A novel numerical flux for the 3D Euler equations with general equation of state

Eleuterio F. Toro, Cristóbal E. Castro, Lee Bok Jik

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

Here we extend the flux vector splitting approach recently proposed in (E F Toro and M E Vázquez-Cendón. Flux splitting schemes for the Euler equations. Computers and Fluids. Vol. 70, Pages 1-12, 2012). The scheme was originally presented for the 1D Euler equations for ideal gases and its extension presented in this paper is threefold: (i) we solve the three-dimensional Euler equations on general meshes; (ii) we use a general equation of state; and (iii) we achieve high order of accuracy in both space and time through application of the semi-discrete ADER methodology on general meshes. The resulting methods are systematically assessed for accuracy, robustness and efficiency on a carefully selected suite of test problems. Formal high accuracy is assessed through convergence rates studies for schemes of up to 4th order of accuracy in both space and time on unstructured meshes.
Original languageEnglish (US)
Pages (from-to)80-94
Number of pages15
JournalJournal of Computational Physics
Volume303
DOIs
StatePublished - Oct 2 2015

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

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