Discrete shallow water equations preserving symmetries and conservation laws
نویسندگان
چکیده
The one-dimensional shallow water equations in Eulerian coordinates are considered. Relations between symmetries and conservation laws for the potential form of equations, shown. An invariant difference scheme with arbitrary bottom topography is constructed. It possesses all finite-difference analogues laws. Some topographies require moving meshes coordinates, which stationary mass Lagrangian coordinates. developed conservative schemes verified numerically using examples flow various topographies.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2021
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0031936