ON THE SHALLOW-WATER EQUATIONS AT LOW REYNOLDS-NUMBER

被引:0
作者
BERNARDI, C
PIRONNEAU, O
机构
[1] INST NATL RECH INFORMAT & AUTOMAT,F-78153 LE CHESNAY,FRANCE
[2] UNIV PIERRE & MARIE CURIE,F-78153 LE CHESNAY,FRANCE
[3] UNIV PARIS 06,F-75252 PARIS 05,FRANCE
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The vertical averages of the incompressible Navier-Stokes equations are studied from the point of view of numerical analysis: existence of solution and convergence of algorithms. Three formulations are analysed; existence theorems are obtained when the Reynolds number is small. Convergence of a time implicit algorithm is shown, while the discretization in space is achieved with the finite element method.
引用
收藏
页码:59 / 104
页数:46
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