Water Waves
Water waves and Integrability
... shallow water, when a perturbative asymtotic expansion of the Euler’s equations is taken (to a certain order of smallness of the scale parameters), relations to certain integrable equations ...shallow water ...
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Dimension Reduced Model for Deep Water Waves
... shallow water. For deep water waves, the Hamiltonian formulation [10] [11] provides a nonlinear system for two two-dimensional field variables, name- ly surface elevation and potential at the ...
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Water waves generated by disturbances at an ice cover
... of water waves due to a prescribed initial displacement or impulse mostly concentrated at a point were discussed in treaties of Lamb [4] and Stoker [6] within the framework of the linearized theory of ...
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Quantum Mechanical and Optical Analogies in Surface Gravity Water Waves
... surface water gravity wave trains and quantum mechanical wavefunctions and electromagnetic pulses and optical ...hydrodynamic waves, these equations describe fairly accurately the evolution in space and ...
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Nonlinear diffraction of water waves by offshore stuctures
... Hence, water waves of large amplitude are of special interest in estimating wave forces on offshore structure or harbors... recent years, there has been considerable interest in the stud[r] ...
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Transmission of Water Waves under Multiple Vertical Thin Plates
... of water waves under vertical thin plates, ...oscillating water column wave energy converters, and so on, is a crucial feature that dominates the hydrodynamic performance of marine ...of water ...
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Quasi ALE finite element method for nonlinear water waves
... formulation, the computational mesh is fixed and the fluid moves relative to it (see, for example, [1] – [4]). Use of this formulation can handle, with relative ease, the large distortions of interfaces between two ...
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Aspects of the mathematical theory of water waves
... shallow water waves over a flat ...shallow water setting, the CH equation is a model equation where u{x, t) represents the horizontal velocity component of the fluid motion at a certain depth over a ...
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Small rigid floating bodies under the influence of water waves
... These assumptions apply to many applications such as the effect of water waves on small ice floes. Rumer, Crisman & Wake (4) derived a one-dimensional slope sliding model for ice transport in the Great ...
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CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES
... 2. MULTIPLE-TIME SCALE FORMALISM FOR WATER WAVES We consider two dimensional incompressible inviscid fluid in a constant gravitational field g acting in the negative z ∗ - direction. The space coordinates are ...
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Reflection of Water Waves by a Curved Wall
... surface water waves by a rigid curved wall, in deep water, is considered assuming linear ...of water wave potential is employed here to solve the problem, analytically, up to first ...
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Numerical simulation of water waves in reservoirs affecting evaporation
... 10 Of these methods, fixed covers have been most successful, with reductions up to 91% reported when used (Helfer et al. 2011). Fixed covers provide a physical barrier which obstructs the movement of water ...
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Conservation laws for shallow water waves on a sloping beach
... able to construct a correspondence between conservation laws and non-simple wave solutions of the homogeneous problem... Finally, we take up the non-homogeneous case corresponding to a s[r] ...
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Reflection and radiation of capillary-gravity water waves
... When capillarity is present, there is an extra term in the free-surface pressure condition which is proportional to the curvature of the free surface. For propagating waves in unbounded regions, the only effect of ...
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Dispersion relation for water waves with non constant vorticity
... Abstract. We derive the dispersion relation for linearized small-amplitude gravity waves for various choices of non-constant vorticity. To the best of our knowledge, this relation is only known explicitly in the ...
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Surface water waves due to an oscillatory wavemaker in the presence of surface tension
... In the presence of surface tension the steady state component rls of the free surface depression for fluid of both finite and infinite depth given by 4.8 and 5.4 respectively, represents[r] ...
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A plane vertical submerged barrier in surface water waves
... integral theorem in the fluid region using the known potential function for the corresponding scattering problem as given by Goswaml [6] to obtain the complex amplitudes of the radiated [r] ...
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Ocean swell within the kinetic equation for water waves
... Synthetic aperture radar (SAR) allows for a spatial res- olution of up to tens of meters (e.g., Ardhuin et al., 2010; Young et al., 2013). Satellite altimeters measure wave height averaged over a snapshot of a few square ...
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Shallow water waves in a rotating rectangular basin
... internal waves in rotating circular and rectangular ...nonlinear waves in a rotating ...gravity waves in a rotating open sea has been presented by Germain and Renouard ...
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Part I: Symmetry Breaking of Water Waves. Part II: On the Superharmonic Instability of Surface Water Waves
... -133- CHAPTER 2 An example of stability exchange in a Hamiltonian wave system 2.1 Introduction In a study of the stability of superharmonic disturbances on finite amplitude two dimension[r] ...
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