High-Order Non-Reflecting Boundary Conditions for Dispersive Waves
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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 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 param- eters appearing in the NRBC is proposed. The performance of the scheme is demonstrated via numerical examples.
Wave Motion, 37 (2003), 257–271.
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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 ...
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