A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions (Q1375509)
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scientific article; zbMATH DE number 1100748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions |
scientific article; zbMATH DE number 1100748 |
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A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions (English)
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28 December 1998
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A novel pseudospectral scheme for the Navier-Stokes equations with two nonperiodic directions is proposed. An influence matrix technique is employed to elicit the a priori lacking boundary conditions for the vorticity. The spatial discretization is based on a two-dimensional Chebyshev expansion on a nonstaggered grid of collocation points. The time marching scheme is Adams-Bashforth for the advective term and Crank-Nicholson for the viscous term. Divergence-free flow fields are achieved within machine accuracy.
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pseudospectral scheme
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influence matrix technique
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Chebyshev expansion
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time marching scheme
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nonstaggered grid
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