Year: 2016
Author: Magnar Bjørkavåg, Henrik Kalisch, Zahra Khorsand, Dimitrios Mitsotakis
Journal of Mathematical Study, Vol. 49 (2016), Iss. 3 : pp. 221–237
Abstract
In this paper, we propose a spectral projection of a regularized Boussinesq
system for wave propagation on the surface of a fluid. The spectral method is based
on the use of Legendre polynomials, and is able to handle time-dependent Dirichlet
boundary conditions with spectral accuracy.
The algorithm is applied to the study of undular bores, and in particular to the onset
of wave breaking connected with undular bores. As proposed in [2], an improved
version of the breaking criterion recently introduced in [5] is used. This tightened
breaking criterion together with a careful choice of the relaxation parameter yields
rather accurate predictions of the onset of breaking in the leading wave of an undular
bore.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v49n3.16.02
Journal of Mathematical Study, Vol. 49 (2016), Iss. 3 : pp. 221–237
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Boussinesq system Legendre projection undular bore wave breaking boundary conditions spectral accuracy.