Volume 14, Issue 3
Boundary Conditions for Limited Area Models Based on the Shallow Water Equations

Arthur Bousquet ,  Madalina Petcu ,  Ming-Cheng Shiue ,  Roger Temam and Joseph Tribbia

10.4208/cicp.070312.061112a

Commun. Comput. Phys., 14 (2013), pp. 664-702.

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  • Abstract

Anew set of boundary conditions has beenderivedby rigorous methods for the shallow water equations in a limited domain. The aim of this article is to present these boundary conditions and to report on numerical simulations which have been performed using these boundary conditions. The new boundary conditions which are mildly dissipative let the waves move freely inside and outside the domain. The problems considered include a one-dimensional shallow water system with two layers of fluids and a two-dimensional inviscid shallow water system in a rectangle.


  • History

Published online: 2013-09

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