NUMERICAL SIMULATIONS OF BREAKING SOLITARY WAVES

numerical simulations of spilling breaking waves

Numerical Experiments on the Breaking of Solitary Internal Waves over a Slope–Shelf Topography

A theoretical study of the transformation of large amplitude internal solitary waves (ISW) of permanent form over a slope–shelf topography is considered using as basis the Reynolds equations. The vertical fluid stratification, amplitudes of the propagating ISWs, and the bottom parameters were taken close to those observed in the Andaman and Sulu Seas. The problem was solved numerically. It was ...

Intrinsic Breaking of Internal Solitary Waves in a Deep Lake

Based on simulations with the Dubreil-Jacotin-Long (DJL) equation, the limiting amplitude and the breaking mechanisms of internal solitary waves of depression (ISWs) are predicted for different background stratifications. These theoretical predictions are compared to the amplitude and the stability of the leading internal solitary waves of more than 200 trains of ISWs observed in the centre of ...

Breaking criterion and characteristics for solitary waves on slopes

Shoaling and breaking of solitary waves is computed on slopes 1:100 to 1:8 using an experimentally validated fully nonlinear wave model based on potential flow equations. Characteristics of waves are computed at and beyond the breaking point, and geometric self-similarities of breakers are discussed as a function of wave height and bottom slope. No wave breaks for slopes steeper than 12 . A bre...

Numerical approximation of solitary waves of the Benjamin equation

This paper presents several numerical techniques to generate solitary-wave profiles of the Benjamin equation. The formulation and implementation of the methods focus on the approximation of the nonlocal term and the use of numerical continuation algorithms. For solving the attendant nonlinear systems, a comparative study of the performance of such algorithms is made. The paper also explores the...