shallow-water waves
Shallow water waves in a rotating rectangular basin
... linear shallow water waves in the oceanography and fluid mechanics ...of waves, one is a family of the so-called Poincaré waves and the other is the Kelvin waves ...nonlinear ...
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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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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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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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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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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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Numerical study on the quantitative error of the Korteweg-de Vries equation for modelling random waves on large scale in shallow water
... Successful numerical studies on modeling the shallow water waves have been carried out. Some employed the phase-averaged models, such as SWAN, etc., which are very popular among the oceanographers ...
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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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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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chapter11,12,13,14waves+textbooknotes.docx
... Standing Waves—interference of two identical waves makes a vibration where the troughs and crests appear to be not ...when waves equal in wavelength and amplitude, travel in opposite directions and ...
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A hybrid model for large scale simulation of unsteady nonlinear waves
... breaking waves, the algorithm of BEM was later improved by Grilli, et ...arbitrary waves and complex bottom topography, as well as surface-piercing moving boundaries such as ...incident waves can be ...
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Numerical Simulation of Nonlinear Surface Gravity Waves Transformation under Shallow Water Conditions
... Article [5] concerns non-linear long wave numerical simulation in the water bodies with a gentle bottom. Shallow water non-linear dispersion model is viewed con- sidering the topography and fluid ...
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Resonant excitation of coastal Kelvin waves in the two-layer rotating shallow water model
... free waves can resonate with mean currents and thus excite trapped waveguide ...IG waves and the barotropic Kelvin waves in ...Kelvin waves via this resonance, is ...
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Physical Modelling vs. Numerical Modelling: Complementarity and Learning
... and waves, these processes have become the main factors that affect the safety of the construction and operation of bridge foundations and other structures in rivers, coastal and offshore environments ...
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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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Frequency-wavenumber spectrum of the free surface of shallow turbulent flows over a rough boundary
... the waves generated on the surface of a turbulent free surface ...gravity waves on the free surface, and that their dispersion relationship can be predicted by taking into account the vertical profile of ...
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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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Comparison study of a Pusherbarge system in shallow water, medium shallow water and deep water conditions
... ent water depth to ship’s draught ratios were performed, where ...(deep water), 1.5 (medium shallow water) and ...(shallow water). Water was drained from the tank in order ...
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Dynamics of an Idealized Fluid Model for Investigating Convective-scale Data Assimilation
... large. Shallow water type models attempt to bridge this ...between waves and vortical motions in rotating stratified fluids and have received attention in DA research for the ocean and atmosphere ...
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