COMBINED REFRACTION-DIFFRACTION OF NONLINEAR WAVES IN SHALLOW WATER

Nonlinear refraction-diffraction of waves in shallow water

The parabolic approximation is developed to study the combined refraction/diffraction of weakly nonlinear shallow-water waves. Two methods of approach are used. In the first method Boussinesq equations are used to derive evolution equations for spectral-wave components in a slowly varying two-dimensional domain. The second method modifies the K-P equation (Kadomtsev & Petviashvili 1970) to incl...

numerical analysis of combined refraction and diffraction of waves

refraction and diffraction combination of waves, is very important and applicable problem in coastal engineering (e.g. for designing break - water). however, formulation of this phenomen and numerical solution is very difficult. in this study, a numerical algorithm based on the mild slop sea bed theory is presented to obtain the appropriate governing equations of combined refraction diffraction...

Nonlinear edge waves and shallow-water theory

On Nonlinear Water Waves in a Channel

Nonlinear Diffraction of Water Waves by Offshore Structures

in cylindrical polar coordinates is derived. This is followed by a review of the current knowledge on analytical theories and numerical treatments of nonlinear diffraction of water waves by offshore cylindrical structures. A brief discussion is made on water waves incident on a circular harbor with a narrow gap. Special emphasis is given to the resonance phenomenon associated with this problem....