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

被引：6

作者：

Bousquet, Arthur ^{[1
]}

Petcu, Madalina ^{[2
,3
]}

Shiue, Ming-Cheng ^{[1
,4
]}

Temam, Roger ^{[1
]}

Tribbia, Joseph ^{[5
]}

机构：

[1] Indiana Univ, Inst Appl Math & Sci Comp, Bloomington, IN 47405 USA

[2] Univ Poitiers, Lab Math & Applicat, UMR 6086, Poitiers, France

[3] Acad Romana, Inst Math, Bucharest, Romania

[4] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan

[5] Natl Ctr Atmospher Res, Boulder, CO 80307 USA

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2013年 / 14卷 / 03期

基金：

美国国家科学基金会;

关键词：

Boundary conditions; finite volumes; shallow water; FLUID-DYNAMICS; CIRCULATION; SCHEMES;

D O I：

10.4208/cicp.070312.061112a

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A 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.

引用

页码：664 / 702

页数：39

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