Artificial dissipation and central difference schemes for the euler and Navier—Stokes equations

R. C. Swanson, Eli Turkel

Research output: Contribution to conferencePaperpeer-review

41 Scopus citations

Abstract

An artificial dissipation model, including boundary treatment, that is employed in many central difference schemes for solving the Euler and Navier-Stokes equations is discussed. Modifications of this model such as the eigenvalue scaling suggested by upwind differencing are examined. Multistage time stepping schemes with and without a multigrid method are used to investigate the effects of changes in the dissipation model on accuracy and convergence. Improved accuracy for inviscid and viscous airfoil flows is obtained with the modified eigenvalue scaling. Slower convergence rates are experienced with the multigrid method using such scaling. The rate of convergence is improved by applying a dissipation scaling function that depends on mesh cell aspect ratio.

Original languageEnglish
Pages55-69
Number of pages15
DOIs
StatePublished - 1987
Event8th Computational Fluid Dynamics Conference, 1987 - Honolulu, United States
Duration: 9 Jun 198711 Jun 1987

Conference

Conference8th Computational Fluid Dynamics Conference, 1987
Country/TerritoryUnited States
CityHonolulu
Period9/06/8711/06/87

Funding

FundersFunder number
Insitute for Computer Applications in Science and Engineering
National Aeronautics and Space AdministrationNAS1-18107
Langley Research Center

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