A numerical stability analysis for the two-dimensional incompressible Euler equations (Q1107397)
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scientific article; zbMATH DE number 4064686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical stability analysis for the two-dimensional incompressible Euler equations |
scientific article; zbMATH DE number 4064686 |
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A numerical stability analysis for the two-dimensional incompressible Euler equations (English)
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1988
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A normal mode analysis is used to determine the stability of a set of mixed hyperbolic/elliptic equations. The analysis is illustrated for a finite difference solution of the two-dimensional incompressible Euler equations on a rotating reference frame. The normal modes have a boundary layer structure which simplifies the analysis. One unstable and two stable sets of boundary conditions are analysed and the analysis results are confirmed with numerical experiments.
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two-dimensional nondivergent model of ocean circulation
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normal mode analysis
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stability of a set of mixed hyperbolic/elliptic equations
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finite difference solution
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two-dimensional incompressible Euler equations
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rotating reference frame
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0.9138063
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0.91251963
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0.9008862
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0.8979258
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0.8973551
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0.8966302
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