Conservative and orthogonal discretization for the Lorentz force.
type: Item
instance of: scholarly article
title: Conservative and orthogonal discretization for the Lorentz force.
zbMATH Open document ID: 1039.76041
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 2003-04-28T00:00:00Z
review text: In the case of errors in the computation of \(\nabla\cdot B\), the Lorentz force \(J\times B\) should be discretized in such a way that it is orthogonal to the magnetic field \(B\) (here \(J=\nabla\times B\)). Many magnetohydrodynamic (MHD) codes follow this approach. Unfortunately, such discretizations are not conservative in general. The author shows that it is possible to construct a conservative scheme in which the discretized Lorentz force is orthogonal to the magnetic field in the cell centers. This note does not try to evaluate the accuracy of such discretization. Although the discussion is restricted to two-dimensional Cartesian grids, the author claims that it could be trivially extended to three-dimensional grids. There is no attempt of a generalization to non-Cartesian or unstructured grids.
Mathematics Subject Classification ID: 76M12
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 1901691
zbMATH Keywords: magnetohydrodynamics
describes a project that uses: ZEUS
MaRDI profile type: Publication
OpenAlex ID: W2054816753
cites work: A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
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DOI: 10.1006/JCPH.2002.7177
description: scientific article; zbMATH DE number 1901691