Numerical dissipation of upwind schemes in low Mach flow

B. J.R. Thornber, D. Drikakis

Research output: Contribution to journalArticlepeer-review


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 - 20 Mar 2008
Externally publishedYes


  • Godunov
  • Low Mach
  • Multicomponent
  • Roe
  • Upwind


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