A flux-limited numerical method for solving the MHD equations to stimulate propulsive plasma flow

K. Sankaran, Luigi Martinelli, S. C. Jardin, Edgar Yazid Choueiri

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

For numerical simulations to be effective tools in plasma propulsion research, a high-order accurate solver that captures MHD shocks monotonically and works reliably for strong magnetic fields is needed. For this purpose, a characteristics-based scheme for the MHD equations, with flux limiters to improve spatial accuracy, has been developed. In this method, the symmetric form of the MHD equations, accounting for waves propagating in all directions, are solved. The required eigensystem of axisymmetric MHD equations, with appropriate normalization, is presented. This scheme was validated with unsteady (Riemann problem) and force-free equilibrium (Taylor state) test cases, as well as with measured current density patterns in a magnetoplasmadynamic thruster.

Original languageEnglish (US)
Pages (from-to)1415-1432
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Volume53
Issue number6
DOIs
StatePublished - Feb 28 2002

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Keywords

  • Characteristics splitting
  • Local extremum diminishing schemes
  • MHD solvers
  • Plasma propulsion

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