The immersed boundary method for fluid-structure interactions: mathematical formulation and numerical approximation (Q2869754)
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scientific article; zbMATH DE number 6242950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The immersed boundary method for fluid-structure interactions: mathematical formulation and numerical approximation |
scientific article; zbMATH DE number 6242950 |
Statements
3 January 2014
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Navier-Stokes equations
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finite element method
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mass conservation
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fictitious domain method
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The immersed boundary method for fluid-structure interactions: mathematical formulation and numerical approximation (English)
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The author uses the immersed boundary method for discretization of Navier-Stokes equations. In particular, the finite element formulation of the immersed boundary method employs some special finite element spaces in order to guarantee the mass conservation. In a unified setting the author considers two- and three-dimensional problems. Some links to the fictitious domain method are presented. The presented numerical experiments confirm the theoretical method.
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