Propagating Stationary Surface Potential Waves in a Deep Ideal Fluid
A new exact solution of the problem for propagating stationary potential wave of an arbitrary amplitude in a deep ideal homogeneous fluid was constructed. Calculated wavy surface is represented by transcendental Lambert’s complex functions. For a physical interpretation of the results real linear co...
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| Veröffentlicht in: | Water resources 2018-09, Vol.45 (5), p.719-727 |
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| creator | Kistovich, A. V. Chashechkin, Yu. D. |
| description | A new exact solution of the problem for propagating stationary potential wave of an arbitrary amplitude in a deep ideal homogeneous fluid was constructed. Calculated wavy surface is represented by transcendental Lambert’s complex functions. For a physical interpretation of the results real linear combinations of the solutions were formed. The range of the wave steepness values, in which the real sum of constructed comprehensive solutions describes waves with smooth crests, is defined. In the limiting case of waves with small but finite amplitude as well as infinitesimal amplitude, the real combinations of the solutions are transferred in classical nonlinear and linear asymptotic Stokes expressions. Another real combination of constructed complex solutions describing waves with cusped crests do not fall within the range of conditions for the existence of stationary waves. |
| doi_str_mv | 10.1134/S0097807818050111 |
| format | Article |
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Another real combination of constructed complex solutions describing waves with cusped crests do not fall within the range of conditions for the existence of stationary waves.</description><identifier>ISSN: 0097-8078</identifier><identifier>EISSN: 1608-344X</identifier><identifier>DOI: 10.1134/S0097807818050111</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Amplitude ; Amplitudes ; Aquatic Pollution ; Boundary conditions ; Earth and Environmental Science ; Earth Sciences ; Fluid dynamics ; Gravitational waves ; Gravity ; Hydrogeology ; Hydrology/Water Resources ; Hydrophysical Processes ; Ideal fluids ; Laboratories ; Mathematical analysis ; Numerical analysis ; Slopes ; Solutions ; Standing waves ; Surface potential ; Velocity ; Waste Water Technology ; Water Management ; Water Pollution Control ; Wave propagation ; Wave slope ; Waves</subject><ispartof>Water resources, 2018-09, Vol.45 (5), p.719-727</ispartof><rights>Pleiades Publishing, Ltd. 2018</rights><rights>Water Resources is a copyright of Springer, (2018). 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| subjects | Amplitude Amplitudes Aquatic Pollution Boundary conditions Earth and Environmental Science Earth Sciences Fluid dynamics Gravitational waves Gravity Hydrogeology Hydrology/Water Resources Hydrophysical Processes Ideal fluids Laboratories Mathematical analysis Numerical analysis Slopes Solutions Standing waves Surface potential Velocity Waste Water Technology Water Management Water Pollution Control Wave propagation Wave slope Waves |
| title | Propagating Stationary Surface Potential Waves in a Deep Ideal Fluid |
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