@Article{JMS-49-3,
author = {Magnar, Bjørkavåg and Kalisch, Henrik and Zahra, Khorsand and Mitsotakis, Dimitrios},
title = {Legendre Pseudospectral Approximation of Boussinesq Systems and Applications to Wave Breaking},
journal = {Journal of Mathematical Study},
year = {2016},
volume = {49},
number = {3},
pages = {221--237},
abstract = {<p style="text-align: justify;">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.<br/>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.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v49n3.16.02},
url = {https://global-sci.com/article/87802/legendre-pseudospectral-approximation-of-boussinesq-systems-and-applications-to-wave-breaking}
}