Hydrodynamics of limitedly steep wind waves (Q2759537)
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scientific article; zbMATH DE number 1681859
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hydrodynamics of limitedly steep wind waves |
scientific article; zbMATH DE number 1681859 |
Statements
12 December 2001
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wind waves
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ideal incompressible fluid
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nonlinear boundary-value problem
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finite amplitude waves
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small parameter
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numerical calculation
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Hydrodynamics of limitedly steep wind waves (English)
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The nonlinear boundary-value problem describing propagation of finite amplitude wind waves in ideal incompressible fluid is solved by so-called semi-inversion technique. The wave profile is assumed to be known while fields of velocity and hydrodynamic pressure are to be determined in the course of solution. Independent physical variables are replaced by fast phase, slow longitudinal coordinate and slow transverse coordinate and evolution time of wave group. A small parameter characterizing degree of modulation of wave group is introduced. In the result of solution, estimates for dynamics of motion of waves with small number of free parameters prescribing wave configuration, are obtained. Examples of numerical calculations are presented.
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