A stable HLLC Riemann solver for relativistic magnetohydrodynamics

DOI10.1016/j.jcp.2014.04.023zbMath1349.76618OpenAlexW1984349205MaRDI QIDQ349220

Dinshaw S. Balsara, Jin Ho Kim

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.2014.04.023

zbMATH Keywords

Riemann solvershllcrelativistic MHD

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items

Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes, Entropy stable discontinuous Galerkin schemes for two-fluid relativistic plasma flow equations, Multidimensional Riemann problem with self-similar internal structure. Part III: A multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems, Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics, Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations, On physical-constraints-preserving schemes for special relativistic magnetohydrodynamics with a general equation of state, A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism, A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector

Uses Software

• RIEMANN
• ECHO

Cites Work

• An HLLC Riemann solver for magneto-hydrodynamics
• HLLC solver for ideal relativistic MHD
• A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
• Restoration of the contact surface in the HLL-Riemann solver
• Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
• A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
• A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
• On the Choice of Wavespeeds for the HLLC Riemann Solver
• An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics
• An efficient shock-capturing central-type scheme for multidimensional relativistic flows