Year: 2002
Author: Ping-Wen Zhang, Xiao-Ming Zheng
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 391–412
Abstract
The motion of surface waves under the effect of bottom is a very interesting and challenging phenomenon in the nature, we use boundary integral method to compute and analyze this problem. In the linear analysis, the linearized equations have bounded error increase under some compatible conditions. This contributes to the cancellation of instable Kelvin-Helmholtz terms. Under the effect of bottom, the existence of equations is hard to determine, but given some limitations it proves true. These limitations are that the swing of interfaces should be small enough, and the distance between surface and bottom should be large enough. In order to maintain the stability of computation, some compatible relationship must be satisfied like that of [5]. In the numerical examples, the simulation of standing waves and breaking waves are calculated. And in the case of shallow bottom, we found that the behavior of waves is rather singular.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2002-JCM-8927
Journal of Computational Mathematics, Vol. 20 (2002), Iss. 4 : pp. 391–412
Published online: 2002-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Fixed bottom 2D surface wave Boundary integral method Linear analysis Energy analysis.