Applications of boundary integral equation methods for two‐dimensional non‐linear water wave problems

On the basis of the integral equation approach, numerical algorithms for solving non-linear water wave problem are presented. The free surface flow is assumed to be irrotational. Two different Green functions are used in the integral equations. The non-linear free surface boundary conditions are treated by a time-stepping Lagrangian technique. Several numerical examples are given, including permanent periodic waves, overturning progressive waves, breaking standing waves and sloshing problems.

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