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Merge pull request #6 from PTsolvers/lr/revision
GMD 2021-411 revision
2 parents 894f32b + 82b1cb9 commit ac4ec97

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‎Project.toml

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name = "PseudoTransientStokes"
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uuid = "47583623-8bd0-4afd-8f99-f1ff54a695ec"
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authors = ["Ludovic Raess <[email protected]>, Ivan Utkin and contributors"]
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version = "0.1.0"
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version = "1.0.0"
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[deps]
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BSON = "fbb218c0-5317-5bc6-957e-2ee96dd4b1f0"
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CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
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DataStructures = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
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ImplicitGlobalGrid = "4d7a3746-15be-11ea-1130-334b0c4f5fa0"
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LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
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MAT = "23992714-dd62-5051-b70f-ba57cb901cac"

‎README.md

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Parallel (multi-) XPU iterative 2D and 3D incompressible Stokes flow solvers with viscous and Maxwell visco-elastic shear rheology. This software is part of the [**PTsolvers project**](https://ptsolvers.github.io/).
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8-
The aim of this project is to provide iterative solvers **assessing the scalability, performance, and robustness of the accelerated pseudo-transient method** with application to Stokes flow and mechancial processes. The solution strategy characterises as semi-iterative, implementing the second-order convergence acceleration as introduced by, e.g., \[[Frankel, 1950](https://doi.org/10.2307/2002770)\].
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The aim of this project is to provide iterative solvers **assessing the scalability, performance, and robustness of the accelerated pseudo-transient method** with application to Stokes flow and mechancial processes. The solution strategy characterises as semi-iterative, implementing the second-order convergence acceleration as introduced by, e.g., [Frankel (1950)](https://doi.org/10.2307/2002770).
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This repository, together with [**PseudoTransientDiffusion.jl**](https://github.com/PTsolvers/PseudoTransientDiffusion.jl/), relates to the original research article draft submitted to the _**Journal XXX**_:
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This repository, together with [**PseudoTransientDiffusion.jl**](https://github.com/PTsolvers/PseudoTransientDiffusion.jl/), relates to the original research article draft submitted to the _**Geoscientific Model Development**_ journal:
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```tex
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@article{raess2022,
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title = {{ }},
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journal = {Journal XXX}
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@Article{raess2022,
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AUTHOR = {R\"ass, L. and Utkin, I. and Duretz, T. and Omlin, S. and Podladchikov, Y. Y.},
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TITLE = {Assessing the robustness and scalability of the accelerated pseudo-transient method towards exascale computing},
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JOURNAL = {Geoscientific Model Development Discussions},
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VOLUME = {2022},
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YEAR = {2022},
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PAGES = {1--46},
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URL = {https://gmd.copernicus.org/preprints/gmd-2021-411/},
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DOI = {10.5194/gmd-2021-411}
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}
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```
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‎output/out_Stokes2D_ve_aspect_ratio_param.txt

