Solenoidal Discrete Initialization for Magnetohydrodynamics

Rolf Jeltsch () and Manuel Torrilhon ()
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Rolf Jeltsch: ETH Zurich, Seminar for Applied Mathematics
Manuel Torrilhon: ETH Zurich, Seminar for Applied Mathematics

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2005, pp 235-253 from Springer

Abstract: Summary We propose a procedure to initialize the magnetic flux, possibly discontinuous, on a finite volume grid in an exactly solenoidal way. That is, a certain discrete divergence operator will vanish on each cell. Combined with a new locally divergence preserving numerical scheme we are able to conduct MHD simulations which have an exactly vanishing discrete divergence. In this paper we describe the new scheme and the initialization procedure and present the results of a simulation of a shock interaction with a magnetized cloud.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27170-3_19

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DOI: 10.1007/3-540-27170-8_19

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