diff --git a/.JuliaFormatter.toml b/.JuliaFormatter.toml deleted file mode 100644 index 8518d202..00000000 --- a/.JuliaFormatter.toml +++ /dev/null @@ -1,8 +0,0 @@ -# Use SciML style: https://github.com/SciML/SciMLStyle -style = "sciml" - -# Python style alignment. See https://github.com/domluna/JuliaFormatter.jl/pull/732. -yas_style_nesting = true - -# Align struct fields for better readability of large struct definitions -align_struct_field = true diff --git a/.gitignore b/.gitignore index 8e42135f..49815f30 100644 --- a/.gitignore +++ b/.gitignore @@ -6,6 +6,7 @@ solution_* *.png *.gif *.xyz +!examples/data/geo.xyz docs/build docs/src/authors.md docs/src/changelog.md diff --git a/Project.toml b/Project.toml index 2a21a897..07a64f24 100644 --- a/Project.toml +++ b/Project.toml @@ -4,7 +4,10 @@ authors = ["maxbertrand1996 ", "Andrew R. Winter version = "0.1.4-DEV" [deps] +DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" Downloads = "f43a241f-c20a-4ad4-852c-f6b1247861c6" +GMT = "5752ebe1-31b9-557e-87aa-f909b540aa54" +GeophysicalModelGenerator = "3700c31b-fa53-48a6-808a-ef22d5a84742" LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" @@ -13,10 +16,14 @@ StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a" [extensions] +TrixiBottomTopographyGeophysicalModelGeneratorExt = "GeophysicalModelGenerator" TrixiBottomTopographyMakieExt = "Makie" [compat] +DataFrames = "1.5" Downloads = "1.6" +GMT = "1.0" +GeophysicalModelGenerator = "0.7.14" LinearAlgebra = "1" Makie = "0.21, 0.22" SparseArrays = "1" diff --git a/docs/Project.toml b/docs/Project.toml index 59687ec2..bad050cd 100644 --- a/docs/Project.toml +++ b/docs/Project.toml @@ -2,8 +2,13 @@ CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" Changelog = "5217a498-cd5d-4ec6-b8c2-9b85a09b6e3e" Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" +GMT = "5752ebe1-31b9-557e-87aa-f909b540aa54" +GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326" +GeophysicalModelGenerator = "3700c31b-fa53-48a6-808a-ef22d5a84742" +Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a" OrdinaryDiffEqLowStorageRK = "b0944070-b475-4768-8dec-fb6eb410534d" Trixi = "a7f1ee26-1774-49b1-8366-f1abc58fbfcb" +Trixi2Vtk = "bc1476a1-1ca6-4cc3-950b-c312b255ff95" TrixiBottomTopography = "86af9953-43df-404b-8eaa-d20d82623a82" TrixiShallowWater = "804cb1fc-5b08-4398-a671-a789bfe091b3" @@ -11,6 +16,8 @@ TrixiShallowWater = "804cb1fc-5b08-4398-a671-a789bfe091b3" CairoMakie = "0.13" Changelog = "1.1" Documenter = "1.3" +GeometryBasics = "0.5" +Makie = "0.21, 0.22" OrdinaryDiffEqLowStorageRK = "1.3" Trixi = "0.12" TrixiShallowWater = "0.2" diff --git a/docs/make.jl b/docs/make.jl index fe16c76f..38bcc9ee 100644 --- a/docs/make.jl +++ b/docs/make.jl @@ -6,33 +6,38 @@ using Changelog: Changelog # Copy list of authors to not need to synchronize it manually. # Since the authors header exists twice we create a unique identifier for the docs section. authors_text = read(joinpath(dirname(@__DIR__), "AUTHORS.md"), String) -authors_text = replace(authors_text, - "in the [LICENSE.md](LICENSE.md) file" => "under [License](@ref)") -authors_text = replace(authors_text, - "# Authors" => "# [Authors](@id trixi_bt_authors)") +authors_text = + replace(authors_text, "in the [LICENSE.md](LICENSE.md) file" => "under [License](@ref)") +authors_text = replace(authors_text, "# Authors" => "# [Authors](@id trixi_bt_authors)") write(joinpath(@__DIR__, "src", "authors.md"), authors_text) # Define module-wide setups such that the respective modules are available in doctests -DocMeta.setdocmeta!(TrixiBottomTopography, :DocTestSetup, :(using TrixiBottomTopography); - recursive = true) +DocMeta.setdocmeta!( + TrixiBottomTopography, + :DocTestSetup, + :(using TrixiBottomTopography); + recursive = true, +) # Copy some files from the repository root directory to the docs and modify them # as necessary # Based on: https://github.com/ranocha/SummationByPartsOperators.jl/blob/0206a74140d5c6eb9921ca5021cb7bf2da1a306d/docs/make.jl#L27-L41 open(joinpath(@__DIR__, "src", "code_of_conduct.md"), "w") do io # Point to source license file - println(io, - """ - ```@meta - EditURL = "https://github.com/trixi-framework/TrixiBottomTopography.jl/blob/main/CODE_OF_CONDUCT.md" - ``` - """) + println( + io, + """ + ```@meta + EditURL = "https://github.com/trixi-framework/TrixiBottomTopography.jl/blob/main/CODE_OF_CONDUCT.md" + ``` + """, + ) # Write the modified contents println(io, "# [Code of Conduct](@id code-of-conduct)") println(io, "") for line in eachline(joinpath(dirname(@__DIR__), "CODE_OF_CONDUCT.md")) - line = replace(line, - "[AUTHORS.md](AUTHORS.md)" => "[Authors](@ref trixi_bt_authors)") + line = + replace(line, "[AUTHORS.md](AUTHORS.md)" => "[Authors](@ref trixi_bt_authors)") println(io, "> ", line) end end @@ -40,41 +45,41 @@ end # Copy contributing information to not need to synchronize it manually open(joinpath(@__DIR__, "src", "contributing.md"), "w") do io # Point to source license file - println(io, - """ - ```@meta - EditURL = "https://github.com/trixi-framework/TrixiBottomTopography.jl/blob/main/CONTRIBUTING.md" - ``` - """) + println( + io, + """ + ```@meta + EditURL = "https://github.com/trixi-framework/TrixiBottomTopography.jl/blob/main/CONTRIBUTING.md" + ``` + """, + ) # Write the modified contents for line in eachline(joinpath(dirname(@__DIR__), "CONTRIBUTING.md")) line = replace(line, "[LICENSE.md](LICENSE.md)" => "[License](@ref)") - line = replace(line, - "[AUTHORS.md](AUTHORS.md)" => "[Authors](@ref trixi_bt_authors)") + line = + replace(line, "[AUTHORS.md](AUTHORS.md)" => "[Authors](@ref trixi_bt_authors)") println(io, line) end end # Copy contents form README to the starting page to not need to synchronize it manually readme_text = read(joinpath(dirname(@__DIR__), "README.md"), String) -readme_text = replace(readme_text, - "[LICENSE.md](LICENSE.md)" => "[License](@ref)") -readme_text = replace(readme_text, - "[AUTHORS.md](AUTHORS.md)" => "[Authors](@ref trixi_bt_authors)") -readme_text = replace(readme_text, - " "```@raw html\n" => "p>\n```") -readme_text = replace(readme_text, - r"\[comment\].*\n" => "") # remove comments +readme_text = replace(readme_text, "[LICENSE.md](LICENSE.md)" => "[License](@ref)") +readme_text = + replace(readme_text, "[AUTHORS.md](AUTHORS.md)" => "[Authors](@ref trixi_bt_authors)") +readme_text = replace(readme_text, " "```@raw html\n" => "p>\n```") +readme_text = replace(readme_text, r"\[comment\].*\n" => "") # remove comments write(joinpath(@__DIR__, "src", "index.md"), readme_text) # Create changelog -Changelog.generate(Changelog.Documenter(), # output type - joinpath(@__DIR__, "..", "NEWS.md"), # input file - joinpath(@__DIR__, "src", "changelog_tmp.md"); # output file - repo = "trixi-framework/TrixiBottomTopography.jl", # default repository for links - branch = "main",) +Changelog.generate( + Changelog.Documenter(), # output type + joinpath(@__DIR__, "..", "NEWS.md"), # input file + joinpath(@__DIR__, "src", "changelog_tmp.md"); # output file + repo = "trixi-framework/TrixiBottomTopography.jl", # default repository for links + branch = "main", +) # Fix edit URL of changelog open(joinpath(@__DIR__, "src", "changelog.md"), "w") do io for line in eachline(joinpath(@__DIR__, "src", "changelog_tmp.md")) @@ -89,37 +94,45 @@ rm(joinpath(@__DIR__, "src", "changelog_tmp.md")) # Make documentation makedocs(; - modules = [TrixiBottomTopography], - authors = "Andrew R. Winters , Michael Schlottke-Lakemper ", - sitename = "TrixiBottomTopography.jl", - format = Documenter.HTML(; - # Disable pretty URLs during manual testing - prettyurls = get(ENV, "CI", "false") == "true", - # Set canonical URL to GitHub pages URL - canonical = "https://trixi-framework.github.io/TrixiBottomTopography.jl/stable", - edit_link = "main", - size_threshold_ignore = ["index.md"],), - # Explicitly specify documentation structure - pages = ["Home" => "index.md", - "Overview" => [ - "Data conversion" => "conversion.md", - "B-spline structure" => "structure.md", - "B-spline function" => "function.md" - ], - "TrixiShallowWater.jl examples" => "trixishallowwater_jl_examples.md", - "Advanced topics & developers" => ["Development" => "development.md", - "Style guide" => "styleguide.md", - "Testing" => "testing.md"], - "Changelog" => "changelog.md", - "Authors" => "authors.md", - "Contributing" => "contributing.md", - "Code of Conduct" => "code_of_conduct.md", - "License" => "license.md", - "Reference" => "reference.md"]) + modules = [TrixiBottomTopography], + authors = "Andrew R. Winters , Michael Schlottke-Lakemper ", + sitename = "TrixiBottomTopography.jl", + format = Documenter.HTML(; + # Disable pretty URLs during manual testing + prettyurls = get(ENV, "CI", "false") == "true", + # Set canonical URL to GitHub pages URL + canonical = "https://trixi-framework.github.io/TrixiBottomTopography.jl/stable", + edit_link = "main", + size_threshold_ignore = ["index.md"], + ), + # Explicitly specify documentation structure + pages = [ + "Home" => "index.md", + "Overview" => [ + "Data conversion" => "conversion.md", + "B-spline structure" => "structure.md", + "B-spline function" => "function.md", + ], + "TrixiShallowWater.jl examples" => "trixishallowwater_jl_examples.md", + "Advanced topics & developers" => [ + "Development" => "development.md", + "Style guide" => "styleguide.md", + "Testing" => "testing.md", + ], + "Changelog" => "changelog.md", + "Authors" => "authors.md", + "Contributing" => "contributing.md", + "Code of Conduct" => "code_of_conduct.md", + "License" => "license.md", + "Reference" => "reference.md", + ], +) # Documenter can also automatically deploy documentation to gh-pages. # See "Hosting Documentation" and deploydocs() in the Documenter manual # for more information. -deploydocs(repo = "github.com/trixi-framework/TrixiBottomTopography.jl.git", - devbranch = "main", - push_preview = true) +deploydocs( + repo = "github.com/trixi-framework/TrixiBottomTopography.jl.git", + devbranch = "main", + push_preview = true, +) diff --git a/docs/src/create_convert_geo_data.md b/docs/src/create_convert_geo_data.md new file mode 100644 index 00000000..15f62b3d --- /dev/null +++ b/docs/src/create_convert_geo_data.md @@ -0,0 +1,214 @@ +# Create and convert real topography data +In this section, it is explained how to get real topography data using GeophysicalModelGenerator.jl and make it accessible to TrixiBottomTopography. The necessary structure of the data for TrixiBottomTopography is explained in the `docs/src/conversion.md` file. In the file `docs/src/trixishallowwater_jl_geo_data_examples`, it is then explained how to properly run simulations with this data. In the following, we will consider the example file `create_convert_data_geo.jl`. + +## Getting an impression of the topography data + +To get a first impression of the desired topography, TrixiBottomTopography.jl provides the function `geo_topo_impression`. First, we import our packages to be able to use all the functions. + +```julia +# Include packages +using GeophysicalModelGenerator +using TrixiBottomTopography +using GMT # needs to be installed for the functions geo_topo_impression and create_topography_data +``` + +Next, we can run `geo_topo_impression` to load and preview the topography data: + +```julia +# Get a first impression of the topography data +Topo, p, Topo_Cart = geo_topo_impression( + resolution="@earth_relief_01s", + lon_min=6.963880, + lon_max=6.978499, + lat_min=50.947861, + lat_max=50.957095 +) +``` + +This function requires you to: + +- **Define the geographic region**: Specify the longitude and latitude coordinates for your area of interest. The values used here correspond to the example from `docs/src/conversion.md`. + +- **Choose the data resolution**: Select from the available topography datasets. Higher resolution means more detailed data but larger file sizes. + +The function returns three important objects: +- `Topo`: The raw topography data from GeophysicalModelGenerator. +- `p`: The projection point used for coordinate transformation. The projection point is chosen to be in the middle of the chosen area. +- `Topo_Cart`: The topography data converted to Cartesian coordinates. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
DatasetResolutionDescription
"@earth_relief_01s"1 arc secSRTM tiles (14297 tiles, land only, 60S-60N) [NASA/USGS]
"@earth_relief_03s"3 arc secSRTM tiles (14297 tiles, land only, 60S-60N) [NASA/USGS]
"@earth_relief_15s"15 arc secSRTM15+ [David Sandwell, SIO/UCSD]
"@earth_relief_30s"30 arc secSRTM30+ [Becker et al., 2009, SIO/UCSD]
"@earth_relief_01m"1 arc minETOPO1 Ice surface [NEIC/NOAA]
"@earth_relief_02m"2 arc minETOPO2v2 Ice surface [NEIC/NOAA]
