A Roe scheme for ideal MHD equation on 2D adaptively refined triangular grids
type: Item
instance of: scholarly article
title: A Roe scheme for ideal MHD equation on 2D adaptively refined triangular grids
zbMATH Open document ID: 0937.76043
author: Pierre-François Peyrard
author: P. Villedieu
published in: Journal of Computational Physics
publication date: 1999-08-16T00:00:00Z
review text: We present a second-order finite volume method for the solution of two-dimensional ideal MHD equations on adaptively refined triangular meshes. The numerical flux function is based on a multi-dimensional extension of the Roe scheme. If the mesh is composed only of triangles, our scheme is proved to be weakly consistent with the condition \(\nabla\cdot{\mathbf B}=0\). This property fails on a Cartesian grid. The efficiency of our refinement procedure is shown on two-dimensional MHD shock capturing simulations. \(\copyright\) Academic Press.
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 1292019
zbMATH Keywords: nonparametrized entropy correction
zbMATH Keywords: unstructured grid
zbMATH Keywords: second-order finite volume method
zbMATH Keywords: adaptively refined triangular meshes
zbMATH Keywords: numerical flux function
zbMATH Keywords: shock capturing simulations
MaRDI profile type: Publication
full work available at URL: jcph.1999.6198
OpenAlex ID: W2055375610
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DOI: 10.1006/JCPH.1999.6198
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description: scientific article; zbMATH DE number 1292019