On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow

X. Y. Hu, N. A. Adams, G. Iaccarino

Research output: Contribution to journalArticlepeer-review

96 Scopus citations

Abstract

In this work, the HLLC Riemann solver, which is much more robust, simpler and faster than iterative Riemann solvers, is extended to obtain interface conditions in sharp-interface methods for compressible multi-fluid flows. For interactions with general equations of state and material interfaces, a new generalized Roe average is proposed. For single-phase interactions, this new Roe average does not introduce artificial states and satisfies the U-property exactly. For interactions at material interfaces, the U-property is satisfied by introducing ghost states for the internal energy. A number of numerical tests suggest that the proposed Riemann solver is suitable for general equations of state and has an accuracy comparable to iterative Riemann solvers, while being significantly more robust and efficient.

Original languageEnglish
Pages (from-to)6572-6589
Number of pages18
JournalJournal of Computational Physics
Volume228
Issue number17
DOIs
StatePublished - 20 Sep 2009

Keywords

  • Compressible flow
  • Multi-fluid flow
  • Riemann solver
  • Roe approximation

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