The Generation And Propagation Of Transient Long-crested Surface Waves Using A Waveform Relaxation Method
Free (open access)
W. Parsons & R. E. Baddour
We are studying numerically the problem of generation and propagation of gravity long-crested waves in a tank of horizontal finite extent, of infinite and finite depths. A number of models are considered under a variety of conditions. If certain assumptions are made about the behavior of the potential with depth, we need only solve Laplace's equation near the horizontal still water level. Furthermore, this same assumption can be employed to perform a waveform relaxation algorithm to decouple the discrete Laplacian along dimensional lines, thereby reducing it's computation over this domain. These ideas are extended to the infinite depth case. A deterministic wave-maker and a numerical beach are included in these models.