Finite-amplitude acoustic-gravity waves: exact solutions
We consider strongly nonlinear waves in fluids in a uniform gravity field, and demonstrate that an incompressible wave motion, in which pressure remains constant in each fluid parcel, is supported by compressible fluids with free and rigid boundaries. We present exact analytic solutions of nonlinear...
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| Veröffentlicht in: | Journal of fluid mechanics 2015-03, Vol.767, p.52-64 |
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| container_title | Journal of fluid mechanics |
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| creator | Godin, Oleg A. |
| description | We consider strongly nonlinear waves in fluids in a uniform gravity field, and demonstrate that an incompressible wave motion, in which pressure remains constant in each fluid parcel, is supported by compressible fluids with free and rigid boundaries. We present exact analytic solutions of nonlinear hydrodynamics equations which describe the incompressible wave motion. The solutions provide an extension of the Gerstner wave in an incompressible fluid with a free boundary to waves in compressible three-dimensionally inhomogeneous moving fluids such as oceans and planetary atmospheres. |
| doi_str_mv | 10.1017/jfm.2015.40 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0022-1120 |
| ispartof | Journal of fluid mechanics, 2015-03, Vol.767, p.52-64 |
| issn | 0022-1120 1469-7645 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1677905992 |
| source | Cambridge University Press Journals Complete |
| subjects | Compressibility Constants Exact solutions Fluid dynamics Fluid flow Fluid mechanics Fluids Gravity Gravity waves Hydrodynamics Incompressible flow Nonlinearity Oceans Propagation Wave motion |
| title | Finite-amplitude acoustic-gravity waves: exact solutions |
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