High order accurate shock capturing schemes for two-component Richtmyer-Meshkov instabilities in compressible magnetohydrodynamics
Serna, Susana (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Marquina, Antonio (Universitat de València. Departament de Matemàtiques)

Date:	2011
Abstract:	We design a conservative and entropy satisfying numerical scheme to perform numerical simulations of two component Richtmyer-Meshkov (RM) instabilities in compressible magnetohydrodynamics (MHD). We first formulate a conservative model of a two-component compressible MHD fluid ruled under two ideal gases with different adiabatic exponents. The formulation includes a level set function that allows to evolve the two components of the plasma in a conservative and consistent way. We present a set of examples including two-component Riemann problems and high Mach shock wave interactions with entropy contact waves that validate the high order accurate numerical scheme. We observe that turbulent regimes are completely developed in different examples where shocks, contacts and rarefactions waves propagate with correct speed.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03597 Ministerio de Ciencia e Innovación MTM2008-06349-C03-03 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-0345
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Capítol de llibre ; recerca ; Versió acceptada per publicar
Published in:	20th AIAA Computational Fluid Dynamics Conference, 2011, p. 1-11, ISBN 9781624101489

DOI: 10.2514/6.2011-3688

Postprint 11 p, 478.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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