A method to simulate linear stability of impulsively accelerated density interfaces in ideal-MHD and gas dynamics

Ravindra Samtaney*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We present a numerical method to solve the linear stability of impulsively accelerated density interfaces in two dimensions such as those arising in the Richtmyer-Meshkov instability. The method uses an Eulerian approach, and is based on an upwind method to compute the temporally evolving base state and a flux vector splitting method for the perturbations. The method is applicable to either gas dynamics or magnetohydrodynamics. Numerical examples are presented for cases in which a hydrodynamic shock interacts with a single or double density interface, and a doubly shocked single density interface. Convergence tests show that the method is spatially second-order accurate for smooth flows, and between first and second-order accurate for flows with shocks.

Original languageEnglish (US)
Pages (from-to)6773-6783
Number of pages11
JournalJournal of Computational Physics
Volume228
Issue number18
DOIs
StatePublished - Oct 1 2009

Keywords

  • Numerical linear stability
  • Richtmyer-Meshkov
  • Upwind method

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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