An analytical solution of the isentropic vortex problem in the special relativistic magnetohydrodynamics

DOI10.1016/J.JCP.2021.110903OpenAlexW3182388863MaRDI QIDQ2133769

Junming Duan, Hua-Zhong Tang

Publication date: 5 May 2022

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

Full work available at URL: https://arxiv.org/abs/2107.01966

zbMATH Keywords

analytical solutionspecial relativistic magnetohydrodynamicsisentropic vortex

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Related Items (1)

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics

Cites Work

• A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics
• Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics
• Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics
• Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations
• A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

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