Computation of Finite‐Amplitude Dispersive Waves
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113, Issue 4
Abstract
An explicit finite element model for nonlinear dispersive waves is developed and applied to problems in one and two space dimensions. The proposed method uses linear chapeau functions for interpolation and is very simple to formulate and inexpensive to execute compared to most existing models. The model is sufficiently accurate so that the cumulative effect of numerical errors does not affect the results even at very long times of computation. The method is applied to the computation of solitary waves of various amplitudes and undular bores propagating through two‐dimensional channel transitions. The proposed scheme is found to be equally accurate with the best available methods and even superior in eliminating spurious oscillatory tails often encountered near computed nonlinear dispersive waves.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 113 • Issue 4 • July 1987
Pages: 327 - 346
Copyright
Copyright © 1987 ASCE.
History
Published online: Jul 1, 1987
Published in print: Jul 1987
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