Finite element analysis of the stability of fluid motions (Q1107386)
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scientific article; zbMATH DE number 4064653
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite element analysis of the stability of fluid motions |
scientific article; zbMATH DE number 4064653 |
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Finite element analysis of the stability of fluid motions (English)
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1988
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The linear and global theories of stability of buoyancy-driven flows are reviewed, and corresponding eigenvalue problems whose eigenvalues give critical values of Rayleigh number are formulated in variational form. Penalty-finite element approximations of these problems are constructed. After a discussion of the properties of the solutions, the formulation is applied to the problem of stability of a container of fluid containing internal heat sources and heated from below.
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global theories of stability
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buoyancy-driven flows
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eigenvalue problems
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Penalty-finite element approximations
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