A central-difference scheme for a pure stream function formulation of incompressible viscous flow (Q2719265)
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scientific article; zbMATH DE number 1608925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A central-difference scheme for a pure stream function formulation of incompressible viscous flow |
scientific article; zbMATH DE number 1608925 |
Statements
21 June 2001
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incompressible Navier-Stokes equations
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advection of vorticity
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algebraic multigrid solver
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stream function
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biharmonic equation
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high-resolution central scheme
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high-Reynolds-number lid-driven cavity flows
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0.90040755
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0.8989576
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0.8951082
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0.87770236
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0.87692654
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0.87677675
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A central-difference scheme for a pure stream function formulation of incompressible viscous flow (English)
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The author presents a numerical scheme for incompressible viscous flows, formulated by using an equation for stream function. The corresponding biharmonic equation is discretized with a compact scheme and solved with an algebraic multigrid solver. The advection of vorticity is calculated with a high-resolution central scheme that remains stable and accurate even in the presence of large gradients. The accuracy and robustness of the method are demonstrated for high-Reynolds-number lid-driven cavity flows.
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