Discrete shallow water equations preserving symmetries and conservation laws
| العنوان: | Discrete shallow water equations preserving symmetries and conservation laws |
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| المؤلفون: | Vladimir Dorodnitsyn, E. I. Kaptsov |
| المصدر: | Journal of Mathematical Physics. 62:083508 |
| بيانات النشر: | AIP Publishing, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Conservation law, Mathematical analysis, Statistical and Nonlinear Physics, Eulerian path, Invariant (physics), Physics::Fluid Dynamics, symbols.namesake, Lagrangian and Eulerian specification of the flow field, Flow (mathematics), Homogeneous space, symbols, Polygon mesh, Shallow water equations, Physics::Atmospheric and Oceanic Physics, Mathematical Physics, Mathematics |
| الوصف: | The one-dimensional shallow water equations in Eulerian coordinates are considered. Relations between symmetries and conservation laws for the potential form of the equations and symmetries and conservation laws in Eulerian coordinates are shown. An invariant difference scheme for equations in Eulerian coordinates with arbitrary bottom topography is constructed. It possesses all the finite-difference analogs of the conservation laws. Some bottom topographies require moving meshes in Eulerian coordinates, which are stationary meshes in mass Lagrangian coordinates. The developed invariant conservative difference schemes are verified numerically using examples of flow with various bottom topographies. |
| تدمد: | 1089-7658 0022-2488 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::c936192dfe3eaa5569155dabf1887acf https://doi.org/10.1063/5.0031936 |
| رقم الأكسشن: | edsair.doi...........c936192dfe3eaa5569155dabf1887acf |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Scitation. | تدمد: | 10897658 00222488 |
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