"@earth_relief_03m"3 arc minETOPO1 after Gaussian spherical filtering (5.6 km fullwidth)
"@earth_relief_04m"4 arc minETOPO1 after Gaussian spherical filtering (7.5 km fullwidth)
"@earth_relief_05m"5 arc minETOPO1 after Gaussian spherical filtering (9 km fullwidth)
"@earth_relief_06m"6 arc minETOPO1 after Gaussian spherical filtering (10 km fullwidth)
"@earth_relief_10m"10 arc minETOPO1 after Gaussian spherical filtering (18 km fullwidth)
"@earth_relief_15m"15 arc minETOPO1 after Gaussian spherical filtering (28 km fullwidth)
"@earth_relief_20m"20 arc minETOPO1 after Gaussian spherical filtering (37 km fullwidth)
"@earth_relief_30m"30 arc minETOPO1 after Gaussian spherical filtering (55 km fullwidth)
"@earth_relief_60m"60 arc minETOPO1 after Gaussian spherical filtering (111 km fullwidth)
+ +## Creating structured topography data + +Based on the topography data from `geo_topo_impression`, we can now create a structured grid onto which the topography data is then interpolated by using the `create_topography_data` function. + +```julia + +data_dir = joinpath(@__DIR__, "examples/data") +mkpath(data_dir) + +# Create a grid onto which the topography data is interpolated +df_xyz, Topo_Cart_orth = create_topography_data( + low_x = -0.5, + high_x = 0.499, + gridsize_x = 0.001, + low_y = -0.5, + high_y = 0.499, + gridsize_y = 0.002, + write_path = data_dir, + dataname = "geo.xyz", + Topo = Topo, + p = p +) +``` + +This function requires you to specify: + +- **Spatial domain**: Define the boundaries of your simulation area using `low_x`, `high_x`, `low_y`, and `high_y` (in kilometers). +- **Grid resolution**: Set the spacing between grid points using `gridsize_x` and `gridsize_y` (in kilometers). This defines the resolution of the grid onto which the topography data is interpolated. +- **Output settings**: Choose the directory (`write_path`) and filename (`dataname`) for the resulting data file. +- **Input data**: Pass the `Topo` and `p` objects from the previous `geo_topo_impression` call. + +The function returns: +- `df_xyz`: A DataFrame containing the projected coordinates and elevation data. +- `Topo_Cart_orth`: A CartData object with the topography data interpolated onto regular grid points. + +**Important notes:** +- All input distance parameters are in **kilometers**. +- The output file contains coordinates and elevations in **meters**. +- The output file format is space-separated with columns: x y z. + + + +For more detailed information about the coordinate projections and transformations used in these functions, refer to the [projection section of the GeophysicalModelGenerator.jl user guide](https://juliageodynamics.github.io/GeophysicalModelGenerator.jl/dev/man/projection/). + + +## Conversion functions + +After creating the structured topography data with `create_topography_data`, we need to convert the `geo.xyz` file into the correct format required by TrixiBottomTopography. The required format is explained in `docs/src/conversion.md`. TrixiBottomTopography provides two specialized functions for this conversion using not only quadratic but also rectangular domains: + +- `convert_geo_1d`: For one-dimensional interpolation along either x or y direction. +- `convert_geo_2d`: For two-dimensional interpolation preserving the full grid structure. + +### Converting to 1D format + +```julia +# Define file paths +path_src_file = joinpath(data_dir, "geo.xyz") + +path_out_file_1d_x = joinpath(data_dir, "rhine_data_1d_20_x_geo.txt") +path_out_file_1d_y = joinpath(data_dir, "rhine_data_1d_20_y_geo.txt") +path_out_file_2d = joinpath(data_dir, "rhine_data_2d_20_geo.txt") + +# Get grid dimensions from the CartData object +nx = size(Topo_Cart_orth.x.val, 1) +ny = size(Topo_Cart_orth.y.val, 2) + +# Convert to 1D format in x-direction (taking section 10 in y-direction) +convert_geo_1d(path_src_file, path_out_file_1d_x, nx=nx, ny=ny; + excerpt=20, section=10) + +# Convert to 1D format in y-direction (taking section 100 in x-direction) +convert_geo_1d(path_src_file, path_out_file_1d_y, nx=nx, ny=ny; + excerpt=20, direction="y", section=100) +``` + +The `convert_geo_1d` function parameters: +- **`nx`, `ny`**: Grid dimensions from the original structured data. +- **`excerpt`**: Stride parameter - extracts every nth data point (20 means every 20th point). +- **`direction`**: Either "x" or "y" to specify the extraction direction. +- **`section`**: Which cross-section to extract from the perpendicular direction. + +### Converting to 2D format + +```julia +# Convert to 2D format +convert_geo_2d(path_src_file, path_out_file_2d, nx=nx, ny=ny; excerpt=20) +``` + +The `convert_geo_2d` function preserves the two-dimensional structure while applying the stride parameter to reduce data density. \ No newline at end of file diff --git a/docs/src/trixishallowwater_jl_geo_data_examples.md b/docs/src/trixishallowwater_jl_geo_data_examples.md new file mode 100644 index 00000000..1a7cb190 --- /dev/null +++ b/docs/src/trixishallowwater_jl_geo_data_examples.md @@ -0,0 +1,364 @@ + +# Examples with real topography data from GeophysicalModelGenerator.jl + +This section demonstrates how to use the topography data created with GeophysicalModelGenerator.jl functions (`geo_topo_impression` and `create_topography_data`) in combination with [TrixiShallowWater.jl](https://github.com/trixi-framework/TrixiShallowWater.jl) to simulate shallow water flow over real-world topography. + +The workflow follows these steps: +1. Load the converted topography data files (as shown in `docs/src/create_convert_geo_data.md`). +2. Create B-spline interpolations of the topography. +3. Set up and run shallow water simulations. +4. Visualize the results. + +The example files used in this section can be found here: +- 1D example: `examples/trixishallowwater_damn_break_1D_geo_data.jl` +- 2D example: `examples/trixishallowwater_damn_break_2D_geo_data.jl` + +## One dimensional dam break with real topography + +This example demonstrates a 1D dam break simulation using real Rhine River topography data processed through the GeophysicalModelGenerator workflow. + +### Setup and data loading + +First, we include the necessary packages and load the topography data: + +```julia +# Include packages +using TrixiBottomTopography +using OrdinaryDiffEqLowStorageRK +using Trixi +using TrixiShallowWater +using CairoMakie +using GeophysicalModelGenerator +using GMT + + +data_dir = joinpath(@__DIR__, "examples/data") +mkpath(data_dir) + +data_file = joinpath(data_dir, "rhine_data_1d_20_x_geo.txt") + +data = data_file + +``` + +### B-spline interpolation + +The topography data is interpolated using cubic B-splines to create a smooth bottom function: + +```julia +# Define B-spline structure +spline_struct = CubicBSpline(data; end_condition = "not-a-knot", smoothing_factor = 999) + +spline_func(x) = spline_interpolation(spline_struct, x) +``` + +### Visualization of the topography + +Before running the simulation, we can visualize the interpolated topography: + +```julia +# Define interpolation points +n = 100 +x_int_pts = Vector(LinRange(spline_struct.x[1], spline_struct.x[end], n)) + +# Get interpolated values +y_int_pts = spline_func.(x_int_pts) + +# Plot the topography +plot_topography(x_int_pts, y_int_pts; xlabel = "x[m]", ylabel = "z[m]") +``` + +### Shallow water equations setup + +We define the 1D shallow water equations with appropriate physical parameters: + +```julia +equations = ShallowWaterEquations1D(gravity = 1.0, H0 = 55.0) +``` + +### Initial condition for dam break + +The initial condition creates a dam break scenario where water is initially higher in a central region: + +```julia +# Defining initial condition for the dam break problem +function initial_condition_dam_break(x, t, equations::ShallowWaterEquations1D) + inicenter = SVector(0.0) + x_norm = x[1] - inicenter[1] + r = abs(x_norm) + + # Calculate primitive variables + H = r < 50 ? 70.0 : 60.0 # Higher water in center region + v = 0.0 # Initial velocity is zero + b = spline_func(x[1]) # Bottom topography from B-spline + + return prim2cons(SVector(H, v, b), equations) +end + +# Setting initial condition +initial_condition = initial_condition_dam_break + +# Setting the boundary to be a reflective wall +boundary_condition = boundary_condition_slip_wall +``` + +### Numerical solver setup + +Get the DG approximation in space: + +```julia +############################################################################### +# Get the DG approximation space + +volume_flux = (flux_wintermeyer_etal, flux_nonconservative_wintermeyer_etal) +solver = DGSEM(polydeg = 3, surface_flux = (flux_hll, flux_nonconservative_fjordholm_etal), + volume_integral = VolumeIntegralFluxDifferencing(volume_flux)) +``` + +### Mesh and semidiscretization + +Here we use a TreeMesh: + +```julia +############################################################################### +# Get the TreeMesh and setup a periodic mesh + +coordinates_min = spline_struct.x[1] +coordinates_max = spline_struct.x[end] +mesh = TreeMesh(coordinates_min, coordinates_max, + initial_refinement_level = 3, + n_cells_max = 10_000, + periodicity = false) + +# create the semi discretization object +semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver, + boundary_conditions = boundary_condition) +``` + +### Time integration and solution + +Finally solving the PDE: + +```julia +############################################################################### +# ODE solvers + +tspan = (0.0, 100.0) +ode = semidiscretize(semi, tspan) + +############################################################################### +# run the simulation + +# define equidistant nodes in time for visualization of an animation +visnodes = range(tspan[1], tspan[2], length = 90) + +# use a Runge-Kutta method with error-based time step size control +sol = solve(ode, RDPK3SpFSAL49(), abstol = 1.0e-8, reltol = 1.0e-8, + saveat = visnodes) +``` + +### Animation creation + +The solution is visualized as an animation showing the evolution of water height over the real topography: + +```julia +# Create animation of the solution +j = Observable(1) +time = Observable(0.0) + +pd_list = [PlotData1D(sol.u[i], semi) for i in 1:length(sol.t)] +f = Figure() +title_string = lift(t -> "time t = $(round(t, digits=3))", time) +ax = Axis(f[1, 1], xlabel = "x[m]", ylabel = "z[m]", title = title_string) + +height = lift(i -> pd_list[i].data[:, 1], j) +bottom = lift(i -> pd_list[i].data[:, 3], j) +CairoMakie.lines!(ax, pd_list[1].x, height) +CairoMakie.lines!(ax, pd_list[1].x, bottom) +ylims!(ax, 30, 90) + +record(f, "animation_geo.gif", 1:length(pd_list)) do tt + j[] = tt + time[] = sol.t[tt] +end +``` + +## Two dimensional dam break with real topography + +This example extends the simulation to 2D, using the real Rhine River topography data processed through GeophysicalModelGenerator. + +### Setup and data loading + +```julia +# Include packages +using TrixiBottomTopography +using OrdinaryDiffEqLowStorageRK +using Trixi +using TrixiShallowWater +using CairoMakie +using Trixi2Vtk +using GeophysicalModelGenerator +using GMT + + +data_dir = joinpath(@__DIR__, "examples/data") +mkpath(data_dir) + +data_file = joinpath(data_dir, "rhine_data_2d_20_geo.txt") + +data = data_file + +``` + +### Bicubic B-spline interpolation + +For 2D topography, we use bicubic B-splines: + +```julia +# B-spline interpolation of the underlying data +spline_struct = BicubicBSpline(data; end_condition = "not-a-knot", smoothing_factor = 999) + +# Define B-spline interpolation function +spline_func(x, y) = spline_interpolation(spline_struct, x, y) +``` + +### Visualization of 2D topography + +```julia +# Define interpolation points +n = 100 +x_int_pts = Vector(LinRange(spline_struct.x[1], spline_struct.x[end], n)) +y_int_pts = Vector(LinRange(spline_struct.y[1], spline_struct.y[end], n)) + +# Get interpolated matrix +z_int_pts = evaluate_bicubicspline_interpolant(spline_func, x_int_pts, y_int_pts) + +# Plot the topography +plot_topography(x_int_pts, y_int_pts, z_int_pts; + xlabel = "x\n [m]", + ylabel = "y\n [m]", + zlabel = "z\n [m]", + azimuth_angle = 54 * pi / 180, + elevation_angle = 27 * pi / 180) +``` + +### 2D shallow water equations + +```julia +equations = ShallowWaterEquations2D(gravity = 9.81, H0 = 70.0) + +function initial_condition_wave(x, t, equations::ShallowWaterEquations2D) + inicenter = SVector(-10.0, -20.0) # center of the domain + x_norm = x - inicenter + r = sqrt(x_norm[1]^2 + x_norm[2]^2) + + # Calculate primitive variables + H = r < 50 ? 