UNSPECIFIED (2001) A staggered grid, Lagrangian-Eulerian remap code for 3-D MHD simulations. JOURNAL OF COMPUTATIONAL PHYSICS, 171 (1). pp. 151-181. ISSN 0021-9991

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Abstract

In this paper an approach to multidimensional magnetohydrodynamics (MI-ID) which correctly handles shocks but does not use an approximate Riemann solver is proposed. This approach is simple and is based on control volume averaging with a staggered grid. The method builds on the older and often overlooked technique of on each step taking a fully 3-D Lagrangian step and then conservatively remapping onto the original grid. At the remap step gradient limiters are applied so that the scheme is monotonicity-preserving. For Euler's equations this technique, combined with an appropriately staggered grid and Wilkins artificial viscosity, can give results comparable to those from approximate Riemann solvers. We show how this can be extended to include a magnetic field, maintaining the divergence-free condition and pressure positivity and then present numerical test results. Where possible a comparison with other shock capturing techniques is presented and the advantages and disadvantages of the proposed scheme are clearly explained. (C) 2001 Academic Press.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QC Physics
Journal or Publication Title:	JOURNAL OF COMPUTATIONAL PHYSICS
Publisher:	ACADEMIC PRESS INC
ISSN:	0021-9991
Date:	20 July 2001
Volume:	171
Number:	1
Number of Pages:	31
Page Range:	pp. 151-181
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11916

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