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High-order boundary conditions for linearized shallow water equations with stratification, dispersion and advection

✍ Scribed by Vince J. van Joolen; Beny Neta; Dan Givoli

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
899 KB
Volume
46
Category
Article
ISSN
0271-2091

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✦ Synopsis

Abstract

The two‐dimensional linearized shallow water equations are considered in unbounded domains with density stratification. Wave dispersion and advection effects are also taken into account. The infinite domain is truncated via a rectangular artificial boundary ℬ︁, and a high‐order open boundary condition (OBC) is imposed on ℬ︁. Then the problem is solved numerically in the finite domain bounded by ℬ︁. A recently developed boundary scheme is employed, which is based on a reformulation of the sequence of OBCs originally proposed by Higdon. The OBCs can easily be used up to any desired order. They are incorporated here in a finite difference scheme. Numerical examples are used to demonstrate the performance and advantages of the computational method, with an emphasis is on the effect of stratification. Published in 2004 by John Wiley & Sons, Ltd.

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