High-order nonreflecting boundary conditions for the dispersive shallow water equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:158

Article; Proceedings Paper

Givoli, D ; Neta, B

关键词: shallow water equations;    non-reflecting boundary conditions;    wave dispersion;    high-order method;   

DOI  :  10.1016/S0377-0427(03)00462-X

来源: Elsevier

【 摘 要 】

Time-dependent dispersive shallow water waves in an unbounded domain are considered. The infinite domain is truncated via an artificial boundary B, and a high-order non-reflecting boundary condition (NRBC) is imposed on B. 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. (C) 2003 Elsevier B.V. All rights reserved.

【 授权许可】

Free