80.0 : 70.0 # Higher water in center region + v1 = 0.0 # Initial x-velocity + v2 = 0.0 # Initial y-velocity + + x1, x2 = x + b = spline_func(x1, x2) # Bottom topography from bicubic B-spline + + return prim2cons(SVector(H, v1, v2, b), equations) +end + +# Setting initial condition +initial_condition = initial_condition_wave + +# Setting boundary conditions for all sides +boundary_condition = Dict(:x_neg => boundary_condition_slip_wall, + :y_neg => boundary_condition_slip_wall, + :y_pos => boundary_condition_slip_wall, + :x_pos => boundary_condition_slip_wall) +``` + +### 2D solver and mesh setup + +```julia +############################################################################### +# Get the DG approximation space + +volume_flux = (flux_wintermeyer_etal, flux_nonconservative_wintermeyer_etal) +solver = DGSEM(polydeg = 3, + surface_flux = (flux_fjordholm_etal, flux_nonconservative_fjordholm_etal), + volume_integral = VolumeIntegralFluxDifferencing(volume_flux)) + +############################################################################### +# create the mesh and semidiscretization +coordinates_min = (spline_struct.x[1], spline_struct.y[1]) +coordinates_max = (spline_struct.x[end], spline_struct.y[end]) + +mesh = P4estMesh((1, 1); + polydeg = 1, + coordinates_min = coordinates_min, + coordinates_max = coordinates_max, + initial_refinement_level = 6, + periodicity = false) + +semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver, + boundary_conditions = boundary_condition) +``` +**Note on mesh choice**: For this 2D simulation, we use `P4estMesh` instead of a `TreeMesh` (as used in the 1D case) because the `TreeMesh` requires cubic domains which we do not have here. + +### Solution with callbacks and output + +For the 2D case, we set up callbacks to save the solution for post-processing with ParaView: + +```julia +tspan = (0.0, 100.0) +ode = semidiscretize(semi, tspan) + +############################################################################### +# Clear the output directory if it exists and create it new for saving the output + +output_dir = "examples/data/out" +if isdir(output_dir) + rm(output_dir, recursive = true) +end +mkpath(output_dir) + +############################################################################### +# Callbacks for the ODE solver + +stepsize_callback = StepsizeCallback(cfl = 0.6) + +save_solution = SaveSolutionCallback(interval = 2, + save_initial_solution = true, + save_final_solution = true, + output_directory = output_dir, + solution_variables = cons2prim) + +callbacks = CallbackSet(stepsize_callback, save_solution) + +############################################################################### +# Solve with positivity preserving limiter + +stage_limiter! = PositivityPreservingLimiterShallowWater(variables = (waterheight,)) + +sol = solve(ode, RDPK3SpFSAL49(stage_limiter!), dt = 1.0, adaptive = false, + callback = callbacks) +``` + +### Post-processing for ParaView + +The 2D results are converted to VTK format for visualization in ParaView: + +```julia +# Save mesh and convert to VTK format +Trixi.save_mesh_file(mesh, output_dir) +trixi2vtk(joinpath(output_dir, "solution_*.h5"), output_directory = output_dir) +``` + +## Visualization in ParaView + +For 2D simulations, the generated VTK files can be opened in ParaView for advanced visualization: + +1. Open the `solution_00000.pvd` file in ParaView. +2. Apply "Warp By Scalar" filter twice: once for water height, once for bathymetry. +3. Customize colors, lighting, and camera angles. +4. Create animations of the time evolution. + +Example videos of such simulations are available here: +- [3D perspective view](https://jgumainz-my.sharepoint.com/:v:/g/personal/vimarks_uni-mainz_de/EVy3I6lXCXZFkbtQpdEbFX4BL-3bJ4-ueNPHsqYd__0pdA) +- [Top-down view](https://jgumainz-my.sharepoint.com/:v:/g/personal/vimarks_uni-mainz_de/EQ9GSqVOilJKjmWUElKHq5UBylGwgLlPLY1oJsRx3r4s6Q) \ No newline at end of file diff --git a/examples/convert_data.jl b/examples/convert_data.jl index 558094be..a780d6e5 100644 --- a/examples/convert_data.jl +++ b/examples/convert_data.jl @@ -12,9 +12,10 @@ using Downloads: download root_dir = pkgdir(TrixiBottomTopography) # Download the raw bottom topography data -path_src_file = download("https://gist.githubusercontent.com/maxbertrand1996/c6917dcf80aef1704c633ec643a531d5/raw/f09b43f604adf9e2cfb45a7d998418f1e72f251d/dgm1_32_357_5646_1_nw.xyz", - joinpath(root_dir, "examples", "data", - "dgm1_32_357_5646_1_nw.xyz")) +path_src_file = download( + "https://gist.githubusercontent.com/maxbertrand1996/c6917dcf80aef1704c633ec643a531d5/raw/f09b43f604adf9e2cfb45a7d998418f1e72f251d/dgm1_32_357_5646_1_nw.xyz", + joinpath(root_dir, "examples", "data", "dgm1_32_357_5646_1_nw.xyz"), +) path_out_file_1d_x = joinpath(root_dir, "examples", "data", "rhine_data_1d_20_x.txt") path_out_file_1d_y = joinpath(root_dir, "examples", "rhine_data_1d_20_y.txt") @@ -22,6 +23,11 @@ path_out_file_2d = joinpath(root_dir, "examples", "rhine_data_2d_20.txt") # Convert data convert_dgm_1d(path_src_file, path_out_file_1d_x; excerpt = 20, section = 100) -convert_dgm_1d(path_src_file, path_out_file_1d_y; excerpt = 20, direction = "y", - section = 100) +convert_dgm_1d( + path_src_file, + path_out_file_1d_y; + excerpt = 20, + direction = "y", + section = 100, +) convert_dgm_2d(path_src_file, path_out_file_2d; excerpt = 20) diff --git a/examples/create_convert_data_geo.jl b/examples/create_convert_data_geo.jl new file mode 100644 index 00000000..468875cf --- /dev/null +++ b/examples/create_convert_data_geo.jl @@ -0,0 +1,61 @@ +############################################################## +# This script creates data from GeophysicalModelGenerator # +# into data files which can be used by TrixiBottomTopography # +############################################################## +using GeophysicalModelGenerator +using TrixiBottomTopography +using GMT # needs to be installed for the functions geo_topo_impression and create_topography_data +using DataFrames + +# Get a first impression of the topography data +Topo, p, Topo_Cart = geo_topo_impression( + resolution = "@earth_relief_01s", + lon_min = 6.963880, + lon_max = 6.978499, + lat_min = 50.947861, + lat_max = 50.957095, +) + +#Create a file with the topography data +df_xyz, Topo_Cart_orth = create_topography_data( + low_x = -0.5, + high_x = 0.499, + gridsize_x = 0.001, + low_y = -0.5, + high_y = 0.499, + gridsize_y = 0.002, + write_path = joinpath(@__DIR__, "data"), + dataname = "geo.xyz", + Topo = Topo, + p = p, +) + +# Define file paths +data_dir = joinpath(@__DIR__, "data") +path_src_file = joinpath(data_dir, "geo.xyz") + +path_out_file_1d_x = joinpath(data_dir, "rhine_data_1d_20_x_geo.txt") +path_out_file_1d_y = joinpath(data_dir, "rhine_data_1d_20_y_geo.txt") +path_out_file_2d = joinpath(data_dir, "rhine_data_2d_20_geo.txt") + +# Convert data +nx = size(Topo_Cart_orth.x.val, 1) +ny = size(Topo_Cart_orth.y.val, 2) +convert_geo_1d( + path_src_file, + path_out_file_1d_x, + nx = nx, + ny = ny; + excerpt = 20, + section = 10, +) +convert_geo_1d( + path_src_file, + path_out_file_1d_y, + nx = nx, + ny = ny; + excerpt = 20, + direction = "y", + section = 100, +) +convert_geo_2d(path_src_file, path_out_file_2d, nx = nx, ny = ny; excerpt = 20) diff --git a/examples/data/geo.xyz b/examples/data/geo.xyz new file mode 100644 index 00000000..5cf2152f --- /dev/null +++ b/examples/data/geo.xyz @@ -0,0 +1,500000 @@ +-500.0 -500.0 49.46784 +-499.0 -500.0 49.39676 +-498.0 -500.0 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b/examples/data/rhine_data_1d_20_x_geo.txt new file mode 100644 index 00000000..4ec77a90 --- /dev/null +++ b/examples/data/rhine_data_1d_20_x_geo.txt @@ -0,0 +1,104 @@ +# Number of x values +50 +# x values +-500.0 +-480.0 +-460.0 +-440.0 +-420.0 +-400.0 +-380.0 +-360.0 +-340.0 +-320.0 +-300.0 +-280.0 +-260.0 +-240.0 +-220.0 +-200.0 +-180.0 +-160.0 +-140.0 +-120.0 +-100.0 +-80.0 +-60.0 +-40.0 +-20.0 +0.0 +20.0 +40.0 +60.0 +80.0 +100.0 +120.0 +140.0 +160.0 +180.0 +200.0 +220.0 +240.0 +260.0 +280.0 +300.0 +320.0 +340.0 +360.0 +380.0 +400.0 +420.0 +440.0 +460.0 +480.0 +# y values +49.91572 +49.75929 +49.34744 +48.69166 +48.55896 +45.87518 +39.96615 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +37.0 +40.2364 +44.15427 +46.21024 +48.39306 +48.85421 +49.84524 +50.01426 +50.0976 +50.14473 +50.53973 +50.4864 +50.32386 +49.66691 +48.76173 +48.12284 +47.40663 +47.17488 +46.97772 +47.61122 +48.0 +48.44738 +48.85844 +48.22165 +47.73538 +47.20852 diff --git a/examples/data/rhine_data_1d_20_y_geo.txt b/examples/data/rhine_data_1d_20_y_geo.txt new file mode 100644 index 00000000..926c708c --- /dev/null +++ b/examples/data/rhine_data_1d_20_y_geo.txt @@ -0,0 +1,54 @@ +# Number of x values +25 +# x values +40.59964 +45.13379 +47.26054 +50.35374 +50.23092 +47.09338 +44.47168 +48.83701 +52.48413 +53.05905 +52.78747 +51.65695 +51.45722 +52.43557 +53.0 +52.20134 +52.13496 +52.73746 +50.20576 +50.59941 +52.26923 +53.97873 +54.97062 +53.97534 +52.06718 +# y values +-500.0 +-460.0 +-420.0 +-380.0 +-340.0 +-300.0 +-260.0 +-220.0 +-180.0 +-140.0 +-100.0 +-60.0 +-20.0 +20.0 +60.0 +100.0 +140.0 +180.0 +220.0 +260.0 +300.0 +340.0 +380.0 +420.0 +460.0 diff --git a/examples/data/rhine_data_2d_20_geo.txt b/examples/data/rhine_data_2d_20_geo.txt new file mode 100644 index 00000000..b92cc8e2 --- /dev/null +++ b/examples/data/rhine_data_2d_20_geo.txt @@ -0,0 +1,1332 @@ +# Number of x values +50 +# Number of y values +25 +# x values +-500.0 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a/examples/rhine_data_bicubic-free.jl +++ b/examples/rhine_data_bicubic-free.jl @@ -31,8 +31,15 @@ if isdefined(Main, :Makie) y_knots = spline_struct.y z_knots = evaluate_bicubicspline_interpolant(spline_func, x_knots, y_knots) - plot_topography_with_interpolation_knots(x_int_pts, y_int_pts, z_int_pts, - x_knots, y_knots, z_knots; - xlabel = "ETRS89 East", - ylabel = "DHHN2016 Height", zlabel = "H") + plot_topography_with_interpolation_knots( + x_int_pts, + y_int_pts, + z_int_pts, + x_knots, + y_knots, + z_knots; + xlabel = "ETRS89 East", + ylabel = "DHHN2016 Height", + zlabel = "H", + ) end diff --git a/examples/rhine_data_bicubic-nak.jl b/examples/rhine_data_bicubic-nak.jl index a93913c6..0e2707be 100644 --- a/examples/rhine_data_bicubic-nak.jl +++ b/examples/rhine_data_bicubic-nak.jl @@ -26,10 +26,14 @@ if isdefined(Main, :Makie) # Get interpolated matrix z_int_pts = evaluate_bicubicspline_interpolant(spline_func, x_int_pts, y_int_pts) - plot_topography(x_int_pts, y_int_pts, z_int_pts; - xlabel = "ETRS89\n East", - ylabel = "ETRS89\n North", - zlabel = "DHHN2016\n Height", - azimuth_angle = 54 * pi / 180, - elevation_angle = 27 * pi / 180) + plot_topography( + x_int_pts, + y_int_pts, + z_int_pts; + xlabel = "ETRS89\n East", + ylabel = "ETRS89\n North", + zlabel = "DHHN2016\n Height", + azimuth_angle = 54 * pi / 180, + elevation_angle = 27 * pi / 180, + ) end diff --git a/examples/rhine_data_bilinear.jl b/examples/rhine_data_bilinear.jl index b4d249e5..1a8c8d7f 100644 --- a/examples/rhine_data_bilinear.jl +++ b/examples/rhine_data_bilinear.jl @@ -25,6 +25,12 @@ if isdefined(Main, :Makie) # Get interpolated matrix z_int_pts = evaluate_bicubicspline_interpolant(spline_func, x_int_pts, y_int_pts) - plot_topography(x_int_pts, y_int_pts, z_int_pts; - xlabel = "E", ylabel = "N", zlabel = "H") + plot_topography( + x_int_pts, + y_int_pts, + z_int_pts; + xlabel = "E", + ylabel = "N", + zlabel = "H", + ) end diff --git a/examples/rhine_data_cubic-free.jl b/examples/rhine_data_cubic-free.jl index 1488f650..454f44de 100644 --- a/examples/rhine_data_cubic-free.jl +++ b/examples/rhine_data_cubic-free.jl @@ -25,7 +25,10 @@ if isdefined(Main, :Makie) # Get interpolated values y_int_pts = spline_func.(x_int_pts) - plot_topography(x_int_pts, y_int_pts; - xlabel = "ETRS89 East", - ylabel = "DHHN2016 Height") + plot_topography( + x_int_pts, + y_int_pts; + xlabel = "ETRS89 East", + ylabel = "DHHN2016 Height", + ) end diff --git a/examples/rhine_data_cubic-nak.jl b/examples/rhine_data_cubic-nak.jl index cca4a75c..d830508b 100644 --- a/examples/rhine_data_cubic-nak.jl +++ b/examples/rhine_data_cubic-nak.jl @@ -30,7 +30,12 @@ if isdefined(Main, :Makie) x_knots = spline_struct.x y_knots = spline_func.(x_knots) - plot_topography_with_interpolation_knots(x_int_pts, y_int_pts, x_knots, y_knots; - xlabel = "ETRS89 East", - ylabel = "DHHN2016 Height") + plot_topography_with_interpolation_knots( + x_int_pts, + y_int_pts, + x_knots, + y_knots; + xlabel = "ETRS89 East", + ylabel = "DHHN2016 Height", + ) end diff --git a/examples/rhine_data_linear.jl b/examples/rhine_data_linear.jl index dd16d761..abfa4045 100644 --- a/examples/rhine_data_linear.jl +++ b/examples/rhine_data_linear.jl @@ -29,8 +29,13 @@ if isdefined(Main, :Makie) x_knots = spline_struct.x y_knots = spline_func.