Hyperbolic GLM Scheme for Elliptic Constraints in Computational Electromagnetics and MHD

Y.J. Lee (), R. Schneider (), C.-D. Munz () and F. Kemm ()
Additional contact information
Y.J. Lee: Universität Stuttgart, Institut für Aerodynamik und Gasdynamik
R. Schneider: Institut für Hochleistungsimpuls- und Mikrowellentechnik, Forschungszentrum Karlsruhe
C.-D. Munz: Universität Stuttgart, Institut für Aerodynamik und Gasdynamik
F. Kemm: Universität Stuttgart, Institut für Aerodynamik und Gasdynamik

A chapter in Analysis and Numerics for Conservation Laws, 2005, pp 385-404 from Springer

Abstract: Summary The charge conservation laws in general are not strictly obeyed in computational electromagnetics and Magnetohydrodynamics (MHD), due to the presence of various types of numerical errors. In this paper, a field theoretical method for the treatment of the often violated charge conservation laws in computational electrodynamics and MHD has been investigated, which reduces to the well-known hyperbolic Generalized Lagrange Multplier (GLM) scheme under particular constraints. The central idea of our divergence correction scheme is the implementation of the physically consistent counter terms to Maxwell and MHD equations, for the restoration of the charge conservation laws. The underlying idea has been verified by numerical experiments for Maxwell-Vlasov and shallow water MHD systems.

Keywords: Maxwell Equation; Magnetic Charge; Lorentz Symmetry; Counter Term; Divergence Constraint (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27907-5_17

Ordering information: This item can be ordered from
http://www.springer.com/9783540279075

DOI: 10.1007/3-540-27907-5_17

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().