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On Some Numerical Dissipation Schemes

Swanson, R.C. and Radespiel, R. and Turkel, E. (1998) On Some Numerical Dissipation Schemes. Journal of Computational Physics, 187 (147), pp. 518-544.

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Abstract

Several schemes for introducing an artificial dissipation into a central difference approximation to the Euler and Navier-Stokes equations are considered. The focus of the paper is on the convective upwind and split pressure (CUSP) scheme, which is designed to support single interior point discrete shock waves. This scheme is analyzed and compared in detail with scalar dissipation and matrix dissipation (MATD) schemes. Resolution capability is determined by solving subsonic, transonic, and hypersonic flow problems. A finite-volume discretization and a multistage time-stepping scheme with multigrid are used to compute solutions to the flow equations. Numerical solutions are also compared with either theoretical solutions or experimental data. For transonic airfoil flows the best accuracy on coarse meshes for aerodynamic coefficients is obtained with a simple MATD scheme. The coarse-grid accuracy for the original CUSP scheme is improved by modifying the limiter function used with the scheme, giving comparable accuracy to that obtained with the MATD scheme. The modifications reduce the background dissipation and provide control over the regions where the scheme can become first order.

Document Type:Article
Additional Information: LIDO-Berichtsjahr=1999,
Title:On Some Numerical Dissipation Schemes
Authors:
AuthorsInstitution or Email of Authors
Swanson, R.C.NASA Langley Research Center
Radespiel, R.UNSPECIFIED
Turkel, E.Tel-Aviv University
Date:1998
Journal or Publication Title:Journal of Computational Physics
Refereed publication:Yes
In ISI Web of Science:Yes
Volume:187
Page Range:pp. 518-544
Status:Published
Keywords:Euler equations, Navier-Stokes equations, numerical dissipation, limiter, CUSP, matrix dissipation, preconditioning
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W RP - Raumtransport
DLR - Research area:Aeronautics
DLR - Program:W RP - Raumtransport
DLR - Research theme (Project):W - Grundlagen Raumtransport - Anlagen und Messtechnik (old)
Location: Köln-Porz , Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Institut für Entwurfsaerodynamik
Deposited By: Claudia Grant
Deposited On:16 Sep 2005
Last Modified:14 Jan 2010 19:55

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