On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach (Q1262731)
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scientific article; zbMATH DE number 4124959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach |
scientific article; zbMATH DE number 4124959 |
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On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach (English)
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1989
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The coupling of hyperbolic and parabolic systems in a one-dimensional domain divided into two disjoint subdomains is considered. Suitable interface conditions are proposed which are based on a singular perturbation analysis. Two different interface conditions are presented according to whether the regularization procedure is variational or nonvariational. A spectral collocation method is proposed which yields an approximation to the given problem. This work is a preliminary step toward the analysis of the coupling between Euler and Navier-Stokes equations for compressible flow.
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Euler equation
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coupling of hyperbolic and parabolic systems
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interface conditions
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singular perturbation analysis
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regularization procedure
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spectral collocation method
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Navier-Stokes equations
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compressible flow
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