A high-order kinetic flux-splitting method for the relativistic magnetohydrodynamics

DOI10.1016/j.jcp.2004.11.004zbMath1087.76090OpenAlexW2024673410MaRDI QIDQ1780675

Shamsul Qamar, Gerald Warnecke

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.11.004

zbMATH Keywords

Conservation lawsMUSCL-type reconstructionHyperbolic systemsKinetic schemesDiscontinuous solutionsRelativistic MHD equations

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Magnetohydrodynamics and electrohydrodynamics (76W05) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (13)

Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state ⋮ High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics ⋮ Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics ⋮ Numerical solution of shallow water magnetohydrodynamic equations with non-flat bottom topography ⋮ Finite volume local evolution Galerkin method for two-dimensional relativistic hydrodynamics ⋮ Runge-Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics ⋮ Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics ⋮ Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations ⋮ Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations ⋮ On the application of a variant CE/SE method for solving two-dimensional ideal MHD equations ⋮ On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state ⋮ The space-time CE/SE method for solving one-dimensional special relativistic magnetohydrodynamics equations ⋮ Finite element form of FDV for widely varying flowfields

Uses Software

• ZEUS

Cites Work

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