Two-Dimensional Navier-Stokes Simulation of Breaking Waves

Nonlinear Sciences – Cellular Automata and Lattice Gases

Scientific paper

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10 pages and 3 postscript figures. Animation available at http://www.lmm.jussieu.fr/Animations.html . Full resolution .gif fig

Scientific paper

Numerical simulations describing plunging breakers including the splash-up phenomenon are presented. The motion is governed by the classical, incompressible, two-dimensional Navier-Stokes equation. The numerical modelling of this two-phase flow is based on a piecewise linear version of the volume of fluid method. Preliminary results concerning the time evolution of the liquid-gas interface and the vorticity field are given for short waves, showing how an initial steep wave undergoes breaking and successive splash-up cycles.

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