(x_knots) - plot_topography_with_interpolation_knots(x_int_pts, y_int_pts, x_knots, y_knots; - xlabel = "ETRS89 East", - ylabel = "DHHN2016 Height", - legend_position = :rb) + plot_topography_with_interpolation_knots( + x_int_pts, + y_int_pts, + x_knots, + y_knots; + xlabel = "ETRS89 East", + ylabel = "DHHN2016 Height", + legend_position = :rb, + ) end diff --git a/examples/trixishallowwater_dam_break_1D.jl b/examples/trixishallowwater_dam_break_1D.jl index ca902a99..7d4a775c 100644 --- a/examples/trixishallowwater_dam_break_1D.jl +++ b/examples/trixishallowwater_dam_break_1D.jl @@ -11,8 +11,10 @@ using TrixiShallowWater # Download one dimensional Rhine bottom data from gist root_dir = pkgdir(TrixiBottomTopography) -Rhine_data = Trixi.download("https://gist.githubusercontent.com/maxbertrand1996/19c33682b99bfb1cc3116f31dd49bdb9/raw/d96499a1ffe250bc8e4cca8622779bae61543fd8/Rhine_data_1D_40_x_841.txt", - joinpath(root_dir, "examples", "Rhine_data_1D_40_x_841.txt")) +Rhine_data = Trixi.download( + "https://gist.githubusercontent.com/maxbertrand1996/19c33682b99bfb1cc3116f31dd49bdb9/raw/d96499a1ffe250bc8e4cca8622779bae61543fd8/Rhine_data_1D_40_x_841.txt", + joinpath(root_dir, "examples", "Rhine_data_1D_40_x_841.txt"), +) # B-spline interpolation of the underlying data spline_struct = CubicBSpline(Rhine_data) @@ -45,22 +47,33 @@ boundary_condition = boundary_condition_slip_wall # Get the DG approximation space volume_flux = (flux_wintermeyer_etal, flux_nonconservative_wintermeyer_etal) -solver = DGSEM(polydeg = 3, surface_flux = (flux_hll, flux_nonconservative_fjordholm_etal), - volume_integral = VolumeIntegralFluxDifferencing(volume_flux)) +solver = DGSEM( + polydeg = 3, + surface_flux = (flux_hll, flux_nonconservative_fjordholm_etal), + volume_integral = VolumeIntegralFluxDifferencing(volume_flux), +) ############################################################################### # Get the TreeMesh coordinates_min = spline_struct.x[1] coordinates_max = spline_struct.x[end] -mesh = TreeMesh(coordinates_min, coordinates_max, - initial_refinement_level = 3, - n_cells_max = 10_000, - periodicity = false) +mesh = TreeMesh( + coordinates_min, + coordinates_max, + initial_refinement_level = 3, + n_cells_max = 10_000, + periodicity = false, +) # create the semi discretization object -semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver, - boundary_conditions = boundary_condition) +semi = SemidiscretizationHyperbolic( + mesh, + equations, + initial_condition, + solver, + boundary_conditions = boundary_condition, +) ############################################################################### # ODE solvers @@ -75,19 +88,22 @@ ode = semidiscretize(semi, tspan) visnodes = range(tspan[1], tspan[2], length = 90) # use a Runge-Kutta method with error based time step size control -sol = solve(ode, RDPK3SpFSAL49(), abstol = 1.0e-8, reltol = 1.0e-8, - saveat = visnodes); +sol = solve(ode, RDPK3SpFSAL49(), abstol = 1.0e-8, reltol = 1.0e-8, saveat = visnodes); # Create an animation of the solution if isdefined(Main, :Makie) j = Makie.Observable(1) time = Makie.Observable(0.0) - pd_list = [PlotData1D(sol.u[i], semi) for i in 1:length(sol.t)] + pd_list = [PlotData1D(sol.u[i], semi) for i = 1:length(sol.t)] f = Makie.Figure() title_string = lift(t -> "time t = $(round(t, digits=3))", time) - ax = Makie.Axis(f[1, 1], xlabel = "ETRS89 East", ylabel = "DHHN2016", - title = title_string) + ax = Makie.Axis( + f[1, 1], + xlabel = "ETRS89 East", + ylabel = "DHHN2016", + title = title_string, + ) height = lift(i -> pd_list[i].data[:, 1], j) bottom = lift(i -> pd_list[i].data[:, 3], j) diff --git a/examples/trixishallowwater_dam_break_2D.jl b/examples/trixishallowwater_dam_break_2D.jl index 665281cf..e85f35b4 100644 --- a/examples/trixishallowwater_dam_break_2D.jl +++ b/examples/trixishallowwater_dam_break_2D.jl @@ -11,8 +11,10 @@ using TrixiShallowWater # Download two dimensional Rhine bottom data from gist root_dir = pkgdir(TrixiBottomTopography) -Rhine_data = Trixi.download("https://gist.githubusercontent.com/maxbertrand1996/a30db4dc9f5427c78160321d75a08166/raw/fa53ceb39ac82a6966cbb14e1220656cf7f97c1b/Rhine_data_2D_40.txt", - joinpath(root_dir, "examples", "Rhine_data_2D_40.txt")) +Rhine_data = Trixi.download( + "https://gist.githubusercontent.com/maxbertrand1996/a30db4dc9f5427c78160321d75a08166/raw/fa53ceb39ac82a6966cbb14e1220656cf7f97c1b/Rhine_data_2D_40.txt", + joinpath(root_dir, "examples", "Rhine_data_2D_40.txt"), +) # B-spline interpolation of the underlying data spline_struct = BicubicBSpline(Rhine_data) @@ -46,23 +48,33 @@ boundary_condition = boundary_condition_slip_wall # Get the DG approximation space volume_flux = (flux_wintermeyer_etal, flux_nonconservative_wintermeyer_etal) -solver = DGSEM(polydeg = 3, - surface_flux = (flux_fjordholm_etal, flux_nonconservative_fjordholm_etal), - volume_integral = VolumeIntegralFluxDifferencing(volume_flux)) +solver = DGSEM( + polydeg = 3, + surface_flux = (flux_fjordholm_etal, flux_nonconservative_fjordholm_etal), + volume_integral = VolumeIntegralFluxDifferencing(volume_flux), +) ############################################################################### # Get the TreeMesh and setup a periodic mesh coordinates_min = (spline_struct.x[1], spline_struct.y[1]) coordinates_max = (spline_struct.x[end], spline_struct.y[end]) -mesh = TreeMesh(coordinates_min, coordinates_max, - initial_refinement_level = 3, - n_cells_max = 10_000, - periodicity = false) +mesh = TreeMesh( + coordinates_min, + coordinates_max, + initial_refinement_level = 3, + n_cells_max = 10_000, + periodicity = false, +) # create the semi discretization object -semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver, - boundary_conditions = boundary_condition) +semi = SemidiscretizationHyperbolic( + mesh, + equations, + initial_condition, + solver, + boundary_conditions = boundary_condition, +) ############################################################################### # ODE solvers, callbacks etc. @@ -77,29 +89,39 @@ ode = semidiscretize(semi, tspan) visnodes = range(tspan[1], tspan[2], length = 175) # use a Runge-Kutta method with error based time step size control -sol = solve(ode, RDPK3SpFSAL49(), abstol = 1.0e-8, reltol = 1.0e-8, - saveat = visnodes); +sol = solve(ode, RDPK3SpFSAL49(), abstol = 1.0e-8, reltol = 1.0e-8, saveat = visnodes); # Create an animation of the solution if isdefined(Main, :Makie) j = Makie.Observable(1) time = Makie.Observable(0.0) - pd_list = [PlotData2D(sol.u[i], semi) for i in 1:length(sol.t)] + pd_list = [PlotData2D(sol.u[i], semi) for i = 1:length(sol.t)] f = Makie.Figure() title_string = lift(t -> "time t = $(round(t, digits=3))", time) az = 130 * pi / 180 el = 18 * pi / 180 - ax = Makie.Axis3(f[1, 1], xlabel = "E", ylabel = "N", zlabel = "H", - title = title_string, azimuth = az, elevation = el) + ax = Makie.Axis3( + f[1, 1], + xlabel = "E", + ylabel = "N", + zlabel = "H", + title = title_string, + azimuth = az, + elevation = el, + ) height = lift(i -> pd_list[i].data[1], j) bottom = lift(i -> pd_list[i].data[4], j) - Makie.surface!(ax, pd_list[1].x, pd_list[1].y, bottom; - colormap = :greenbrownterrain) - Makie.wireframe!(ax, pd_list[1].x, pd_list[1].y, height; - color = Makie.RGBA(0, 0.5, 1, 0.4)) + Makie.surface!(ax, pd_list[1].x, pd_list[1].y, bottom; colormap = :greenbrownterrain) + Makie.wireframe!( + ax, + pd_list[1].x, + pd_list[1].y, + height; + color = Makie.RGBA(0, 0.5, 1, 0.4), + ) Makie.zlims!(ax, 35, 70) Makie.record(f, "animation_2d.gif", 1:length(pd_list)) do tt diff --git a/examples/trixishallowwater_damn_break_1D_geo_data.jl b/examples/trixishallowwater_damn_break_1D_geo_data.jl new file mode 100644 index 00000000..b932b26f --- /dev/null +++ b/examples/trixishallowwater_damn_break_1D_geo_data.jl @@ -0,0 +1,130 @@ +################################################################################################### +# # This example file visualises the topography data and creates a .gif file of a one dimensional # +# dam break where the bottom topography is generated with GeophysicalModelGenerator. # +################################################################################################### + +using TrixiBottomTopography +using OrdinaryDiffEqLowStorageRK +using Trixi +using TrixiShallowWater +using CairoMakie + +#get the data +data_dir = joinpath(@__DIR__, "data") +data = joinpath(data_dir, "rhine_data_1d_20_x_geo.txt") + +# Define B-spline structure +spline_struct = CubicBSpline(data; end_condition = "not-a-knot", smoothing_factor = 999) + +spline_func(x) = spline_interpolation(spline_struct, x) + +# Define interpolation points +n = 100 +x_int_pts = Vector(LinRange(spline_struct.x[1], spline_struct.x[end], n)) + +# Get interpolated values +y_int_pts = spline_func.(x_int_pts) + +# Plot the topography +plot_topography(x_int_pts, y_int_pts; xlabel = "x[m]", ylabel = "z[m]") + +# Get the original interpolation knots +x_knots = spline_struct.x +y_knots = spline_func.(x_knots) + +plot_topography_with_interpolation_knots( + x_int_pts, + y_int_pts, + x_knots, + y_knots; + xlabel = "x[m]", + ylabel = "z[m]", +) + +equations = ShallowWaterEquations1D(gravity = 1.0, H0 = 55.0) +# Defining initial condition for the dam break problem +function initial_condition_dam_break(x, t, equations::ShallowWaterEquations1D) + inicenter = SVector(0.0) + x_norm = x[1] - inicenter[1] + r = abs(x_norm) + + # Calculate primitive variables + H = r < 50 ? 70.0 : 60.0 + v = 0.0 + b = spline_func(x[1]) + + return prim2cons(SVector(H, v, b), equations) +end + +# Setting initial condition +initial_condition = initial_condition_dam_break + +# Setting the boundary to be a reflective wall +boundary_condition = boundary_condition_slip_wall + +############################################################################### +# Get the DG approximation space + +volume_flux = (flux_wintermeyer_etal, flux_nonconservative_wintermeyer_etal) +solver = DGSEM( + polydeg = 3, + surface_flux = (flux_hll, flux_nonconservative_fjordholm_etal), + volume_integral = VolumeIntegralFluxDifferencing(volume_flux), +) + +############################################################################### +# Get the TreeMesh and setup a periodic mesh + +coordinates_min = spline_struct.x[1] +coordinates_max = spline_struct.x[end] +mesh = TreeMesh( + coordinates_min, + coordinates_max, + initial_refinement_level = 3, + n_cells_max = 10_000, + periodicity = false, +) + +# create the semi discretization object +semi = SemidiscretizationHyperbolic( + mesh, + equations, + initial_condition, + solver, + boundary_conditions = boundary_condition, +) + +############################################################################### +# ODE solvers + +tspan = (0.0, 100.0) +ode = semidiscretize(semi, tspan) + +############################################################################### +# run the simulation + +# define equidistant nodes in time for visualization of an animation +visnodes = range(tspan[1], tspan[2], length = 90) + +# use a Runge-Kutta method with error-based time step size control +sol = solve(ode, RDPK3SpFSAL49(), abstol = 1.0e-8, reltol = 1.0e-8, saveat = visnodes) + +# Create animation of the solution +j = Observable(1) +time = Observable(0.0) + +pd_list = [PlotData1D(sol.u[i], semi) for i = 1:length(sol.t)] +f = Figure() +title_string = lift(t -> "time t = $(round(t, digits=3))", time) +ax = Axis(f[1, 1], xlabel = "x[m]", ylabel = "z[m]", title = title_string) + +height = lift(i -> pd_list[i].data[:, 1], j) +bottom = lift(i -> pd_list[i].data[:, 3], j) +CairoMakie.lines!(ax, pd_list[1].x, height) +CairoMakie.lines!(ax, pd_list[1].x, bottom) +ylims!