An entropy stable finite volume scheme for the equations of shallow water magnetohydrodynamics

DOI10.1007/s10915-015-0092-6zbMath1381.76227arXiv1509.06902OpenAlexW2171129636MaRDI QIDQ292549

Gregor J. Gassner, Andrew R. Winters

Publication date: 8 June 2016

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06902

zbMATH Keywords

finite volumenonlinear hyperbolic conservation lawentropy stabilityentropy conservationnonlinear hyperbolic balance lawshallow water magnetohydrodynamics

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics, High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics, Entropy stable finite volume approximations for ideal magnetohydrodynamics, A new S-M limiter entropy stable scheme based on moving mesh method for ideal MHD and SWMHD equations, An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids, Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates

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