A fast method for fully nonlinear water-wave computations

摘要: A fast computational method for fully nonlinear non-overturning water waves is derived in two and three dimensions. corresponding time-stepping scheme developed the two-dimensional case. The essential part of a converging iterative solution procedure Laplace equation. One obtained by Fourier transform, while another highly consists integrals with kernels that decay quickly space. number operations required asymptotically O(N logN), where N nodes at free surface. While any accuracy computations achieved continued iteration equations, one found to be sucient practical computations, maintaining high accuracy. resulting explicit approximation tested versions. Simulations wave elds slope even up about unity compare very well reference computations. numerical formulated such way aliasing terms are partially or completely avoided.