(ax, 30, 90) + +record(f, "animation_geo.gif", 1:length(pd_list)) do tt + j[] = tt + time[] = sol.t[tt] +end diff --git a/examples/trixishallowwater_damn_break_2D_geo_data.jl b/examples/trixishallowwater_damn_break_2D_geo_data.jl new file mode 100644 index 00000000..2aa27aaf --- /dev/null +++ b/examples/trixishallowwater_damn_break_2D_geo_data.jl @@ -0,0 +1,159 @@ +########################################################################### +# This example file visualises the topography data and shows a simulation # +# created with Trixi2Vtk of a two dimensional dam break where the bottom # +# topography is generated with GeophysicalModelGenerator. # +########################################################################### +# Include packages +using TrixiBottomTopography +using OrdinaryDiffEqLowStorageRK +using Trixi +using TrixiShallowWater +using CairoMakie: scatter +using Trixi2Vtk + +# Load the created two dimensional Rhine bottom data topography data +data_dir = joinpath(@__DIR__, "data") +data = joinpath(data_dir, "rhine_data_2d_20_geo.txt") + +# B-spline interpolation of the underlying data +spline_struct = BicubicBSpline(data; end_condition = "not-a-knot", smoothing_factor = 999) + +# Define B-spline interpolation function +spline_func(x, y) = spline_interpolation(spline_struct, x, y) + +# Define interpolation points +n = 100 +x_int_pts = Vector(LinRange(spline_struct.x[1], spline_struct.x[end], n)) +y_int_pts = Vector(LinRange(spline_struct.y[1], spline_struct.y[end], n)) + +# Get interpolated matrix + +z_int_pts = evaluate_bicubicspline_interpolant(spline_func, x_int_pts, y_int_pts) + +# Plot the topography +plot_topography( + x_int_pts, + y_int_pts, + z_int_pts; + xlabel = "x\n [m]", + ylabel = "y\n [m]", + zlabel = "z\n [m]", + azimuth_angle = 54 * pi / 180, + elevation_angle = 27 * pi / 180, +) + +equations = ShallowWaterEquations2D(gravity = 9.81, H0 = 70.0) # 55, 65 + +function initial_condition_wave(x, t, equations::ShallowWaterEquations2D) + inicenter = SVector(-10.0, -20.0) # center of the domain + x_norm = x - inicenter + r = sqrt(x_norm[1]^2 + x_norm[2]^2) + + # Calculate primitive variables + H = r < 50 ? 80.0 : 70.0 # 65, 70 + v1 = 0.0 + v2 = 0.0 + + x1, x2 = x + b = spline_func(x1, x2) + + return prim2cons(SVector(H, v1, v2, b), equations) +end + +# Setting initial condition +initial_condition = initial_condition_wave + +# Setting the boundary to be a free-slip wall for a P4estMesh + +boundary_condition = Dict( + :x_neg => boundary_condition_slip_wall, + :y_neg => boundary_condition_slip_wall, + :y_pos => boundary_condition_slip_wall, + :x_pos => boundary_condition_slip_wall, +) + +############################################################################### +# Get the DG approximation space + +volume_flux = (flux_wintermeyer_etal, flux_nonconservative_wintermeyer_etal) +solver = DGSEM( + polydeg = 3, + surface_flux = (flux_fjordholm_etal, flux_nonconservative_fjordholm_etal), + volume_integral = VolumeIntegralFluxDifferencing(volume_flux), +) + +############################################################################### +# create the mesh and semidiscretization +coordinates_min = (spline_struct.x[1], spline_struct.y[1]) +coordinates_max = (spline_struct.x[end], spline_struct.y[end]) + +mesh_1 = P4estMesh( + (1, 1); + polydeg = 1, + coordinates_min = coordinates_min, + coordinates_max = coordinates_max, + initial_refinement_level = 6, + periodicity = false, +) + +semi = SemidiscretizationHyperbolic( + mesh_1, + equations, + initial_condition, + solver, + boundary_conditions = boundary_condition, +) + +tspan = (0.0, 100.0) +ode = semidiscretize(semi, tspan) + +############################################################################### +# Clear the output directory if it exists and create it new for saving the output later + +output_dir = "out" +if isdir(output_dir) + rm(output_dir, recursive = true) +end +mkpath(output_dir) + +############################################################################### +# Callbacks for the ODE solver + +stepsize_callback = StepsizeCallback(cfl = 0.6) + +save_solution = SaveSolutionCallback( + interval = 2, + save_initial_solution = true, + save_final_solution = true, + output_directory = output_dir, + solution_variables = cons2prim, +) + +callbacks = CallbackSet(stepsize_callback, save_solution);#amr_callback, + +############################################################################### + +stage_limiter! = PositivityPreservingLimiterShallowWater(variables = (waterheight,)) #stage limiter for the water height + +sol = solve( + ode, + RDPK3SpFSAL49(stage_limiter!), + dt = 1.0, + adaptive = false, + callback = callbacks, +) # the stepsize_callback will adjust the time step size automatically + +# To visualize the solution and bathymetry we post-processing the Trixi.jl output file(s) +# with the Trixi2Vtk.jl functionality and plot them with ParaView. + +Trixi.save_mesh_file(mesh_1, output_dir) +trixi2vtk(joinpath(output_dir, "solution_*.h5"), output_directory = output_dir) + +# It is possible to open the created solution_00000.pvd file with ParaView and create a video of the simulation. + +# In ParaView, after opening the solution_00000.pvd file, one can apply two instances +# of the Warp By Scalar filter to visualize the water height and bathymetry in three dimensions. +# Many additional customizations, e.g., color scaling, fonts, etc. are available in ParaView. + +# A created video of the simulation can be found here: https://jgumainz-my.sharepoint.com/:v:/g/personal/vimarks_uni-mainz_de/EVy3I6lXCXZFkbtQpdEbFX4BL-3bJ4-ueNPHsqYd__0pdA?nav=eyJyZWZlcnJhbEluZm8iOnsicmVmZXJyYWxBcHAiOiJPbmVEcml2ZUZvckJ1c2luZXNzIiwicmVmZXJyYWxBcHBQbGF0Zm9ybSI6IldlYiIsInJlZmVycmFsTW9kZSI6InZpZXciLCJyZWZlcnJhbFZpZXciOiJNeUZpbGVzTGlua0NvcHkifX0&e=whBBO4 +# In addition there is also a top view of the solution available here: https://jgumainz-my.sharepoint.com/:v:/g/personal/vimarks_uni-mainz_de/EQ9GSqVOilJKjmWUElKHq5UBylGwgLlPLY1oJsRx3r4s6Q?nav=eyJyZWZlcnJhbEluZm8iOnsicmVmZXJyYWxBcHAiOiJPbmVEcml2ZUZvckJ1c2luZXNzIiwicmVmZXJyYWxBcHBQbGF0Zm9ybSI6IldlYiIsInJlZmVycmFsTW9kZSI6InZpZXciLCJyZWZlcnJhbFZpZXciOiJNeUZpbGVzTGlua0NvcHkifX0&e=pJIz3Z diff --git a/ext/TrixiBottomTopographyGeophysicalModelGeneratorExt.jl b/ext/TrixiBottomTopographyGeophysicalModelGeneratorExt.jl new file mode 100644 index 00000000..1f314759 --- /dev/null +++ b/ext/TrixiBottomTopographyGeophysicalModelGeneratorExt.jl @@ -0,0 +1,140 @@ +module TrixiBottomTopographyGeophysicalModelGeneratorExt + +using GeophysicalModelGenerator +using DataFrames +using TrixiBottomTopography + +# Import the functions so they can be extended +import TrixiBottomTopography: geo_topo_impression, create_topography_data + +""" + geo_topo_impression(; resolution::String, lon_min::Float64, lon_max::Float64, + lat_min::Float64, lat_max::Float64) + +Function to load and convert topographical data from GeophysicalModelGenerator into cartesian +coordinates. + +# Arguments +- `resolution`: String specifying the resolution of topography data (e.g. "@earth_relief_01s") +- `lon_min`: Minimum longitude value for the area of interest +- `lon_max`: Maximum longitude value for the area of interest +- `lat_min`: Minimum latitude value for the area of interest +- `lat_max`: Maximum latitude value for the area of interest + +# Returns +- `Topo`: Original topography data from GeophysicalModelGenerator +- `p`: Projection point used for coordinate transformation +- `Topo_Cart`: Converted topography data in cartesian coordinates + +# Notes +Available resolutions for topography data: +# # | Dataset | Resolution | Description | +# # |:---------------- | ------------ | ----------------------------------------------------------- | +# # | "@earth\\_relief\\_01s" | 1 arc sec | SRTM tiles (14297 tiles, land only, 60S-60N) [NASA/USGS] | +# # | "@earth\\_relief\\_03s" | 3 arc sec | SRTM tiles (14297 tiles, land only, 60S-60N) [NASA/USGS] | +# # | "@earth\\_relief\\_15s" | 15 arc sec | SRTM15+ [David Sandwell, SIO/UCSD] | +# # | "@earth\\_relief\\_30s" | 30 arc sec | SRTM30+ [Becker et al., 2009, SIO/UCSD] | +# # | "@earth\\_relief\\_01m" | 1 arc min | ETOPO1 Ice surface [NEIC/NOAA] | +# # | "@earth\\_relief\\_02m" | 2 arc min | ETOPO2v2 Ice surface [NEIC/NOAA] | +# # | "@earth\\_relief\\_03m" | 3 arc min | ETOPO1 after Gaussian spherical filtering (5.6 km fullwidth)| +# # | "@earth\\_relief\\_04m" | 4 arc min | ETOPO1 after Gaussian spherical filtering (7.5 km fullwidth)| +# # | "@earth\\_relief\\_05m" | 5 arc min | ETOPO1 after Gaussian spherical filtering (9 km fullwidth) | +# # | "@earth\\_relief\\_06m" | 6 arc min | ETOPO1 after Gaussia30n spherical filtering (10 km fullwidth)| +# # | "@earth\\_relief\\_10m" | 10 arc min | ETOPO1 after Gaussian spherical filtering (18 km fullwidth) | +# # | "@earth\\_relief\\_15m" | 20 arc min | ETOPO1 after Gaussian spherical filtering (28 km fullwidth) | +# # | "@earth\\_relief\\_20m" | 20 arc min | ETOPO1 after Gaussian spherical filtering (37 km fullwidth) | +# # | "@earth\\_relief\\_30m" | 30 arc min | ETOPO1 after Gaussian spherical filtering (55 km fullwidth) | +# # | "@earth\\_relief\\_60m" | 60 arc min | ETOPO1 after Gaussian spherical filtering (111 km fullwidth)| + +""" +function geo_topo_impression(; + resolution::String, + lon_min::Float64, + lon_max::Float64, + lat_min::Float64, + lat_max::Float64, +) + + # Specify the limits of the topography data based on the coordinates + lon_mean = (lon_max + lon_min) / 2 + lat_mean = (lat_min + lat_max) / 2 + + # Loading the topography data + Topo = + import_topo(lon = [lon_min, lon_max], lat = [lat_min, lat_max], file = resolution) # here we load the topography data + + p = ProjectionPoint(Lon = lon_mean, Lat = lat_mean) # to use cartesian coordinates we choose a projection point here + + Topo_Cart = convert2CartData(Topo, p) # here we use the projection point to convert the topography data to cartesian coordinates + + return Topo, p, Topo_Cart +end + +""" + create_topography_data(; low_x::Float64, high_x::Float64, gridsize_x::Float64, + low_y::Float64, high_y::Float64, gridzize_y::Float64, + write_path::String, dataname::String, Topo, p) + +Function to create a structured grid of topography data and project it onto cartesian coordinates. +Takes the output from `geo_topo_impression()` and creates a regular grid for further processing. + +# Arguments +- `low_x`: Minimum x-coordinate for the grid [km] +- `high_x`: Maximum x-coordinate for the grid [km] +- `gridsize_x`: Grid spacing in x-direction [km] +- `low_y`: Minimum y-coordinate for the grid [km] +- `high_y`: Maximum y-coordinate for the grid [km] +- `gridzize_y`: Grid spacing in y-direction [km] +- `write_path`: Directory path where the output file should be saved +- `dataname`: Name of the output file +- `Topo`: Topography data from GeophysicalModelGenerator (output from geo_topo_impression) +- `p`: Projection point for coordinate transformation (output from geo_topo_impression) + +# Returns +- `df_xyz`: DataFrame containing the projected coordinates and elevation (in meters) +- `Topo_Cart_orth`: CartData object containing the projected topography data + +# Notes +- All distance inputs (low_x, high_x, etc.) should be in kilometers +- The output DataFrame and saved file will contain coordinates in meters +- The output file format is space-separated with columns: x y z +""" +function create_topography_data(; + low_x::Float64, + high_x::Float64, + gridsize_x::Float64, + low_y::Float64, + high_y::Float64, + gridsize_y::Float64, + write_path::String, + dataname::String, + Topo, + p, +) + values_x = collect(low_x:gridsize_x:high_x) + values_y = collect(low_y:gridsize_y:high_y) + + Topo_Cart_orth = CartData(xyz_grid(values_x, values_y, 0)) # create a grid with the desired gridpoints + + Topo_Cart_orth = project_CartData(Topo_Cart_orth, Topo, p) # project the topography data on the cartasian grid + + # combine x, y, z into a DataFrame, warning: you have to scale the values to meters + df_xyz = DataFrame( + x = convert.(Float64, vec(Topo_Cart_orth.x.val[:, :, 1])) .* 1000, + y = convert.(Float64, vec(Topo_Cart_orth.y.val[:, :, 1])) .* 1000, + z = convert.(Float64, vec(Topo_Cart_orth.z.val[:, :, 1])) .* 1000, + ) + + data_dir = write_path + + # Write the data to a file and save it in the specified directory with the specified name + output_file = joinpath(data_dir, dataname) + open(output_file, "w") do file + for row in eachrow(df_xyz) + rounded_row = [round(value, digits = 5) for value in row] + println(file, join(rounded_row, " ")) + end + end + return df_xyz, Topo_Cart_orth +end +end diff --git a/ext/TrixiBottomTopographyMakieExt.jl b/ext/TrixiBottomTopographyMakieExt.jl index d3c017e8..9fc5663b 100644 --- a/ext/TrixiBottomTopographyMakieExt.jl +++ b/ext/TrixiBottomTopographyMakieExt.jl @@ -8,8 +8,10 @@ using Makie: Makie using TrixiBottomTopography # Import functions such that they can be extended with new methods -import TrixiBottomTopography: evaluate_bicubicspline_interpolant, plot_topography, - plot_topography_with_interpolation_knots +import TrixiBottomTopography: + evaluate_bicubicspline_interpolant, + plot_topography, + plot_topography_with_interpolation_knots """ evaluate_bicubicspline_interpolant(spline, x, y) @@ -28,7 +30,7 @@ function evaluate_bicubicspline_interpolant(spline, x, y) z = zeros(n, m) # Evaluate spline function at given x, y values - for i in 1:n, j in 1:m + for i = 1:n, j = 1:m z[j, i] = spline(x[i], y[j]) end @@ -68,18 +70,32 @@ Axis labels can be prescribed with `xlabel`, `ylabel`, and `zlabel`. The default `color` for the interpolated bottom topography is light blue. The `legend_position` controls the placement of the legend. """ -function plot_topography_with_interpolation_knots(x, y, x_knots, y_knots; - xlabel = "", ylabel = "", - color = Makie.wong_colors(2)[5], - legend_position = :rt) +function plot_topography_with_interpolation_knots( + x, + y, + x_knots, + y_knots; + xlabel = "", + ylabel = "", + color = Makie.wong_colors(2)[5], + legend_position = :rt, +) fig = Makie.Figure() ax = Makie.Axis(fig[1, 1], xlabel = xlabel, ylabel = ylabel) # Approximate topography with a line Makie.lines!