On approximation properties of a discrete model of incompressible fluid (Q2773658)
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scientific article; zbMATH DE number 1710278
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On approximation properties of a discrete model of incompressible fluid |
scientific article; zbMATH DE number 1710278 |
Statements
24 February 2002
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discrete model
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weak approximation
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strong approximation
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momentum equation
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particle method
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discrete incompressibility condition
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On approximation properties of a discrete model of incompressible fluid (English)
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The authors propose a discrete model for approximation of equations of fluid dynamics. The model is a simplified version of particle method for incompressible fluids. It is shown that (i) the momentum equation can be approximated in the weak sense if the discrete incompressibility condition is imposed only at nodes of an appropriate grid, and (ii) the strong approximation can be obtained if the discrete incompressibility condition is satisfied for each particle.
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