6533b851fe1ef96bd12aa248

RESEARCH PRODUCT

High order accurate shock capturing schemes for two-component Richtmyer-Meshkov instabilities in compressible magnetohydrodynamics

Antonio MarquinaSusana Serna

subject

Shock wavePhysicssymbols.namesakeClassical mechanicsMach numberTurbulencesymbolsCompressibilityPlasmaMechanicsMagnetohydrodynamicsAdiabatic processIdeal gas

description

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.

yearjournalcountryeditionlanguage
2011-06-14
http://www.scopus.com/inward/record.url?eid=2-s2.0-84880619350&partnerID=MN8TOARS