High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

DOI10.1016/j.jcp.2021.110136OpenAlexW3012882536MaRDI QIDQ2128390

Junming Duan, Hua-Zhong Tang

Publication date: 21 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10081

zbMATH Keywords

finite difference schemehigh-order accuracypositivity preservingshallow water magnetohydrodynamicsentropy stable schemeentropy conservative scheme

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (14)

Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations ⋮ Coherent magnetic modon solutions in quasi-geostrophic shallow water magnetohydrodynamics ⋮ High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography ⋮ Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations ⋮ Sign stable arbitrary high order reconstructions for constructing non-oscillatory entropy stable schemes ⋮ Unnamed Item ⋮ A new S-M limiter entropy stable scheme based on moving mesh method for ideal MHD and SWMHD equations ⋮ High order hybrid asymptotic augmented finite volume methods for nonlinear degenerate wave equations ⋮ High-order finite-difference entropy stable schemes for two-fluid relativistic plasma flow equations ⋮ An initial-boundary value problem for the one-dimensional rotating shallow water magnetohydrodynamic equations ⋮ High-order accurate entropy stable schemes for relativistic hydrodynamics with general Synge-type equation of state ⋮ Entropy stable non-oscillatory fluxes: an optimized wedding of entropy conservative flux with non-oscillatory flux ⋮ Small collaboration: Advanced numerical methods for nonlinear hyperbolic balance laws and their applications. Abstracts from the small collaboration held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates

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