High-order nonreflecting boundary conditions for the dispersive shallow water equations
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Authors
Givoli, Dan
Neta, Beny
Subjects
Advisors
Date of Issue
2003
Date
2003
Publisher
Elsevier
Language
Abstract
Time-dependent dispersive shallow water waves in an unbounded domain are considered. The infinite domain is truncated via an artificial boundary , and a high-order non-reflecting boundary condition (NRBC) is imposed on . Then the problem is solved by a finite difference scheme in the finite domain bounded by . The sequence of NRBCs proposed by Higdon is used. However, in contrast to the original low-order implementation of the Higdon conditions, a new scheme is devised which allows the easy use of a Higdon-type NRBC of any desired order. In addition, a procedure for the automatic choice of the parameters appearing in the NRBC is proposed. The performance of the scheme is demonstrated via a numerical example.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1016/S0377-0427(03)00462-X
Series/Report No
Department
Mathematics
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Format
12 p.
Citation
Givoli, Dan, and Beny Neta. "High-order nonreflecting boundary conditions for the dispersive shallow water equations." Journal of Computational and Applied Mathematics 158.1 (2003): 49-60.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.