Gravity waves under nonuniform pressure over a free surface. Exact solutions
Plane periodic oscillations of an infinitely deep fluid are studied in the case of a nonuniform pressure distribution over its free surface. The fluid flow is governed by an exact solution of the Euler equations in the Lagrangian variables. The dynamics of an oscillating standing soliton are describ...
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| Veröffentlicht in: | Fluid dynamics 2013-09, Vol.48 (5), p.679-686 |
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| container_title | Fluid dynamics |
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| creator | Abrashkin, A. A. Solov’ev, A. G. |
| description | Plane periodic oscillations of an infinitely deep fluid are studied in the case of a nonuniform pressure distribution over its free surface. The fluid flow is governed by an exact solution of the Euler equations in the Lagrangian variables. The dynamics of an oscillating standing soliton are described, together with the scenario of the soliton evolution and the birth of a wave of an anomalously large amplitude against the background of the homogeneous Gerstner undulation (freak wave model). All the flows are nonuniformly vortical. |
| doi_str_mv | 10.1134/S0015462813050116 |
| format | Article |
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| language | eng |
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| subjects | Classical and Continuum Physics Classical Mechanics Computational fluid dynamics Engineering Fluid Dynamics Exact solutions Fluid flow Fluid- and Aerodynamics Fluids Mathematical analysis Mathematical models Nonuniform Physics Physics and Astronomy Solitons |
| title | Gravity waves under nonuniform pressure over a free surface. Exact solutions |
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