Numerical dissipation of upwind schemes in low Mach flow

B.J.R. Thornber; D. Drikakis

doi:10.1002/fld.1628

Numerical dissipation of upwind schemes in low Mach flow

B.J.R. Thornber
, D. Drikakis

School of Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

60 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.

Original language	English
Pages (from-to)	1535-1541
Number of pages	7
Journal	International Journal for Numerical Methods in Fluids
Volume	56
Issue number	8
DOIs	https://doi.org/10.1002/fld.1628
Publication status	Published - 20 Mar 2008

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title = "Numerical dissipation of upwind schemes in low Mach flow",

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. ",

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AU - Drikakis, D.

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AB - 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.

U2 - 10.1002/fld.1628

DO - 10.1002/fld.1628

M3 - Article

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SP - 1535

EP - 1541

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 8

ER -

Numerical dissipation of upwind schemes in low Mach flow

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