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updated the RAEADME file again
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README

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@@ -19,6 +19,8 @@ Enjoy and please provide me with feedback to make these tutorials more useful!
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Contributions from the community are also more than welcome!
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Copyright by Artur K. Lidtke, 2017.
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Disclaimer: this offering is not approved or endorsed by OpenCFD Limited, producer
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and distributor of the OpenFOAM® software via www.openfoam.com, and owner of the
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OPENFOAM® and OpenCFD® trade marks.
@@ -158,36 +160,36 @@ Tutorial 8 - Runtime post processing utility
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Tutorial 9 - Transport equation
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Introduces the concepts behind solving a simple scalar transport equation.
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The solver sets up the transport problem by importing a fixed velocity field
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from the last time step and solving the transport of a scalar, beta, in the
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presence of the velocity, beta being also subject to diffusion characterised
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by a fixed proportionality constant, gamma. The solver is conceptually similar
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to the built-in scalarTransportFoam, except it solves a steady-state problem.
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Key things to note are 1) the syntax behind the scalar transport equation
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2) how OpenFOAM translates the syntax into specific operations and associates
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them with entries in system/fvSolution and system/fvSchemes dictionaries
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3) inclusion of the boundary condition definitions in 0/beta into the equation
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4) units of the equations being solved and how OpenFOAM handles them.
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The test case is a simple 2D square domain with fixed scalar inlets at the bottom
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and the left-hand side. Transport takes place in the presence of a velocity
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field convecting away from the beta inlets. Once the case is run, it is best
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to visualise the initial conditions in the "beta" field and the solution to the
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transport equation saved as the "result" field.
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To run:
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wmake
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cd testCase
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./Allrun
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Recommended reading:
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- Wikipedia is always a good start:
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https://en.wikipedia.org/wiki/Convection%E2%80%93diffusion_equation
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- Very brief description of the physical and mathematical concepts behind
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the scalar transport equation by CFD-online:
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https://www.cfd-online.com/Wiki/Generic_scalar_transport_equation
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- Chapters 3, 4 and especially 5 in "Numerical Methods in Heat, Mass, and Momentum Transfer"
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by Murthy, J. Y. 2002:
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https://engineering.purdue.edu/ME608/webpage/main.pdf
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Introduces the concepts behind solving a simple scalar transport equation.
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The solver sets up the transport problem by importing a fixed velocity field
166+
from the last time step and solving the transport of a scalar, beta, in the
167+
presence of the velocity, beta being also subject to diffusion characterised
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by a fixed proportionality constant, gamma. The solver is conceptually similar
169+
to the built-in scalarTransportFoam, except it solves a steady-state problem.
170+
Key things to note are 1) the syntax behind the scalar transport equation
171+
2) how OpenFOAM translates the syntax into specific operations and associates
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them with entries in system/fvSolution and system/fvSchemes dictionaries
173+
3) inclusion of the boundary condition definitions in 0/beta into the equation
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4) units of the equations being solved and how OpenFOAM handles them.
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The test case is a simple 2D square domain with fixed scalar inlets at the bottom
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and the left-hand side. Transport takes place in the presence of a velocity
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field convecting away from the beta inlets. Once the case is run, it is best
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to visualise the initial conditions in the "beta" field and the solution to the
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transport equation saved as the "result" field.
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To run:
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wmake
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cd testCase
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./Allrun
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Recommended reading:
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- Wikipedia is always a good start:
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https://en.wikipedia.org/wiki/Convection%E2%80%93diffusion_equation
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- Very brief description of the physical and mathematical concepts behind
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the scalar transport equation by CFD-online:
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https://www.cfd-online.com/Wiki/Generic_scalar_transport_equation
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- Chapters 3, 4 and especially 5 in "Numerical Methods in Heat, Mass, and Momentum Transfer"
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by Murthy, J. Y. 2002:
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https://engineering.purdue.edu/ME608/webpage/main.pdf

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