E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

An E-CUSP (energy-convective upwind and split pressure) scheme is developed to solve the equations of magnetohydrodynamics. Fifth order WENO reconstructions are employed to calculate the fluxes in order to achieve high order spacial accuracy. A characteristic speed of sound by averaging the fast wave speed and the acoustic speed of sound is suggested to evaluate the Mach number, which will yield robust and accurate solutions. The numerical experiments have demonstrated the accuracy and the capability of the new scheme to capture complex interactions of multiple shocks and vortices.

Original languageEnglish
Pages (from-to)6233-6247
Number of pages15
JournalJournal of Computational Physics
Volume231
Issue number19
DOIs
StatePublished - Aug 1 2012

Fingerprint

Acoustic wave velocity
Magnetohydrodynamics
magnetohydrodynamics
acoustics
Mach number
Vortex flow
Acoustics
Fluxes
energy
shock
vortices
Experiments
interactions

Keywords

  • Hypersonic
  • MHD
  • Shocks

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy (miscellaneous)

Cite this

E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme. / Shen, Yiqing; Zha, GeCheng; Huerta, Manuel.

In: Journal of Computational Physics, Vol. 231, No. 19, 01.08.2012, p. 6233-6247.

Research output: Contribution to journalArticle

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