An implicit scheme for nonideal magnetohydrodynamics

DOI10.1006/jcph.1996.5580zbMath0871.76064OpenAlexW2072888586MaRDI QIDQ676362

Uri Shumlak, D. Scott Eberhardt, Ogden S. Jones

Publication date: 8 October 1997

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

Full work available at URL: https://doi.org/10.1006/jcph.1996.5580

zbMATH Keywords

finite volume schemeapproximate Riemann solvercentral differencingrelaxation schemehyperbolic fluxeslower-upper symmetric Gauss-Seidel iterationparabolic fluxes

Mathematics Subject Classification ID

Related Items (16)

A discontinuous Galerkin method for two-temperature plasmas ⋮ Implicit dual-time stepping method for a solar wind model in spherical coordinates ⋮ A matrix free implicit scheme for solution of resistive magneto-hydrodynamics equations on unstructured grids ⋮ Numerical study of the plasma tearing instability on the resistive time scale ⋮ An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics ⋮ Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas ⋮ Computationally efficient high-fidelity plasma simulations by coupling multi-species kinetic and multi-fluid models on decomposed domains ⋮ Implicit symmetrized streamfunction formulations of magnetohydrodynamics ⋮ An effective matrix-free implicit scheme for the magnetohydrodynamic solar wind simulations ⋮ Pseudo-wave decomposition high-order method for magnetogasdynamics ⋮ A high-order gas-kinetic method for multidimensional ideal magnetohydrodynamics ⋮ A non-staggered, conservative, finite-volume scheme for 3D implicit extended magnetohydrodynamics in curvilinear geometries ⋮ ADI-SGS scheme on ideal magnetohydrodynamics ⋮ Approximate Riemann solver for the two-fluid plasma model. ⋮ A discontinuous Galerkin method for the viscous MHD equations ⋮ An implicit, nonlinear reduced resistive MHD solver

Cites Work

• High resolution schemes for hyperbolic conservation laws
• Implicit total variation diminishing (TVD) schemes for steady-state calculations
• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• Nonlinear, two-dimensional magnetohydrodynamic calculations
• Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
• A higher-order Godunov method for the equations of ideal magnetohydrodynamics
• An approximate Riemann solver for ideal magnetohydrodynamics
• Extension of the piecewise parabolic method to multidimensional ideal magnetohydrodynamics
• Semi-implicit magnetohydrodynamic calculations
• A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws
• Alternating direction implicit techniques for two-dimensional magnetohydrodynamic calculations
• A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
• Notes on the Eigensystem of Magnetohydrodynamics

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