An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations-Reference-Cited by-同舟云学术

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An entropy stable essentially oscillation-free discontinuous Galerkin method for solving ideal magnetohydrodynamic equations

Published:2025-06 Issue: Volume:530 Page:113911
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Liu Yong,Lu Jianfang,Shu Chi-Wang

Funder

Guangzhou Municipal Science and Technology Program key projects

National Science Foundation

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Youth Innovation Promotion Association

Chinese Academy of Sciences Youth Innovation Promotion Association

Chinese Academy of Sciences

Publisher

Elsevier BV

Reference59 articles.

1. A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations;Balsara;J. Comput. Phys.,1999

2. Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers;Balsara;J. Comput. Phys.,2017

3. An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: theory and numerical verification;Bohm;J. Comput. Phys.,2020

4. The effect of nonzero ∇⋅B on the numerical solution of the magnetohydrodynamic equations;Brackbill;J. Comput. Phys.,1988

5. An upwind differencing scheme for the equations of ideal magnetohydrodynamics;Brio;J. Comput. Phys.,1988

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