A low-dissipation HLLD approximate Riemann solver for a very wide range of Mach numbers

2021/08/11 by Takashi Minoshima, Minoshima, Takashi, Takahiro Miyoshi +1 · 1 citation
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Plasma Physics (physics.plasm-ph) #Solar and Stellar Astrophysics (astro-ph.SR) #Space Physics (physics.space-ph)

paper · pdf · doi:10.48550/arxiv.2108.04991

openalex publication_date 2021/08/11 · openalex created_date 2021/08/16 · openalex updated_date 2026/07/28

Abstract

We propose a new Harten-Lax-van Leer discontinuities (HLLD) approximate Riemann solver to improve the stability of shocks and the accuracy of low-speed flows in multidimensional magnetohydrodynamic (MHD) simulations. Stringent benchmark tests verify that the new solver is more robust against a numerical shock instability and is more accurate for low-speed, nearly incompressible flows than the original solver, whereas additional computational costs are quite low. The novel ability of the new solver enables us to tackle MHD systems, including both high and low Mach number flows.

Citations

• An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics

Cited by

• On energy consistency of intermediate states in HLL-type MHD Riemann solvers

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