Comparison of several dissipation algorithms for central difference schemes | Zendy

R. C. Swanson | Zendy; Rolf Radespiel | Zendy; Eli Turkel | Zendy

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Comparison of several dissipation algorithms for central difference schemes

Author(s) -

R. C. Swanson,

Rolf Radespiel,

Eli Turkel

Publication year - 1997

Publication title -

14th computational fluid dynamics conference

Language(s) - English

Resource type - Conference proceedings

DOI - 10.2514/6.1997-1945

Subject(s) - transonic , discretization , airfoil , mathematics , multigrid method , euler equations , finite volume method , dissipation , aerodynamics , curvature , central differencing scheme , mathematical analysis , partial differential equation , geometry , mechanics , physics , finite element method , finite difference coefficient , mixed finite element method , thermodynamics

Several algorithms for introducing 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 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 results 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.

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