OPTIMIZED SCHWARZ WAVEFORM RELAXATION FOR THE PRIMITIVE EQUATIONS OF THE OCEAN

被引：9
作者：
Audusse, E. [1 ]
Dreyfuss, P. [2 ]
Merlet, B. [1 ]
机构：
[1] Univ Paris 13, Inst Galilee, LAGA, F-93430 Villetaneuse, France
[2] Univ Nice, Lab JA Dieudonne, F-06000 Parc Valrose, France
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2010年 / 32卷 / 05期
关键词：
domain decomposition; Schwarz waveform relaxation algorithm; fluid mechanics; primitive equations; finite volume methods; OPEN BOUNDARY-CONDITIONS;
D O I：
10.1137/090770059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we are interested in the derivation of efficient domain decomposition methods for the viscous primitive equations of the ocean. We consider the rotating three-dimensional incompressible hydrostatic Navier-Stokes equations with free surface. Performing an asymptotic analysis of the system in the regime of small Rossby numbers, we compute an approximate Dirichlet to Neumann operator and build an optimized Schwarz waveform relaxation algorithm. We establish that the algorithm is well defined and provide numerical evidence of the convergence of the method.
引用
收藏
页码：2908 / 2936
页数：29
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