On vector potential-vorticity methods for incompressible flow problems (Q1073665)
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scientific article; zbMATH DE number 3945654
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On vector potential-vorticity methods for incompressible flow problems |
scientific article; zbMATH DE number 3945654 |
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On vector potential-vorticity methods for incompressible flow problems (English)
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1986
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The vector and scalar potential formulation for three-dimensional laminar incompressible flow is examined. In problems with through-flow, it is shown that the scalar potential can introduce a spurious discontinuity into the boundary conditions. The result is unacceptable numerical errors. This is illustrated using, for simplicity, two-dimensional Stokes flows. Alternative vector potential-vorticity formulations which eliminate this difficulty are considered.
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streamfunction-vorticity method
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global continuity
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sharp corner with through-flow
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scalar potential formulation
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three-dimensional laminar incompressible flow
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spurious discontinuity
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boundary conditions
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numerical errors
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two-dimensional Stokes flows
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vector potential- vorticity formulations
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