An approximate Riemann solver for ideal magnetohydrodynamics
type: Item
instance of: scholarly article
title: An approximate Riemann solver for ideal magnetohydrodynamics
zbMATH Open document ID: 0797.76052
author: Wenlong Dai
author: Paul Woodward
published in: Journal of Computational Physics
publication date: 1994-05-18T00:00:00Z
review text: To construct numerical schemes of the Godunov type for solving magnetohydrodynamical (MHD) problems, an approximate method of solving the MHD Riemann problem is required in order to calculate the time- averaged fluxes at the interfaces of numerical zones. Such an MHD Riemann solver is presented here which treats all waves emanating from the initial discontinuity as themselves discontinuous. Thus shock jump conditions are used for rarefactions, which limits the applicability of this work to weak rarefactions, the case most important for computation.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76L05
zbMATH DE Number: 569509
zbMATH Keywords: rarefaction waves
zbMATH Keywords: shock tube problem
zbMATH Keywords: schemes of the Godunov type
zbMATH Keywords: time- averaged fluxes
zbMATH Keywords: discontinuity
zbMATH Keywords: shock jump conditions
MaRDI profile type: Publication
full work available at URL: jcph.1994.1069
OpenAlex ID: W2032430287
DOI: 10.1006/JCPH.1994.1069
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description: scientific article; zbMATH DE number 569509