(ax, x, y, color = color, label = "Bottom topography") # Interpolation knots as orange dots - Makie.scatter!(ax, x_knots, y_knots, color = :orange, strokewidth = 1, - strokecolor = (:black, 0.5), markersize = 5, label = "Knots") + Makie.scatter!( + ax, + x_knots, + y_knots, + color = :orange, + strokewidth = 1, + strokecolor = (:black, 0.5), + markersize = 5, + label = "Knots", + ) # Create the legend Makie.axislegend(ax, position = legend_position) # Show the figure @@ -103,16 +119,33 @@ or `:gist_earth`. The left / right camera angle is controlled by `azimuth_angle` whereas the up / down camera angle is controlled by `elevation_angle`. Both angle arguments must be given in radians. """ -function plot_topography(x, y, z; xlabel = "", ylabel = "", zlabel = "", - colormap = default_Makie_colormap(), - azimuth_angle = 1.275 * pi, elevation_angle = pi / 8) +function plot_topography( + x, + y, + z; + xlabel = "", + ylabel = "", + zlabel = "", + colormap = default_Makie_colormap(), + azimuth_angle = 1.275 * pi, + elevation_angle = pi / 8, +) # Generic plot function for 2D bottom topography data - Makie.surface(x, y, z, - axis = (type = Makie.Axis3, - xlabel = xlabel, ylabel = ylabel, zlabel = zlabel, - azimuth = azimuth_angle, elevation = elevation_angle), - colormap = colormap) + Makie.surface( + x, + y, + z, + axis = ( + type = Makie.Axis3, + xlabel = xlabel, + ylabel = ylabel, + zlabel = zlabel, + azimuth = azimuth_angle, + elevation = elevation_angle, + ), + colormap = colormap, + ) end """ @@ -135,21 +168,45 @@ The `legend_position` controls the placement of the legend. The left / right camera angle is controlled by `azimuth_angle` whereas the up / down camera angle is controlled by `elevation_angle`. Both angle arguments must be given in radians. """ -function plot_topography_with_interpolation_knots(x, y, z, x_knots, y_knots, z_knots; - xlabel = "", ylabel = "", zlabel = "", - colormap = default_Makie_colormap(), - legend_position = :rt, - azimuth_angle = 1.275 * pi, - elevation_angle = pi / 8) +function plot_topography_with_interpolation_knots( + x, + y, + z, + x_knots, + y_knots, + z_knots; + xlabel = "", + ylabel = "", + zlabel = "", + colormap = default_Makie_colormap(), + legend_position = :rt, + azimuth_angle = 1.275 * pi, + elevation_angle = pi / 8, +) fig = Makie.Figure() - ax = Makie.Axis3(fig[1, 1], xlabel = xlabel, ylabel = ylabel, zlabel = zlabel, - azimuth = azimuth_angle, elevation = elevation_angle) + ax = Makie.Axis3( + fig[1, 1], + xlabel = xlabel, + ylabel = ylabel, + zlabel = zlabel, + azimuth = azimuth_angle, + elevation = elevation_angle, + ) # Approximate topography with a line Makie.surface!(ax, x, y, z, colormap = colormap, label = "Bottom topography") # Interpolation knots as orange dots - Makie.scatter!(ax, x_knots, y_knots, z_knots, color = :orange, strokewidth = 1, - strokecolor = (:black, 0.5), markersize = 5, label = "Knots") + Makie.scatter!( + ax, + x_knots, + y_knots, + z_knots, + color = :orange, + strokewidth = 1, + strokecolor = (:black, 0.5), + markersize = 5, + label = "Knots", + ) # Create the legend Makie.axislegend(ax, position = legend_position) # Show the figure diff --git a/src/1D/spline_cache_1D.jl b/src/1D/spline_cache_1D.jl index b40e3013..237299f0 100644 --- a/src/1D/spline_cache_1D.jl +++ b/src/1D/spline_cache_1D.jl @@ -18,7 +18,7 @@ These attributes are: - `Q`: Vector which contains the control points - `IP`: Coefficients matrix """ -mutable struct LinearBSpline{x_type, Delta_type, Q_type, IP_type} +mutable struct LinearBSpline{x_type,Delta_type,Q_type,IP_type} x::x_type Delta::Delta_type Q::Q_type @@ -62,7 +62,9 @@ A reference for the calculations in this script can be found in Chapter 1 of """ function LinearBSpline(x::Vector, y::Vector) if length(x) != length(y) - throw(DimensionMismatch("Vectors x and y have to contain the same number of values")) + throw( + DimensionMismatch("Vectors x and y have to contain the same number of values"), + ) end if length(x) == 1 @@ -74,8 +76,10 @@ function LinearBSpline(x::Vector, y::Vector) Delta = x[2] - x[1] - IP = @SMatrix [-1 1; - 1 0] + IP = @SMatrix [ + -1 1 + 1 0 + ] Q = y @@ -108,8 +112,8 @@ function LinearBSpline(path::String) close(file) num_elements = parse(Int64, lines[2]) - x = [parse(Float64, val) for val in lines[4:(3 + num_elements)]] - y = [parse(Float64, val) for val in lines[(5 + num_elements):end]] + x = [parse(Float64, val) for val in lines[4:(3+num_elements)]] + y = [parse(Float64, val) for val in lines[(5+num_elements):end]] LinearBSpline(x, y) end @@ -133,7 +137,7 @@ These attributes are: - `Q`: Vector which contains the Control points - `IP`: Coefficients matrix """ -mutable struct CubicBSpline{x_type, Delta_type, Q_type, IP_type} +mutable struct CubicBSpline{x_type,Delta_type,Q_type,IP_type} x::x_type Delta::Delta_type Q::Q_type @@ -256,10 +260,12 @@ function CubicBSpline(x::Vector, y::Vector; end_condition = "free", smoothing_fa n = length(x) P = vcat(0, y, 0) - IP = @SMatrix [-1 3 -3 1; - 3 -6 3 0; - -3 0 3 0; - 1 4 1 0] + IP = @SMatrix [ + -1 3 -3 1 + 3 -6 3 0 + -3 0 3 0 + 1 4 1 0 + ] # Free end condition if end_condition == "free" @@ -269,7 +275,7 @@ function CubicBSpline(x::Vector, y::Vector; end_condition = "free", smoothing_fa Phi = Matrix(Tridiagonal(dl, dm, du)) Phi[1, 3] = 1 - Phi[end, end - 2] = 1 + Phi[end, end-2] = 1 Phi_free = sparse(Phi) Q_free = 6 * (Phi_free \ P) @@ -289,7 +295,7 @@ function CubicBSpline(x::Vector, y::Vector; end_condition = "free", smoothing_fa Phi = Matrix(Tridiagonal(dl, dm, du)) Phi[1, 3:5] = [-6 4 -1] - Phi[end, (end - 4):(end - 2)] = [-1 4 -6] + Phi[end, (end-4):(end-2)] = [-1 4 -6] Phi_knot = sparse(Phi) Q_knot = 6 * (Phi_knot \ P) @@ -332,8 +338,8 @@ function CubicBSpline(path::String; end_condition = "free", smoothing_factor = 0 close(file) num_elements = parse(Int64, lines[2]) - x = [parse(Float64, val) for val in lines[4:(3 + num_elements)]] - y = [parse(Float64, val) for val in lines[(5 + num_elements):end]] + x = [parse(Float64, val) for val in lines[4:(3+num_elements)]] + y = [parse(Float64, val) for val in lines[(5+num_elements):end]] CubicBSpline(x, y; end_condition = end_condition, smoothing_factor = smoothing_factor) end diff --git a/src/1D/spline_methods_1D.jl b/src/1D/spline_methods_1D.jl index a2209f7f..042e2eb2 100644 --- a/src/1D/spline_methods_1D.jl +++ b/src/1D/spline_methods_1D.jl @@ -54,7 +54,7 @@ function spline_interpolation(b_spline::LinearBSpline, x::Number) # Note, IP has already been constructed as an `SMatrix` # in the `LinearBSpline` constructor kappa_vec = @SVector [kappa_i, 1] - Q_slice = @SVector [Q[i], Q[i + 1]] + Q_slice = @SVector [Q[i], Q[i+1]] c_i1 = kappa_vec' * IP * Q_slice @@ -115,7 +115,7 @@ function spline_interpolation(b_spline::CubicBSpline, x::Number) # Note, IP has already been constructed as an `SMatrix` # in the `CubicBSpline` constructor kappa_vec = @SVector [kappa_i^3, kappa_i^2, kappa_i, 1] - Q_slice = @SVector [Q[i], Q[i + 1], Q[i + 2], Q[i + 3]] + Q_slice = @SVector [Q[i], Q[i+1], Q[i+2], Q[i+3]] c_i3 = (1 / 6) * (kappa_vec' * IP * Q_slice) diff --git a/src/1D/spline_utils_1D.jl b/src/1D/spline_utils_1D.jl index a4c01f2f..b1204263 100644 --- a/src/1D/spline_utils_1D.jl +++ b/src/1D/spline_utils_1D.jl @@ -79,11 +79,11 @@ function spline_smoothing(lambda::Number, Delta::Number, y::Vector) Delta_2_iip2 = 1 ./ Delta_vec Delta_2 = zeros(n - 2, n) - Delta_2[:, 1:(n - 2)] = diagm(Delta_2_ii) - Delta_2[:, 2:(n - 1)] += diagm(Delta_2_iip1) + Delta_2[:, 1:(n-2)] = diagm(Delta_2_ii) + Delta_2[:, 2:(n-1)] += diagm(Delta_2_iip1) Delta_2[:, 3:n] += diagm(Delta_2_iip2) - W_im1i = Delta_vec[1:(end - 1)] ./ 6 + W_im1i = Delta_vec[1:(end-1)] ./ 6 W_ii = (2 * Delta_vec) ./ 3 W = SymTridiagonal(W_ii, W_im1i) diff --git a/src/2D/spline_cache_2D.jl b/src/2D/spline_cache_2D.jl index 2a370400..64346b67 100644 --- a/src/2D/spline_cache_2D.jl +++ b/src/2D/spline_cache_2D.jl @@ -19,7 +19,7 @@ These attributes are: - `Q`: Matrix which contains the control points - `IP`: Coefficients matrix """ -mutable struct BilinearBSpline{x_type, y_type, Delta_type, Q_type, IP_type} +mutable struct BilinearBSpline{x_type,y_type,Delta_type,Q_type,IP_type} x::x_type y::y_type Delta::Delta_type @@ -97,8 +97,10 @@ function BilinearBSpline(x::Vector, y::Vector, z::Matrix) Delta = x[2] - x[1] P = vcat(reshape(z', (m * n, 1))) - IP = @SMatrix [-1 1; - 1 0] + IP = @SMatrix [ + -1 1 + 1 0 + ] Q = reshape(P, (n, m)) @@ -137,9 +139,9 @@ function BilinearBSpline(path::String) n = parse(Int64, lines[2]) m = parse(Int64, lines[4]) - x = [parse(Float64, val) for val in lines[6:(5 + n)]] - y = [parse(Float64, val) for val in lines[(7 + n):(6 + n + m)]] - z_tmp = [parse(Float64, val) for val in lines[(8 + n + m):end]] + x = [parse(Float64, val) for val in lines[6:(5+n)]] + y = [parse(Float64, val) for val in lines[(7+n):(6+n+m)]] + z_tmp = [parse(Float64, val) for val in lines[(8+n+m):end]] z = transpose(reshape(z_tmp, (n, m))) @@ -166,7 +168,7 @@ These attributes are: - `Q`: Matrix which contains the control points - `IP`: Coefficients matrix """ -mutable struct BicubicBSpline{x_type, y_type, Delta_type, Q_type, IP_type} +mutable struct BicubicBSpline{x_type,y_type,Delta_type,Q_type,IP_type} x::x_type y::y_type Delta::Delta_type @@ -279,8 +281,13 @@ A reference for the calculations in this script can be found in Chapter 2 of Cubic and bicubic spline interpolation in Python. [hal-03017566v2](https://hal.archives-ouvertes.fr/hal-03017566v2) """ -function BicubicBSpline(x::Vector, y::Vector, z::Matrix; end_condition = "free", - smoothing_factor = 0.0) +function BicubicBSpline( + x::Vector, + y::Vector, + z::Matrix; + end_condition = "free", + smoothing_factor = 0.0, +) n = length(x) m = length(y) @@ -300,26 +307,28 @@ function BicubicBSpline(x::Vector, y::Vector, z::Matrix; end_condition = "free", inner_elmts = m * n P = vcat(reshape(z', (inner_elmts, 1)), zeros(boundary_elmts)) - IP = @SMatrix [-1 3 -3 1; - 3 -6 3 0; - -3 0 3 0; - 1 4 1 0] + IP = @SMatrix [ + -1 3 -3 1 + 3 -6 3 0 + -3 0 3 0 + 1 4 1 0 + ] # Mapping matrix Phi Phi = spzeros((m + 2) * (n + 2), (m + 2) * (n + 2)) # Fill inner control point matrix idx = 0 - for i in 1:inner_elmts - Phi[i, idx + 1] = 1 - Phi[i, idx + 2] = 4 - Phi[i, idx + 3] = 1 - Phi[i, idx + (n + 2) + 1] = 4 - Phi[i, idx + (n + 2) + 2] = 16 - Phi[i, idx + (n + 2) + 3] = 4 - Phi[i, idx + 2 * (n + 2) + 1] = 1 - Phi[i, idx + 2 * (n + 2) + 2] = 4 - Phi[i, idx + 2 * (n + 2) + 3] = 1 + for i = 1:inner_elmts + Phi[i, idx+1] = 1 + Phi[i, idx+2] = 4 + Phi[i, idx+3] = 1 + Phi[i, idx+(n+2)+1] = 4 + Phi[i, idx+(n+2)+2] = 16 + Phi[i, idx+(n+2)+3] = 4 + Phi[i, idx+2*(n+2)+1] = 1 + Phi[i, idx+2*(n+2)+2] = 4 + Phi[i, idx+2*(n+2)+3] = 1 if (i % n) == 0 idx += 3 @@ -340,37 +349,37 @@ function BicubicBSpline(x::Vector, y::Vector, z::Matrix; end_condition = "free", # Q_{j,1} - 2Q_{j,2} + Q_{j,3} = 0 idx = 0 - for i in (inner_elmts + 1):(inner_elmts + m) - Phi[i, idx + (n + 2) + 1] = 1 - Phi[i, idx + (n + 2) + 2] = -2 - Phi[i, idx + (n + 2) + 3] = 1 + for i = (inner_elmts+1):(inner_elmts+m) + Phi[i, idx+(n+2)+1] = 1 + Phi[i, idx+(n+2)+2] = -2 + Phi[i, idx+(n+2)+3] = 1 idx += (n + 2) end # Q_{j,n} - 2Q_{j,n+1} + Q_{j,n+2} = 0 idx = 0 - for i in (inner_elmts + (m + 1)):(inner_elmts + (2 * m)) - Phi[i, idx + (n + 2) + (n)] = 1 - Phi[i, idx + (n + 2) + (n + 1)] = -2 - Phi[i, idx + (n + 2) + (n + 2)] = 1 + for i = (inner_elmts+(m+1)):(inner_elmts+(2*m)) + Phi[i, idx+(n+2)+(n)] = 1 + Phi[i, idx+(n+2)+(n+1)] = -2 + Phi[i, idx+(n+2)+(n+2)] = 1 idx += (n + 2) end # Q_{1,i} - 2Q_{2,i} + Q_{3,i} = 0 idx = 0 - for i in (inner_elmts + (2 * m) + 1):(inner_elmts + (2 * m) + n) - Phi[i, idx + 2] = 1 - Phi[i, idx + (n + 2) + 2] = -2 - Phi[i, idx + 2 * (n + 2) + 2] = 1 + for i = (inner_elmts+(2*m)+1):(inner_elmts+(2*m)+n) + Phi[i, idx+2] = 1 + Phi[i, idx+(n+2)+2] = -2 + Phi[i, idx+2*(n+2)+2] = 1 idx += 1 end # Q_{m,i} - 2Q_{m+1,i} + Q_{m+2,i} = 0 idx = (m - 1) * (n + 2) - for i in (inner_elmts + (2 * m) + (n + 1)):(inner_elmts + (2 * m) + (2 * n)) - Phi[i, idx + 2] = 1 - Phi[i, idx + (n + 2) + 2] = -2 - Phi[i, idx + 2 * (n + 2) + 2] = 1 + for i = (inner_elmts+(2*m)+(n+1)):(inner_elmts+(2*m)+(2*n)) + Phi[i, idx+2] = 1 + Phi[i, idx+(n+2)+2] = -2 + Phi[i, idx+2*(n+2)+2] = 