Calculation of Plunging Breakers with A Fully-Implicit Adaptive-Grid Method

A new algorithm for simulating the plunging breaker is described. The approach is a fully-implicit multigrid scheme which uses the generalized artificial compressibility approach to couple the incompressible Euler equation and continuity equation in a hyperbolic manner. Several techniques for convergence acceleration are also implemented. The kinematic boundary is formulated by the Eulerian description which can easily deal with the open boundary. A grid adaptation strategy is used to capture the wave motions as well as the wavemaker's oscillations. Comparisons are made between the numerical solutions and the tank measurements for the plunging breaker generated by a piston-type wavemaker. Excellent agreement in the wave profile up to and including overturning validates the new method.

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