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127 127 1 1.0 7493 5 8.949133719444429e-7
2+
127 127 1 0.9 6985 5 4.181419533545885e-7
3+
127 127 1 0.8 6985 5 7.875613751823342e-7
4+
127 127 1 0.7 6858 5 3.7557325527563354e-7
5+
127 127 1 0.6 7747 5 5.810437011692422e-7
6+
127 127 1 0.5 8890 5 6.690701429439299e-7
7+
127 127 1 0.4 10668 5 9.660892025202093e-7
8+
127 127 1 0.3 14224 5 4.83414048051695e-7
9+
127 127 1 0.2 20574 5 7.356075701915861e-7
10+
127 127 1 0.1 39243 5 5.931611081453011e-7
11+
255 127 2 1.0 40290 5 9.689716795449745e-7
12+
255 127 2 0.9 36210 5 8.824730578376933e-7
13+
255 127 2 0.8 32130 5 7.834884977722411e-7
14+
255 127 2 0.7 28305 5 8.878712118355355e-7
15+
255 127 2 0.6 24225 5 7.525784032748784e-7
16+
255 127 2 0.5 20145 5 8.837592258677685e-7
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255 127 2 0.4 16830 5 6.653892802484143e-7
18+
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19+
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511 127 4 0.6 79205 5 9.286647929562713e-7
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511 127 4 0.5 64897 5 9.384957748370229e-7
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511 127 4 0.4 52122 5 9.304819560945235e-7
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511 127 4 0.3 39347 5 5.894892345199578e-7
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511 127 4 0.2 28105 5 9.45420652110166e-7
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511 127 4 0.1 52633 5 2.9110225854316013e-7
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255 255 1 0.7 14025 5 4.163477559257886e-7
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255 255 1 0.6 15300 5 4.936447856025642e-7
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255 255 1 0.5 17595 5 6.133327342363607e-7
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255 255 1 0.4 22440 5 7.635308715871784e-7
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255 255 1 0.3 28305 5 4.662756467175016e-7
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255 255 1 0.2 41310 5 7.637852272206864e-7
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255 255 1 0.1 78030 5 8.243779230052118e-7
51+
511 255 2 1.0 47523 5 9.048588086115834e-7
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511 255 2 0.9 43435 5 8.592460324659496e-7
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511 255 2 0.8 38325 5 8.161696843568943e-7
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511 255 2 0.7 33726 5 7.53652344834529e-7
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511 255 2 0.6 28105 5 9.566665405154029e-7
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511 255 2 0.5 24528 5 5.868071476703658e-7
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511 255 2 0.4 26061 5 5.769205741627131e-7
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511 255 2 0.3 31171 5 7.719007292828865e-7
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511 255 2 0.2 45990 5 6.958651219444252e-7
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511 255 2 0.1 91469 5 5.937653206533137e-7
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1023 255 4 1.0 392833 5 9.864575117795227e-7
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1023 255 4 0.8 323268 5 9.898649520476326e-7
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1023 255 4 0.5 202554 5 9.275514061140826e-7
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1023 255 4 0.4 160611 5 9.254853185540378e-7
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1023 255 4 0.3 119691 5 9.094416913519604e-7
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1023 255 4 0.2 84909 5 7.902401527930736e-7
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1023 255 4 0.1 101277 5 4.2420961946284025e-7
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2047 255 8 1.0 331614 5 9.407841289680347e-7
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2047 255 8 0.9 298862 5 9.618348073861225e-7
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2047 255 8 0.8 264063 5 9.864200940173828e-7
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2047 255 8 0.6 204700 5 9.049949422592606e-7
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2047 255 8 0.5 184230 5 8.078278893769553e-7
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2047 255 8 0.4 161713 5 9.908782894745435e-7
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2047 255 8 0.2 98256 5 7.167327040519742e-7
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2047 255 8 0.1 167854 5 5.933066442117446e-7
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511 511 1 1.0 29127 5 5.563170854633726e-7
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511 511 1 0.9 28105 5 4.3736733059403713e-7
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511 511 1 0.7 28105 5 4.223696693508142e-7
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511 511 1 0.6 30149 5 9.825989301822902e-7
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511 511 1 0.5 35259 5 5.315279912700201e-7
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511 511 1 0.1 155344 5 5.833147538617798e-7
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1023 511 2 0.2 90024 5 6.354620164546036e-7
100+
1023 511 2 0.1 172887 5 4.073608559466756e-7
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2047 511 4 1.0 497421 5 9.794480542612262e-7
102+
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2047 511 4 0.2 128961 5 6.450922252281872e-7
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2047 511 4 0.1 198559 5 2.971606873429217e-7
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4095 511 8 1.0 380835 5 9.813828483815118e-7
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4095 511 8 0.9 348075 5 9.334827938554041e-7
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4095 511 8 0.8 311220 5 9.485673333929995e-7
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1023 1023 1 0.6 60357 5 9.158270106666292e-7
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1023 1023 1 0.1 310992 5 5.771850734330881e-7
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2047 1023 2 1.0 157619 5 9.024666034771542e-7
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2047 1023 2 0.9 143290 5 9.142781594155181e-7
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2047 1023 2 0.7 110538 5 9.661385150377673e-7
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2047 1023 2 0.6 94162 5 7.378644181315238e-7
136+
2047 1023 2 0.5 85974 5 3.525552763417923e-7
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2047 1023 2 0.4 92115 5 5.384007080824774e-7
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2047 1023 2 0.3 122820 5 6.350885506310499e-7
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2047 1023 2 0.2 178089 5 5.861690536689725e-7
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2047 1023 2 0.1 345943 5 3.076026961406958e-7
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4095 1023 4 1.0 1597052 5 9.807849780882133e-7
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4095 1023 4 0.9 1486486 5 9.85380521233787e-7
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4095 1023 4 0.8 1367731 5 9.642555965960354e-7
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4095 1023 4 0.7 1199835 5 9.87775660059297e-7
