Numerical dissipation of upwind schemes in low Mach flow

B.J.R. Thornber, D. Drikakis

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36 Citations (Scopus)


This paper presents a modified Roe scheme for the simulation of multicomponent compressible flows with low Mach features. This modification reduces the excess dissipation of kinetic energy in Godunov-type methods at low Mach. The modification is shown to work effectively to Ma=0.0002 using a single-mode Kelvin–Helmholtz instability as a test case, and reproduces the correct Ma2 incompressible pressure scaling. Computational expense is negligible.
Original languageEnglish
Pages (from-to)1535-1541
Number of pages7
JournalInternational Journal for Numerical Methods in Fluids
Issue number8
Publication statusPublished - 11 Oct 2007


  • Godunov methods
  • upwind
  • multicomponent
  • low Mach features
  • Roe scheme


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