Numerical dissipation of upwind schemes in low Mach flow

B.J.R. Thornber, D. Drikakis

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

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.
LanguageEnglish
Pages1535-1541
Number of pages7
JournalInternational Journal for Numerical Methods in Fluids
Volume56
Issue number8
DOIs
Publication statusPublished - 11 Oct 2007

Fingerprint

Upwind Scheme
Mach number
Dissipation
Kelvin-Helmholtz Instability
Compressible flow
Compressible Flow
Single Mode
Kinetic energy
Excess
Scaling
Simulation

Keywords

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

Cite this

Thornber, B.J.R. ; Drikakis, D. / Numerical dissipation of upwind schemes in low Mach flow. In: International Journal for Numerical Methods in Fluids . 2007 ; Vol. 56, No. 8. pp. 1535-1541.
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Numerical dissipation of upwind schemes in low Mach flow. / Thornber, B.J.R.; Drikakis, D.

In: International Journal for Numerical Methods in Fluids , Vol. 56, No. 8, 11.10.2007, p. 1535-1541.

Research output: Contribution to journalArticle

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