A matrix free implicit scheme for solution of resistive magneto-hydrodynamics equations on unstructured grids

DOI10.1016/j.jcp.2013.06.003zbMath1349.76533OpenAlexW2044439529MaRDI QIDQ347966

H. Sitaraman, Laxminarayan L. Raja

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.06.003

zbMATH Keywords

finite volume methodsunstructured gridsmagneto-hydrodynamicsmatrix-freeimplicit schemesLower-Upper Symmetric Gauss Seidel

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Related Items (3)

Implicit dual-time stepping method for a solar wind model in spherical coordinates ⋮ A high-order residual-based viscosity finite element method for the ideal MHD equations ⋮ An effective matrix-free implicit scheme for the magnetohydrodynamic solar wind simulations

Uses Software

• Mathematica
• ADIFOR
• PETSc
• HE-E1GODF
• NIMROD

Cites Work

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• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• A fast, matrix-free implicit method for compressible flows on unstructured grids
• A grid generation and flow solution method for the Euler equations on unstructured grids
• An implicit numerical scheme for the simulation of internal viscous flow on unstructured grids
• Hyperbolic divergence cleaning for the MHD equations
• A solution-adaptive upwind scheme for ideal magnetohydrodynamics
• Estimation of Sparse Jacobian Matrices and Graph Coloring Blems
• High-Order Unstructured One-Step PNPM Schemes for the Viscous and Resistive MHD Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A flux-limited numerical method for solving the MHD equations to simulate propulsive plasma flows

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