High-Order Non-Reflecting 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 in finite 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 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.
J. Computational Applied Mathematics, 158, (2003), 49–60.
Showing items related by title, author, creator and subject.
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 ...
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 (2002-05);A new non-reflecting boundary scheme is proposed for time-dependent wave problems in unbounded domains. The linear time-dependent wave equation, with or without a disper- sive term, is considered outside of an obstacle or ...