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4095 1023 4 0.5 859950 5 9.547029687145927e-7
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4095 1023 4 0.3 515970 5 9.687230258231868e-7
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4095 1023 4 0.2 352170 5 9.211997900556518e-7
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4095 1023 4 0.1 380835 5 3.004563754238144e-7
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8191 1023 8 1.0 1130358 5 9.886797666971499e-7
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8191 1023 8 0.9 1023875 5 9.755058338619207e-7
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8191 1023 8 0.8 909201 5 9.765735836758394e-7
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8191 1023 8 0.7 810909 5 9.421201736910573e-7
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8191 1023 8 0.6 696235 5 9.33381055558157e-7
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8191 1023 8 0.5 597943 5 9.227497550958628e-7
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8191 1023 8 0.4 565179 5 8.787963445641398e-7
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8191 1023 8 0.3 524224 5 9.992063047854377e-7
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8191 1023 8 0.2 442314 5 9.255563467140268e-7
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8191 1023 8 0.1 573370 5 7.325327415445809e-7
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2047 2047 1 1.0 116679 5 4.87567555536393e-7
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2047 2047 1 0.9 112585 5 4.1904926880050874e-7
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2047 2047 1 0.8 108491 5 5.76360633680984e-7
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2047 2047 1 0.7 112585 5 4.2209983134023145e-7
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2047 2047 1 0.6 120773 5 8.848022272453102e-7
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2047 2047 1 0.5 139196 5 4.734848344181913e-7
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2047 2047 1 0.4 176042 5 5.688845836865335e-7
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2047 2047 1 0.3 223123 5 4.5678974136979957e-7
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2047 2047 1 0.2 331614 5 7.499449977674834e-7
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2047 2047 1 0.1 622288 5 5.728334991195086e-7
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4095 2047 2 1.0 147420 5 9.807672605107035e-7
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4095 2047 2 0.9 135135 5 4.042723561418304e-7
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4095 2047 2 0.8 126945 5 4.497623880515488e-7
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4095 2047 2 0.7 122850 5 3.294602843134487e-7
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4095 2047 2 0.6 135135 5 2.403407029461205e-7
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4095 2047 2 0.5 155610 5 9.370393808041531e-7
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4095 2047 2 0.4 184275 5 5.219763587442667e-7
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4095 2047 2 0.3 237510 5 6.201819316490409e-7
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4095 2047 2 0.2 356265 5 5.758648981041689e-7
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4095 2047 2 0.1 692055 5 2.6508430058487347e-7
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8191 2047 4 1.0 1523526 5 9.750684611500487e-7
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8191 2047 4 0.9 1367897 5 9.768997214874987e-7
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8191 2047 4 0.8 1220459 5 9.665137032074935e-7
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8191 2047 4 0.7 1064830 5 9.933891609796304e-7
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8191 2047 4 0.6 917392 5 9.763406536071941e-7
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8191 2047 4 0.5 761763 5 9.807629362085003e-7
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8191 2047 4 0.4 614325 5 9.697127941270696e-7
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8191 2047 4 0.3 483269 5 7.714389261741339e-7
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8191 2047 4 0.2 458696 5 5.489689719037788e-7
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8191 2047 4 0.1 761763 5 2.9880142093997593e-7
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16383 2047 8 1.0 1261491 5 9.913309698241956e-7
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16383 2047 8 0.9 1146810 5 9.646188689210857e-7
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16383 2047 8 0.8 1015746 5 9.990420928017293e-7
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16383 2047 8 0.7 901065 5 9.602494666476408e-7
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16383 2047 8 0.6 786384 5 9.164044218107381e-7
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16383 2047 8 0.5 655320 5 9.630995134486998e-7
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16383 2047 8 0.4 557022 5 7.997760328955989e-7
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16383 2047 8 0.3 540639 5 6.929784137665239e-7
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16383 2047 8 0.2 606171 5 4.969339854074335e-7
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16383 2047 8 0.1 884682 5 1.2192983240272868e-7

‎scripts/Stokes2D_param.jl

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using ParallelStencil.FiniteDifferences2D
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@static if USE_GPU
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@init_parallel_stencil(CUDA, Float64, 2)
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CUDA.device!(gpu_id) # Set CUDA device
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else
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@init_parallel_stencil(Threads, Float64, 2)
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end
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@views function Stokes2D()
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# Set random seed for reproducibility
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Random.seed!(1855 + nsub)
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# Set CUDA device
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CUDA.device!(gpu_id)
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# Physics
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lx, ly = 10.0, 10.0 # domain extends
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μs0 = 1.0 # matrix viscosity
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end
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if do_save
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!ispath("../output") && mkpath("../output")
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open("out_Stokes2D_$(simname)_param.txt","a") do io
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open("../output/out_Stokes2D_$(simname)_param.txt","a") do io
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println(io, "$(vrpow) $(nsub) $(Re_mlt) $(iter) $(err_V) $(err_∇V)")
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end
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end

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