Application of high-order Higdon non-reflecting boundary conditions to linear shallow water models
✍ Scribed by Neta, Beny ;van Joolen, Vince ;Dea, John R. ;Givoli, Dan
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 316 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.1044
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✦ Synopsis
Abstract
A shallow water model with linear time‐dependent dispersive waves in an unbounded domain is considered. The domain is truncated with artificial boundaries ℬ︁ where a sequence of high‐order non‐reflecting boundary conditions (NRBCs) proposed by Higdon are applied. Methods devised by Givoli and Neta that afford easy implementation of Higdon NRBCs are refined in order to reduce computational expenses. The new refinement makes the
computational effort associated with the boundary treatment quadratic rather than exponential (as in the original scheme) with the order. This allows for implementation of NRBCs of higher orders than previously. A numerical example for a semi‐infinite channel truncated on one side is presented. Finite difference schemes are used throughout. Copyright © 2007 John Wiley & Sons, Ltd.