On Godunov-type schemes for magnetohydrodynamics. I: A model system

DOI10.1006/jcph.1998.6101zbMath0917.76053OpenAlexW2040754049MaRDI QIDQ1285851

R. S. Myong, Philip L. Roe

Publication date: 2 May 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6101

zbMATH Keywords

conservation lawsAlfvén wavesshock-capturing methodsfluxes on cell interfacesMHD hyperbolic singularitieswell-posed Riemann problem

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (11)

A finite volume method for the 3D Lagrangian ideal compressible magnetohydrodynamics ⋮ An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics ⋮ A relaxation model for numerical approximations of the multidimensional pressureless gas dynamics system ⋮ On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method. ⋮ A 3D cell-centered Lagrangian scheme for the ideal magnetohydrodynamics equations on unstructured meshes ⋮ A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics ⋮ Stationary two-dimensional magnetohydrodynamic flows with shocks: Characteristic analysis and grid convergence study ⋮ High-order WENO schemes: Investigations on non-uniform convergence for MHD Riemann problems ⋮ Solving the MHD equations by the space-time conservation element and solution element method ⋮ A second-order positivity-preserving finite volume upwind scheme for air-mixed droplet flow in atmospheric icing ⋮ Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics

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