Numerical-analytical methods for solving problems of flows past obstacles under the surface of heavy fluid with generation of a soliton (Q2714081)
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scientific article; zbMATH DE number 1603341
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical-analytical methods for solving problems of flows past obstacles under the surface of heavy fluid with generation of a soliton |
scientific article; zbMATH DE number 1603341 |
Statements
10 June 2001
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plane symmetric flow
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free boundary
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ideal incompressible fluid
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Levi-Civita method
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soliton
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flow past dipole
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numerical-analytical method
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higher-order flow singularities
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Joukowski function
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conformal mapping
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flow past ellipsoidal half-cylinder
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collocation method
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Numerical-analytical methods for solving problems of flows past obstacles under the surface of heavy fluid with generation of a soliton (English)
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The authors study a plane symmetric flow of ideal incompressible fluid with free boundary around obstacles of finite size. The problem is solved by a numerical-analytical method based both on an analytical improved Levi-Civita method for the flow past a dipole, and on the collocation method for obtaining a numerical solution. A generalization of analytical method obtained by taking into account higher-order flow singularities makes it possible to solve complex flow past an ellipsoidal half-cylinder located at the channel bottom. Solutions are obtained for different semiaxes' ratios including limiting cases such a Stokes wave.
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