Volume-of-fluid methods for partial differential equations (Q2776708)
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scientific article; zbMATH DE number 1714807
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Volume-of-fluid methods for partial differential equations |
scientific article; zbMATH DE number 1714807 |
Statements
28 February 2002
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volume-of-fluid methods
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free boundary problems
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Poisson equation
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hyperbolic conservative laws
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moving boundary
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stability of methods
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consistency
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finite difference methods
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irregular boundaries
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elliptic and hyperbolic equations
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Volume-of-fluid methods for partial differential equations (English)
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From the conclusion: We present a theory for constructing finite difference methods usig volume-of-fluid representations of irregular boundaries. The key component is the systematic interpretation of the dependent variables as approximating the solution evaluated at the centers of rectangular grid cells. We mainly focus on issues surrounding the construction of stable and consistent discretizations of elliptic and hyperbolic equations.NEWLINENEWLINEFor the entire collection see [Zbl 0978.00036].
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