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Efficient low dissipative high order schemes for multiscale MHD flows, II: Minimization of del center dot B numerical error
KTH, School of Computer Science and Communication (CSC), Numerical Analysis and Computer Science, NADA.
2006 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 29, no 1, 115-164 p.Article in journal (Refereed) Published
Abstract [en]

An adaptive numerical dissipation control in a class of high order filter methods for compressible MHD equations is systematically discussed. The filter schemes consist of a divergence-free preserving high order spatial base scheme with a filter approach which can be divergence-free preserving depending on the type of filter operator being used, the method of applying the filter step, and the type of flow problem to be considered. Some of these filter variants provide a natural and efficient way for the minimization of the divergence of the magnetic field (del center dot B) numerical error in the sense that commonly used divergence cleaning is not required. Numerical experiments presented emphasize the performance of the del center dot B numerical error. Many levels of grid refinement and detailed comparison of the filter methods with several commonly used compressible MHD shock-capturing schemes will be illustrated.

Place, publisher, year, edition, pages
2006. Vol. 29, no 1, 115-164 p.
Keyword [en]
magnetohydrodynamics, difference scheme, high order of accuracy, shock capturing, numerical divergence
National Category
Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-37686DOI: 10.1007/s10915-005-9004-5ISI: 000241554000005Scopus ID: 2-s2.0-33750344437OAI: oai:DiVA.org:kth-37686DiVA: diva2:434797
Available from: 2011-08-16 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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