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

[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.

[发布日期] 2003-09-01

[效力级别]  Proceedings Paper

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