Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

DOI10.4208/cicp.OA-2022-0067zbMath1496.65138arXiv2202.08584MaRDI QIDQ5042019

R. Touma, Christian Klingenberg, F. Kanbar

Publication date: 18 October 2022

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

Full work available at URL: https://arxiv.org/abs/2202.08584

zbMATH Keywords

steady statesMHD equationswell-balanced schemesunstaggered central schemesdivergence-free constraintconstrained transport method

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (5)

A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations ⋮ A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations ⋮ Stability and Convergence of Stabilized Finite Volume Iterative Methods for Steady Incompressible MHD Flows with Different Viscosities ⋮ A well-balanced positivity-preserving multidimensional central scheme for shallow water equations ⋮ High order structure-preserving finite difference WENO schemes for MHD equations with gravitation in all sonic Mach numbers

Cites Work

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• A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics

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