A well-balanced finite volume solver for the 2D shallow water magnetohydrodynamic equations with topography

DOI10.1016/J.CPC.2024.109328MaRDI QIDQ6649108

I. Kissami, Imad Elmahi, Ahmed Ratnani, Abou Cissé

Publication date: 5 December 2024

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

finite volume methodhyperbolic systemtopographystationary stateGLM methodSWMHD equations

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• An entropy stable finite volume scheme for the equations of shallow water magnetohydrodynamics
• Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
• A new finite volume method for flux-gradient and source-term balancing in shallow water equations
• Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics
• The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
• Upwind methods for hyperbolic conservation laws with source terms
• On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method.
• The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
• Hyperbolic divergence cleaning for the MHD equations
• Numerical modelling of sediment transport in the Nador lagoon (Morocco)
• An evolution Galerkin scheme for the shallow water magnetohydrodynamic equations in two space dimensions
• A solution-adaptive upwind scheme for ideal magnetohydrodynamics
• High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
• A second-order unsplit Godunov scheme for cell-centered MHD: the CTU-GLM scheme
• A multi well-balanced scheme for the shallow water MHD system with topography
• Application of space-time CE/SE method to shallow water magnetohydrodynamic equations
• Shock-capturing methods for free-surface shallow flows
• Shear flow instabilities in shallow-water magnetohydrodynamics
• Rossby waves in “shallow water” magnetohydrodynamics
• A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
• The emergence of jets and vortices in freely evolving, shallow-water turbulence on a sphere
• ADVANCED HYPERBOLIC DIVERGENCE CLEANING SCHEME FOR SHALLOW WATER MAGNETOHYDRODYNAMICS
• Atmospheric and Oceanic Fluid Dynamics
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Numerical solution of shallow water magnetohydrodynamic equations with non-flat bottom topography

This page was built for publication: A well-balanced finite volume solver for the 2D shallow water magnetohydrodynamic equations with topography

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6649108)