A Spectral Limited-Area Model Formulation with Time-dependent Boundary Conditions Applied to the Shallow-Water Equations

1993 ◽  
Vol 121 (9) ◽  
pp. 2618-2630 ◽  
Author(s):  
Jan Erik Haugen ◽  
Bennert Machenhauer
Keyword(s):  
Boundary Conditions ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Time Dependent ◽  
Limited Area ◽  
Model Formulation ◽  
Limited Area Model ◽  
Area Model

Boundary Conditions for Limited Area Models Based on the Shallow Water Equations

2013 ◽  
Vol 14 (3) ◽  
pp. 664-702 ◽  
Author(s):  
Arthur Bousquet ◽  
Madalina Petcu ◽  
Ming-Cheng Shiue ◽  
Roger Temam ◽  
Joseph Tribbia
Keyword(s):  
Boundary Conditions ◽  
Numerical Simulations ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Water System ◽  
Limited Area ◽  
Two Dimensional ◽  
One Dimensional ◽  
Shallow Water System ◽  
The Waves

AbstractA new set of boundary conditions has been derived by 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.

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