1 idx += 1 end @@ -378,23 +387,23 @@ function BicubicBSpline(x::Vector, y::Vector, z::Matrix; end_condition = "free", # Q_{1,1} - 2Q_{2,2} + Q_{3,3} = 0 Phi[(i), 1] = 1 - Phi[(i), (n + 2) + 2] = -2 - Phi[(i), (2) * (n + 2) + 3] = 1 + Phi[(i), (n+2)+2] = -2 + Phi[(i), (2)*(n+2)+3] = 1 # Q_{m+2,1} - 2Q_{m+1,2} + Q_{m,3} = 0 - Phi[(i + 1), (n + 2)] = 1 - Phi[(i + 1), (2) * (n + 2) - 1] = -2 - Phi[(i + 1), (3) * (n + 2) - 2] = 1 + Phi[(i+1), (n+2)] = 1 + Phi[(i+1), (2)*(n+2)-1] = -2 + Phi[(i+1), (3)*(n+2)-2] = 1 # Q_{1,n+2} - 2Q_{2,n+1} + Q_{3,n} = 0 - Phi[(i + 2), (m - 1) * (n + 2) + 3] = 1 - Phi[(i + 2), (m) * (n + 2) + 2] = -2 - Phi[(i + 2), (m + 1) * (n + 2) + 1] = 1 + Phi[(i+2), (m-1)*(n+2)+3] = 1 + Phi[(i+2), (m)*(n+2)+2] = -2 + Phi[(i+2), (m+1)*(n+2)+1] = 1 # Q_{m,n} - 2Q_{m+1,n+1} + Q_{m+2,n+2} = 0 - Phi[(i + 3), (m) * (n + 2) - 2] = 1 - Phi[(i + 3), (m + 1) * (n + 2) - 1] = -2 - Phi[(i + 3), (m + 2) * (n + 2)] = 1 + Phi[(i+3), (m)*(n+2)-2] = 1 + Phi[(i+3), (m+1)*(n+2)-1] = -2 + Phi[(i+3), (m+2)*(n+2)] = 1 # For the sparse matrix `Phi` using the built-in `qr` function # is more numerically stable than the standard `LDLt` procedure @@ -416,85 +425,85 @@ function BicubicBSpline(x::Vector, y::Vector, z::Matrix; end_condition = "free", # Continuity of the third `x` derivative between the leftmost and second leftmost patch idx = 0 - for i in (inner_elmts + 1):(inner_elmts + m) - Phi[i, idx + 1] = -1 - Phi[i, idx + 2] = 4 - Phi[i, idx + 3] = -6 - Phi[i, idx + 4] = 4 - Phi[i, idx + 5] = -1 - Phi[i, idx + (n + 2) + 1] = -4 - Phi[i, idx + (n + 2) + 2] = 16 - Phi[i, idx + (n + 2) + 3] = -24 - Phi[i, idx + (n + 2) + 4] = 16 - Phi[i, idx + (n + 2) + 5] = -4 - Phi[i, idx + 2 * (n + 2) + 1] = -1 - Phi[i, idx + 2 * (n + 2) + 2] = 4 - Phi[i, idx + 2 * (n + 2) + 3] = -6 - Phi[i, idx + 2 * (n + 2) + 4] = 4 - Phi[i, idx + 2 * (n + 2) + 5] = -1 + for i = (inner_elmts+1):(inner_elmts+m) + Phi[i, idx+1] = -1 + Phi[i, idx+2] = 4 + Phi[i, idx+3] = -6 + Phi[i, idx+4] = 4 + Phi[i, idx+5] = -1 + Phi[i, idx+(n+2)+1] = -4 + Phi[i, idx+(n+2)+2] = 16 + Phi[i, idx+(n+2)+3] = -24 + Phi[i, idx+(n+2)+4] = 16 + Phi[i, idx+(n+2)+5] = -4 + Phi[i, idx+2*(n+2)+1] = -1 + Phi[i, idx+2*(n+2)+2] = 4 + Phi[i, idx+2*(n+2)+3] = -6 + Phi[i, idx+2*(n+2)+4] = 4 + Phi[i, idx+2*(n+2)+5] = -1 idx += (n + 2) end # Continuity of the third `x` derivative between the rightmost and second rightmost patch idx = (n + 2) + 1 - for i in (inner_elmts + (m + 1)):(inner_elmts + (2 * m)) - Phi[i, idx - 5] = -1 - Phi[i, idx - 4] = 4 - Phi[i, idx - 3] = -6 - Phi[i, idx - 2] = 4 - Phi[i, idx - 1] = -1 - Phi[i, idx + (n + 2) - 5] = -4 - Phi[i, idx + (n + 2) - 4] = 16 - Phi[i, idx + (n + 2) - 3] = -24 - Phi[i, idx + (n + 2) - 2] = 16 - Phi[i, idx + (n + 2) - 1] = -4 - Phi[i, idx + 2 * (n + 2) - 5] = -1 - Phi[i, idx + 2 * (n + 2) - 4] = 4 - Phi[i, idx + 2 * (n + 2) - 3] = -6 - Phi[i, idx + 2 * (n + 2) - 2] = 4 - Phi[i, idx + 2 * (n + 2) - 1] = -1 + for i = (inner_elmts+(m+1)):(inner_elmts+(2*m)) + Phi[i, idx-5] = -1 + Phi[i, idx-4] = 4 + Phi[i, idx-3] = -6 + Phi[i, idx-2] = 4 + Phi[i, idx-1] = -1 + Phi[i, idx+(n+2)-5] = -4 + Phi[i, idx+(n+2)-4] = 16 + Phi[i, idx+(n+2)-3] = -24 + Phi[i, idx+(n+2)-2] = 16 + Phi[i, idx+(n+2)-1] = -4 + Phi[i, idx+2*(n+2)-5] = -1 + Phi[i, idx+2*(n+2)-4] = 4 + Phi[i, idx+2*(n+2)-3] = -6 + Phi[i, idx+2*(n+2)-2] = 4 + Phi[i, idx+2*(n+2)-1] = -1 idx += (n + 2) end # Continuity of the third `y` derivative between the patch at the top and the patch below idx = 0 - for i in (inner_elmts + (2 * m) + 1):(inner_elmts + (2 * m) + n) - Phi[i, idx + 1] = -1 - Phi[i, idx + 2] = -4 - Phi[i, idx + 3] = -1 - Phi[i, idx + (n + 2) + 1] = 4 - Phi[i, idx + (n + 2) + 2] = 16 - Phi[i, idx + (n + 2) + 3] = 4 - Phi[i, idx + 2 * (n + 2) + 1] = -6 - Phi[i, idx + 2 * (n + 2) + 2] = -24 - Phi[i, idx + 2 * (n + 2) + 3] = -6 - Phi[i, idx + 3 * (n + 2) + 1] = 4 - Phi[i, idx + 3 * (n + 2) + 2] = 16 - Phi[i, idx + 3 * (n + 2) + 3] = 4 - Phi[i, idx + 4 * (n + 2) + 1] = -1 - Phi[i, idx + 4 * (n + 2) + 2] = -4 - Phi[i, idx + 4 * (n + 2) + 3] = -1 + for i = (inner_elmts+(2*m)+1):(inner_elmts+(2*m)+n) + Phi[i, idx+1] = -1 + Phi[i, idx+2] = -4 + Phi[i, idx+3] = -1 + Phi[i, idx+(n+2)+1] = 4 + Phi[i, idx+(n+2)+2] = 16 + Phi[i, idx+(n+2)+3] = 4 + Phi[i, idx+2*(n+2)+1] = -6 + Phi[i, idx+2*(n+2)+2] = -24 + Phi[i, idx+2*(n+2)+3] = -6 + Phi[i, idx+3*(n+2)+1] = 4 + Phi[i, idx+3*(n+2)+2] = 16 + Phi[i, idx+3*(n+2)+3] = 4 + Phi[i, idx+4*(n+2)+1] = -1 + Phi[i, idx+4*(n+2)+2] = -4 + Phi[i, idx+4*(n+2)+3] = -1 idx += 1 end # Continuity of the third `y` derivative between the patch at the bottom and the patch above idx = (m - 3) * (n + 2) - for i in (inner_elmts + (2 * m) + (n + 1)):(inner_elmts + (2 * m) + (2 * n)) - Phi[i, idx + 1] = -1 - Phi[i, idx + 2] = -4 - Phi[i, idx + 3] = -1 - Phi[i, idx + (n + 2) + 1] = 4 - Phi[i, idx + (n + 2) + 2] = 16 - Phi[i, idx + (n + 2) + 3] = 4 - Phi[i, idx + 2 * (n + 2) + 1] = -6 - Phi[i, idx + 2 * (n + 2) + 2] = -24 - Phi[i, idx + 2 * (n + 2) + 3] = -6 - Phi[i, idx + 3 * (n + 2) + 1] = 4 - Phi[i, idx + 3 * (n + 2) + 2] = 16 - Phi[i, idx + 3 * (n + 2) + 3] = 4 - Phi[i, idx + 4 * (n + 2) + 1] = -1 - Phi[i, idx + 4 * (n + 2) + 2] = -4 - Phi[i, idx + 4 * (n + 2) + 3] = -1 + for i = (inner_elmts+(2*m)+(n+1)):(inner_elmts+(2*m)+(2*n)) + Phi[i, idx+1] = -1 + Phi[i, idx+2] = -4 + Phi[i, idx+3] = -1 + Phi[i, idx+(n+2)+1] = 4 + Phi[i, idx+(n+2)+2] = 16 + Phi[i, idx+(n+2)+3] = 4 + Phi[i, idx+2*(n+2)+1] = -6 + Phi[i, idx+2*(n+2)+2] = -24 + Phi[i, idx+2*(n+2)+3] = -6 + Phi[i, idx+3*(n+2)+1] = 4 + Phi[i, idx+3*(n+2)+2] = 16 + Phi[i, idx+3*(n+2)+3] = 4 + Phi[i, idx+4*(n+2)+1] = -1 + Phi[i, idx+4*(n+2)+2] = -4 + Phi[i, idx+4*(n+2)+3] = -1 idx += 1 end @@ -503,26 +512,26 @@ function BicubicBSpline(x::Vector, y::Vector, z::Matrix; end_condition = "free", # Q_{1,1} - Q_{1,2} - Q_{2,1} + Q_{2,2} = 0 Phi[(i), 1] = 1 Phi[(i), 2] = -1 - Phi[(i), (n + 2) + 1] = -1 - Phi[(i), (n + 2) + 2] = 1 + Phi[(i), (n+2)+1] = -1 + Phi[(i), (n+2)+2] = 1 # Q_{m-1,1} + Q_{m,1} + Q_{m-1,2} - Q_{m,2} = 0 - Phi[(i + 1), (n + 2) - 1] = -1 - Phi[(i + 1), (n + 2)] = 1 - Phi[(i + 1), 2 * (n + 2) - 1] = 1 - Phi[(i + 1), 2 * (n + 2)] = -1 + Phi[(i+1), (n+2)-1] = -1 + Phi[(i+1), (n+2)] = 1 + Phi[(i+1), 2*(n+2)-1] = 1 + Phi[(i+1), 2*(n+2)] = -1 # Q_{1,n-1} + Q_{2,n} + Q_{1,n-1} - Q_{2,n} = 0 - Phi[(i + 2), (m) * (n + 2) + 1] = -1 - Phi[(i + 2), (m) * (n + 2) + 2] = 1 - Phi[(i + 2), (m + 1) * (n + 2) + 1] = 1 - Phi[(i + 2), (m + 1) * (n + 2) + 2] = -1 + Phi[(i+2), (m)*(n+2)+1] = -1 + Phi[(i+2), (m)*(n+2)+2] = 1 + Phi[(i+2), (m+1)*(n+2)+1] = 1 + Phi[(i+2), (m+1)*(n+2)+2] = -1 # Q_{m-1,n-1} - Q_{m,n-1} - Q_{m-1,n} + Q_{m,n} = 0 - Phi[(i + 3), (m + 1) * (n + 2) - 1] = 1 - Phi[(i + 3), (m + 1) * (n + 2)] = -1 - Phi[(i + 3), (m + 2) * (n + 2) - 1] = -1 - Phi[(i + 3), (m + 2) * (n + 2)] = 1 + Phi[(i+3), (m+1)*(n+2)-1] = 1 + Phi[(i+3), (m+1)*(n+2)] = -1 + Phi[(i+3), (m+2)*(n+2)-1] = -1 + Phi[(i+3), (m+2)*(n+2)] = 1 # For the sparse matrix `Phi` using the built-in `qr` function # is more numerically stable than the standard `LDLt` procedure @@ -574,12 +583,17 @@ function BicubicBSpline(path::String; end_condition = "free", smoothing_factor = n = parse(Int64, lines[2]) m = parse(Int64, lines[4]) - x = [parse(Float64, val) for val in lines[6:(5 + n)]] - y = [parse(Float64, val) for val in lines[(7 + n):(6 + n + m)]] - z_tmp = [parse(Float64, val) for val in lines[(8 + n + m):end]] + x = [parse(Float64, val) for val in lines[6:(5+n)]] + y = [parse(Float64, val) for val in lines[(7+n):(6+n+m)]] + z_tmp = [parse(Float64, val) for val in lines[(8+n+m):end]] z = transpose(reshape(z_tmp, (n, m))) - BicubicBSpline(x, y, Matrix(z); end_condition = end_condition, - smoothing_factor = smoothing_factor) + BicubicBSpline( + x, + y, + Matrix(z); + end_condition = end_condition, + smoothing_factor = smoothing_factor, + ) end diff --git a/src/2D/spline_methods_2D.jl b/src/2D/spline_methods_2D.jl index 03e78f9f..cadf0290 100644 --- a/src/2D/spline_methods_2D.jl +++ b/src/2D/spline_methods_2D.jl @@ -55,8 +55,10 @@ function spline_interpolation(b_spline::BilinearBSpline, x::Number, y::Number) # in the `BilinearBSpline` constructor ny_vec = @SVector [ny, 1] my_vec = @SVector [my, 1] - Q_temp = @SMatrix [Q[i, j] Q[i + 1, j]; - Q[i, j + 1] Q[i + 1, j + 1]] + Q_temp = @SMatrix [ + Q[i, j] Q[i+1, j] + Q[i, j+1] Q[i+1, j+1] + ] c = ny_vec' * IP * Q_temp * IP' * my_vec @@ -130,10 +132,12 @@ function spline_interpolation(b_spline::BicubicBSpline, x::Number, y::Number) # in the `BicubicBSpline` constructor ny_vec = @SVector [ny^3, ny^2, ny, 1] my_vec = @SVector [my^3, my^2, my, 1] - Q_temp = @SMatrix [Q[i, j] Q[i + 1, j] Q[i + 2, j] Q[i + 3, j]; - Q[i, j + 1] Q[i + 1, j + 1] Q[i + 2, j + 1] Q[i + 3, j + 1]; - Q[i, j + 2] Q[i + 1, j + 2] Q[i + 2, j + 2] Q[i + 3, j + 2]; - Q[i, j + 3] Q[i + 1, j + 3] Q[i + 2, j + 3] Q[i + 3, j + 3]] + Q_temp = @SMatrix [ + Q[i, j] Q[i+1, j] Q[i+2, j] Q[i+3, j] + Q[i, j+1] Q[i+1, j+1] Q[i+2, j+1] Q[i+3, j+1] + Q[i, j+2] Q[i+1, j+2] Q[i+2, j+2] Q[i+3, j+2] + Q[i, j+3] Q[i+1, j+3] Q[i+2, j+3] Q[i+3, j+3] + ] c = (1 / 36) * (ny_vec' * IP * Q_temp * IP' * my_vec) diff --git a/src/2D/spline_utils_2D.jl b/src/2D/spline_utils_2D.jl index 4b28ce1b..20483adf 100644 --- a/src/2D/spline_utils_2D.jl +++ b/src/2D/spline_utils_2D.jl @@ -168,8 +168,8 @@ function calc_tps(lambda::Number, x::Vector, y::Vector, z::Matrix) z_smth = zeros(p, 1) # Fill K part of matrix L - for i in 1:p - for j in (i + 1):p + for i = 1:p + for j = (i+1):p p_i = [x_hat[i], y_hat[i]] p_j = [x_hat[j], y_hat[j]] U = tps_base_func(norm(p_i .- p_j)) @@ -181,13 +181,13 @@ function calc_tps(lambda::Number, x::Vector, y::Vector, z::Matrix) # Fill rest of matrix L L[1:p, 1:p] = L[1:p, 1:p] + lambda * diagm(ones(p)) - L[1:p, p + 1] = ones(p) - L[1:p, p + 2] = x_hat - L[1:p, p + 3] = y_hat + L[1:p, p+1] = ones(p) + L[1:p, p+2] = x_hat + L[1:p, p+3] = y_hat - L[p + 1, 1:p] = ones(p) - L[p + 2, 1:p] = x_hat - L[p + 3, 1:p] = y_hat + L[p+1, 1:p] = ones(p) + L[p+2, 1:p] = x_hat + L[p+3, 1:p] = y_hat # Fill part z of rhs rhs[1:p, 1] = z_hat @@ -196,10 +196,10 @@ function calc_tps(lambda::Number, x::Vector, y::Vector, z::Matrix) coeff = L \ rhs # Fill matrix grid with smoothed z values - for i in 1:p - z_smth[i] = coeff[p + 1] + coeff[p + 2] * x_hat[i] + coeff[p + 3] * y_hat[i] + for i = 1:p + z_smth[i] = coeff[p+1] + coeff[p+2] * x_hat[i] + coeff[p+3] * y_hat[i] p_i = [x_hat[i], y_hat[i]] - for k in 1:p + for k = 1:p p_k = [x_hat[k], y_hat[k]] z_smth[i] = z_smth[i] + coeff[k] * tps_base_func(norm(p_i .- p_k)) end diff --git a/src/TrixiBottomTopography.jl b/src/TrixiBottomTopography.jl index dc46c8e2..cdf2a5a5 100644 --- a/src/TrixiBottomTopography.jl +++ b/src/TrixiBottomTopography.jl @@ -31,15 +31,21 @@ export LinearBSpline, CubicBSpline export BilinearBSpline, BicubicBSpline export spline_interpolation -# Export the functions which are used DGM data conversion -export convert_dgm_1d, convert_dgm_2d +# Export the functions which are used DGM and GeophysicalModelgenerator data conversion +export convert_dgm_1d, convert_dgm_2d, convert_geo_1d, convert_geo_2d + +# Note, Empty routines for GeophysicalModelGenerator are included and exported. +# They are extended in `ext/TrixiBottomTopographyGeophysicalModelGeneratorExt.jl` +function geo_topo_impression end +function create_topography_data end # Note, Empty routines for visualization are included and exported. They are extended # in `ext/TrixiBottomTopographyMakieExt.jl` where their implementations are found. function evaluate_bicubicspline_interpolant end function plot_topography end function plot_topography_with_interpolation_knots end -export evaluate_bicubicspline_interpolant, plot_topography, - plot_topography_with_interpolation_knots +export geo_topo_impression, create_topography_data +export evaluate_bicubicspline_interpolant, + plot_topography, plot_topography_with_interpolation_knots end diff --git a/src/auxiliary/convert.jl b/src/auxiliary/convert.jl index 0f3cb1a8..9b9f9fd7 100644 --- a/src/auxiliary/convert.jl +++ b/src/auxiliary/convert.jl @@ -20,8 +20,13 @@ Inputs: that if direction is set to `x`, the corresponding `z` values are taken with respect to the first `y` value. """ -function convert_dgm_1d(path_read::String, path_write::String; - excerpt = 1, direction = "x", section = 1) +function convert_dgm_1d( + path_read::String, + path_write::String; + excerpt = 1, + direction = "x", + section = 1, +) # Check if `section` has an acceptable value if (section < 1 || section > 1000) @@ -50,7 +55,7 @@ function convert_dgm_1d(path_read::String, path_write::String; z_all = zeros(length_data) # Save the values in the corresponding vectors - for i in 1:length_data + for i = 1:length_data line = split(data[i], " ") x_all[i] = parse(Float64, line[1]) @@ -59,8 +64,10 @@ function convert_dgm_1d(path_read::String, path_write::String; # Save only the relevant data x_uniq = x_all[1:excerpt:dimension_data] - y_uniq = reshape(z_all, (dimension_data, dimension_data))[1:excerpt:dimension_data, - section] + y_uniq = reshape(z_all, (dimension_data, dimension_data))[ + 1:excerpt:dimension_data, + section, + ] else # direction == "y" @@ -70,7 +77,7 @@ function convert_dgm_1d(path_read::String, path_write::String; z_all = zeros(length_data) # Save the values in the corresponding vectors - for i in 1:length_data + for i = 1:length_data line = split(data[i], " ") y_all[i] = parse(Float64, line[2]) @@ -78,9 +85,11 @@ function convert_dgm_1d(path_read::String, path_write::String; end # Save only the relevant data - x_uniq = y_all[1:(excerpt * dimension_data):length_data] - y_uniq = reshape(z_all, (dimension_data, dimension_data))[section, - 1:excerpt:dimension_data] + x_uniq = y_all[1:(excerpt*dimension_data):length_data] + y_uniq = reshape(z_all, (dimension_data, dimension_data))[ + section, + 1:excerpt:dimension_data, + ] end # Write the data to the file @@ -145,7 +154,7 @@ function convert_dgm_2d(path_read::String, path_write::String; excerpt = 1) z_all = zeros(length_data) # Save the values in the corresponding vectors - for i in 1:length_data + for i = 1:length_data line = split(data[i], " ") x_all[i] = parse(Float64, line[1]) @@ -155,9 +164,11 @@ function convert_dgm_2d(path_read::String, path_write::String; excerpt = 1) # Save only the relevant data x_uniq = x_all[1:excerpt:dimension_data] - y_uniq = y_all[1:(excerpt * dimension_data):length_data] - z_uniq = reshape(z_all, (dimension_data, dimension_data))[1:excerpt:dimension_data, - 1:excerpt:dimension_data] + y_uniq = y_all[1:(excerpt*dimension_data):length_data] + z_uniq = reshape(z_all, (dimension_data, dimension_data))[ + 1:excerpt:dimension_data, + 1:excerpt:dimension_data, + ] # Write the data to the file write_file = open(path_write, "w") @@ -201,3 +212,217 @@ function convert_dgm_2d(path_read::String, path_write::String; excerpt = 1) close(write_file) end + +# Converting GeophysicalModelGenerator data into readable files (1D) +""" + convert_geo_1d(path_read::String, path_write::String, nx::Int, ny::Int; + excerpt = 1, direction = "x", section = 1) + +Function to convert GeophysicalModelGenerator data files into one dimensional readable files. + +Inputs: +- `path_read`: String of the path of the data which should be converted +- `path_write`: String of the path where the new file should be saved +- `nx`: Number of unique x values in the grid +- `ny`: Number of unique y values in the grid +- `excerpt`: Optional integer that specifies a stride through the data. +- `direction`: Optional String that specifies if data should be read from "x" or "y" direction. Default is "x". +- `section`: Optional integer which specifies which section of the other dimension should be chosen. +""" +function convert_geo_1d( + path_read::String, + path_write::String; + nx::Int, + ny::Int, + excerpt = 1, + direction = "x", + section = 1, +) + + # Check if dimensions are valid + if nx <= 0 || ny <= 0 + throw(ArgumentError("Dimensions nx and ny must be positive integers")) + end + + # Check if `section` has an acceptable value + if (section < 1) + throw(ArgumentError("The value for section must be at least 1!")) + end + + # Check if `direction` is acceptable + if (!(direction == "x") && !(direction == "y")) + throw(ArgumentError("The input direction can either be \"x\" or \"y\"")) + end + + # Verify section is valid + if direction == "x" && section > ny + throw(ArgumentError("Section value ($section) exceeds y-dimension ($ny)")) + elseif direction == "y" && section > nx + throw(ArgumentError("Section value ($section) exceeds x-dimension ($nx)")) + end + + # Get file data + read_file = open(path_read) + data = readlines(read_file) + close(read_file) + + # Get data length + length_data = length(data) + + # Verify the data length matches the specified dimensions + if nx * ny != length_data + throw( + ArgumentError( + "Specified dimensions (nx=$nx, ny=$ny) don't match data length ($length_data)", + ), + ) + end + + if direction == "x" + # Create interim vectors which save all x and z values accordingly + x_all = zeros(length_data) + z_all = zeros(length_data) + + # Save the values in the corresponding vectors + for i = 1:length_data + line = split(data[i], " ") + x_all[i] = parse(Float64, line[1]) + z_all[i] = parse(Float64, line[3]) + end + + # Save only the relevant data - adjust for rectangular grid + # Get unique x values from the first row + x_uniq = x_all[1:excerpt:nx] + + # For the z values, reshape to nx×ny grid and select appropriate section + z_matrix = reshape(z_all, (nx, ny)) + y_uniq = z_matrix[1:excerpt:nx, section] + + else # direction == "y" + # Create interim vectors which save all y and z values accordingly + y_all = zeros(length_data) + z_all = zeros(length_data) + + # Save the values in the corresponding vectors + for i = 1:length_data + line = split(data[i], " ") + y_all[i] = parse(Float64, line[2]) + z_all[i] = parse(Float64, line[3]) + end + + # Save only the relevant data - adjust for rectangular grid + # Get unique y values from the first column + y_uniq = y_all[1:(excerpt*nx):length_data] + + # For the z values, reshape to nx×ny grid and select appropriate section + z_matrix = reshape(z_all, (nx, ny)) + x_uniq = z_matrix[section, 1:excerpt:ny] + end + + # Write the data to the file + write_file = open(path_write, "w") + + # The resulting file has the following form + println(write_file, "# Number of x values") + println(write_file, "$(length(x_uniq))") + println(write_file, "# x values") + for i in eachindex(x_uniq) + println(write_file, x_uniq[i]) + end + println(write_file, "# y values") + for i in eachindex(y_uniq) + println(write_file, y_uniq[i]) + end + + close(write_file) +end + +# Converting GeophysicalModelGenerator data into readable files (2D) +""" + convert_geo_2d(path_read::String, path_write::String, nx::Int, ny::Int; excerpt = 1) + +Function to convert GeophysicalModelGenerator data files into two dimensional readable files. + +Inputs: +- `path_read`: String of the path of the data which should be converted +- `path_write`: String of the path where the new file should be saved +- `nx`: Number of unique x values in the grid +- `ny`: Number of unique y values in the grid +- `excerpt`: Optional integer that specifies a stride through the data. Default is 1. +""" +function convert_geo_2d( + path_read::String, + path_write::String; + nx::Int, + ny::Int, + excerpt = 1, +) + # Check if dimensions are valid + if nx <= 0 || ny <= 0 + throw(ArgumentError("Dimensions nx and ny must be positive integers")) + end + + # Get file data + read_file = open(path_read) + data = readlines(read_file) + close(read_file) + + # Get data length + length_data = length(data) + + # Verify the data length matches the specified dimensions + if nx * ny != length_data + throw( + ArgumentError( + "Specified dimensions (nx=$nx, ny=$ny) don't match data length ($length_data)", + ), + ) + end + + # Create interim vectors which save all x, y and z values accordingly + x_all = zeros(length_data) + y_all = zeros(length_data) + z_all = zeros(length_data) + + # Save the values in the corresponding vectors + for i = 1:length_data + line = split(data[i], " ") + x_all[i] = parse(Float64, line[1]) + y_all[i] = parse(Float64, line[2]) + z_all[i] = parse(Float64, line[3]) + end + + # Save only the relevant data + # Get unique x values from the rows + x_uniq = x_all[1:excerpt:nx] + + # Get unique y values from the columns + y_uniq = y_all[1:(excerpt*nx):length_data] + + # For the z values, reshape to nx×ny grid and select with stride + z_matrix = reshape(z_all, (nx, ny)) + z_uniq = z_matrix[1:excerpt:nx, 1:excerpt:ny] + + # Write the data to the file + write_file = open(path_write, "w") + + # The resulting file has the following form + println(write_file, "# Number of x values") + println(write_file, "$(length(x_uniq))") + println(write_file, "# Number of y values") + println(write_file, "$(length(y_uniq))") + println(write_file, "# x values") + for i in eachindex(x_uniq) + println(write_file, x_uniq[i]) + end + println(write_file, "# y values") + for i in eachindex(y_uniq) + println(write_file, y_uniq[i]) + end + println(write_file, "# z values") + for i in eachindex(z_uniq) + println(write_file, z_uniq[i]) + end + + close(write_file) +end diff --git a/test/test_bicubic_b_spline.jl b/test/test_bicubic_b_spline.jl index d1581e9d..fae039d3 100644 --- a/test/test_bicubic_b_spline.jl +++ b/test/test_bicubic_b_spline.jl @@ -59,8 +59,8 @@ end data = joinpath(root_dir, "test", "data", "rhine_2d_10.txt") # Define B-spline structure - spline_struct = BicubicBSpline(data; end_condition = "not-a-knot", - smoothing_factor = 9999) + spline_struct = + BicubicBSpline(data; end_condition = "not-a-knot", smoothing_factor = 9999) # Define B-spline interpolation function spline_func(x, y) = spline_interpolation(spline_struct, x, y) diff --git a/test/test_convert.jl b/test/test_convert.jl index 2f258eb4..9f7dd23f 100644 --- a/test/test_convert.jl +++ b/test/test_convert.jl @@ -6,7 +6,9 @@ using Downloads: download @testset "Check conversion routines" begin # Define file paths - path_src_file = download("https://gist.githubusercontent.com/maxbertrand1996/c6917dcf80aef1704c633ec643a531d5/raw/f09b43f604adf9e2cfb45a7d998418f1e72f251d/dgm1_32_357_5646_1_nw.xyz") + path_src_file = download( + "https://gist.githubusercontent.com/maxbertrand1996/c6917dcf80aef1704c633ec643a531d5/raw/f09b43f604adf9e2cfb45a7d998418f1e72f251d/dgm1_32_357_5646_1_nw.xyz", + ) root_dir = pkgdir(TrixiBottomTopography) path_out_file_1d_1_x_1 = joinpath(root_dir, "test", "data", "rhine_1d_1_x_1.txt") path_out_file_1d_1_y_1 = joinpath(root_dir, "test", "data", "rhine_1d_1_y_1.txt") @@ -27,8 +29,13 @@ using Downloads: download convert_dgm_1d(path_src_file, path_out_file_1d_10_x_1; excerpt = 10) convert_dgm_1d(path_src_file, path_out_file_1d_10_y_1; excerpt = 10, direction = "y") convert_dgm_1d(path_src_file, path_out_file_1d_10_x_100; excerpt = 10, section = 100) - convert_dgm_1d(path_src_file, path_out_file_1d_10_y_100; excerpt = 10, direction = "y", - section = 100) + convert_dgm_1d( + path_src_file, + path_out_file_1d_10_y_100; + excerpt = 10, + direction = "y", + section = 100, + ) convert_dgm_2d(path_src_file, path_out_file_2d) convert_dgm_2d(path_src_file, path_out_file_2d_10; excerpt = 10) diff --git a/test/test_cubic_b_spline.jl b/test/test_cubic_b_spline.jl index 7acb7562..e54b8903 100644 --- a/test/test_cubic_b_spline.jl +++ b/test/test_cubic_b_spline.jl @@ -59,8 +59,8 @@ end data = joinpath(root_dir, "test", "data", "rhine_1d_10_y_100.txt") # Define B-spline structure - spline_struct = CubicBSpline(data; end_condition = "not-a-knot", - smoothing_factor = 9999) + spline_struct = + CubicBSpline(data; end_condition = "not-a-knot", smoothing_factor = 9999) # Define B-spline interpolation function spline_func(x) = spline_interpolation(spline_struct, x) diff --git a/utils/trixibt-format-file.jl b/utils/trixibt-format-file.jl index 289ed8b3..ffe9bd7a 100755 --- a/utils/trixibt-format-file.jl +++ b/utils/trixibt-format-file.jl @@ -2,8 +2,11 @@ using Pkg Pkg.activate(; temp = true, io = devnull) -Pkg.add(PackageSpec(name = "JuliaFormatter", version = "1.0.60"); preserve = PRESERVE_ALL, - io = devnull) +Pkg.add( + PackageSpec(name = "JuliaFormatter", version = "1.0.60"); + preserve = PRESERVE_ALL, + io = devnull, +) using JuliaFormatter: format_file @@ -14,7 +17,9 @@ function main() println() println("positional arguments:") println() - println(" PATH One or more paths (directories or files) to format. Default: '.'") + println( + " PATH One or more paths (directories or files) to format. Default: '.'", + ) return nothing end diff --git a/utils/trixibt-format.jl b/utils/trixibt-format.jl index 34bdc853..6204d2ff 100755 --- a/utils/trixibt-format.jl +++ b/utils/trixibt-format.jl @@ -2,8 +2,11 @@ using Pkg Pkg.activate(; temp = true, io = devnull) -Pkg.add(PackageSpec(name = "JuliaFormatter", version = "1.0.60"); preserve = PRESERVE_ALL, - io = devnull) +Pkg.add( + PackageSpec(name = "JuliaFormatter", version = "1.0.60"); + preserve = PRESERVE_ALL, + io = devnull, +) using JuliaFormatter: format @@ -14,7 +17,9 @@ function main() println() println("positional arguments:") println() - println(" PATH One or more paths (directories or files) to format. Default: '.'") + println( + " PATH One or more paths (directories or files) to format. Default: '.'", + ) return nothing end