Multigrid method for Mild-Slope equation in Coastal Wave Modelling
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Date
2019-04-19
Authors
Tabarek, Rysbergen
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Science and Technology
Abstract
In this thesis we propose and study an efficient iterative multigrid method for the time independent modified mild slope equation with and without energy dissipation term.
The algorithm relies on a multigrid method preconditioned with shifted-Laplacian
preconditioner and solved by Bi-CGSTAB algorithm. Multigrid analysis results are
shown by numerical experiments. Numerical experiments are conducted in depth
sloped elliptic shoal introduced by Berkhoff et. al
Description
Submitted to the Department of Mathematics on Apr 19, 2019, in partial fulfillment of the
requirements for the degree of Master of Applied Mathematics
Keywords
Research Subject Categories::MATHEMATICS::Applied mathematics, multigrid method, slope equation, shifted-Laplacian preconditioner, Bi-CGSTAB algorithm