Simple continuous pressure elements for two- and three-dimensional incompressible flows (Q1086070)
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scientific article; zbMATH DE number 3984797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simple continuous pressure elements for two- and three-dimensional incompressible flows |
scientific article; zbMATH DE number 3984797 |
Statements
Simple continuous pressure elements for two- and three-dimensional incompressible flows (English)
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1987
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A systematic numerical experiment has been carried out on various continuous pressure elements, for studying incompressible flows in two dimensions of space. One element appeared sufficiently accurate and efficient and the most susceptible to be generalized to the three- dimensional case. This has been done effectively in an efficient way using the penalty method and an approximate static condensation coupled with the Newton- Raphson method for the nonlinear case and without recourse to any numerical quadrature. Three-dimensional driven cavity and duct flows have been presented and compared with results from other references.
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continuous pressure elements
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incompressible flows
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two dimensions of space
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penalty method
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approximate static condensation
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Newton-Raphson method
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numerical quadrature
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Three-dimensional driven cavity
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duct flows
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