The stability and implementation of implicit schemes for Stokes's equations (Q1309064)
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scientific article; zbMATH DE number 468698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The stability and implementation of implicit schemes for Stokes's equations |
scientific article; zbMATH DE number 468698 |
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The stability and implementation of implicit schemes for Stokes's equations (English)
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3 February 1994
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A transient vorticity-stream function formulation of the Stokes equations is considered. The standard finite difference approximation with Tom's boundary conditions is studied using matrix stability analysis. It is shown that the implicit schemes are unconditionally stable. Iterative algorithms based on alternating directions for solving the corresponding algebraic systems are proposed and studied.
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iterative algorithms
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vorticity-stream function
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Stokes equations
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finite difference
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stability
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implicit schemes
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