High-order nonreflecting boundary conditions for the dispersive shallow water equations
MetadataShow full item record
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.
The article of record as published may be found at https://doi.org/10.1016/S0377-0427(03)00462-X
RightsThis 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.
Showing items related by title, author, creator and subject.
Application of high-order Higdon non-reflecting boundary conditions to linear shallow water models Neta, Beny; Joolen, Vince van; Dea, John R.; Givoli, Dan (2007);A shallow water model with linear time-dependent dispersive waves in an unbounded domain is considered. The domain is truncated with artificial boundaries B where a sequence of high-order non-reflecting boundary conditions ...
Givoli, Dan; Neta, Beny (2002-07);Problems of linear time-dependent dispersive waves in an unbounded domain are con- sidered. The infinite domain is truncated via an artificial boundary B, and a high-order Non-Reflecting Boundary Condition (NRBC) is imposed ...
Givoli, Dan; Neta, Beny (2003);Time-dependent dispersive shallow water waves in an unbounded domain are considered. The in finite domain is truncated via an artificial boundary B, and a high-order non-reflecting boundary condition (NRBC) is imposed on ...