Waves and shallow water
Two dimensional simulation of shallow water waves by Lagrangian block advection
... Waves in shallow water are computed by movlng blacks of water in the direction of the flow using a Lagrangian method.. The mars and momentum in thc displaced-and-deformed blocks after th[r] ...
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Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow Water Conditions
... gravity waves under shallow water conditions has a long ...gravity waves under shal- low water conditions are described with shallow-water ...on shallow ...
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Transformation of Nonlinear Surface Gravity Waves under Shallow Water Conditions
... tide waves and G. Stokes described waves of finite am- plitude with this equation and this method ...of shallow-water equation without dispersion and damping appears to be Riemannian ...
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CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES
... In this work, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained a set of Korteweg- de Vries equations as the ...
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Numerical study on the quantitative error of the Korteweg-de Vries equation for modelling random waves on large scale in shallow water
... random waves on a large-spatial and long-temporal ...in shallow water using the KdV equation [51, 52] provided useful information for understanding the behaviour of shallow water random ...
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Soliton interaction as a possible model for extreme waves in shallow water
... nonlinear shallow water gravity waves is the Kadomtsev- Petviashvili (KP) equation (Kadomtsev and Petviashvili, ...the water elevation at the intersection point of two solitons may exceed that ...
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On the feasibility of the use of wind SAR to downscale waves on shallow water
... Abstract. In recent years, wave reanalyses have become pop- ular as a powerful source of information for wave climate re- search and engineering applications. These wave reanalyses provide continuous time series of ...
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Resonant excitation of coastal Kelvin waves in the two-layer rotating shallow water model
... Kelvin waves by inertia–gravity waves was shown to exist in the simplest rotating shallow water model with an idealized straight ...rotating shallow water model allows for new ...
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Balance, gravity waves and jets in turbulent shallow water flows
... the shallow water equations since these are the simplest set of equations that permit inertia-gravity ...gravity waves, which the flow, if initialised within, will potentially remain in for all ...
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Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
... In this paper, we use the He’s variational iteration method (VIM) to obtain the solution of two considered equations above for shallow water waves. The varia- tional iteration method (VIM) [4-10] ...
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Inertia–gravity waves generated by near balanced flow in 2-layer shallow water turbulence on the -plane
... one-layer shallow-water turbu- lence on the f-plane (some twenty years ago, ...gravity waves trapped in vortical struc- tures are subject to strain, which reduces their wave length (Plougonven and ...
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Analytical Solution of Two Extended Model Equations for Shallow Water Waves By Adomian’S Decomposition Method
... In this paper, we use the Adomian’s decomposition method (ADM) to obtain the solution of two considered equations above for shallow water waves. Large classes of linear and nonlinear differential ...
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Shallow water waves in a rotating rectangular basin
... 1. Introduction. Rotating fluids is an important topic in both fluid mechanics and oceanography, which attracted numerous scientists and researchers to investigate internal waves, surface waves, tidal ...
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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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Local well-posedness and persistence properties for a model containing both Camassa-Holm and Novikov equation
... where the variable u(t, x) represents the fluid velocity at time t and in the spatial direc- tion x, and k is a nonnegative parameter related to the critical shallow water speed []. The Camassa-Holm ...
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Shallow-water models for a vibrating fluid
... It is well-known that high frequency vibrations of a tank containing a fluid with free surface or two superimposed immiscible fluids can lead to very interesting and non-trivial effects. For example, the Rayleigh-Taylor ...
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Stability of solitary traveling waves of moderate amplitude with non-zero boundary
... traveling waves with non-zero boundary of an equation describing the free surface waves of moderate amplitude in the shallow water ...solitary waves with non-zero boundary to the same ...
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wave generation in depth averaged, shallow water models, they have not seen the same level of adoption
... Target wave packet for the impulse wave maker to produce in the case study: Surface elevation (a), c)) and spectral density (b), d)) for the shallow and deep water case.. Regular waves[r] ...
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The local well-posedness and stability to a nonlinear generalized Degasperis-Procesi equation
... In fact, the KdV equation modeling weakly nonlinear unidirectional long waves and the CH equation modeling the unidirectional shallow water waves have been extensively in- vestigated (see ...
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Orbital Stability of Peakons for a Generalized Camassa Holm Equation
... from shallow water waves theory [1] [2] and provides a wave breaking model for a large class of solutions in which the wave slope blows up in a finite time while the wave amplitude remains bounded ...
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