High-order nonre(ecting boundary conditions for the dispersive shallow water equations
نویسندگان
چکیده
Time-dependent dispersive shallow water waves in an unbounded domain are considered. The in5nite domain is truncated via an arti5cial boundary B, and a high-order non-re(ecting boundary condition (NRBC) is imposed on B. Then the problem is solved by a 5nite di6erence scheme in the 5nite domain bounded by B. 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.
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