A parallel domain decomposition method for coupling of surface and groundwater flows

被引：39
|
作者：
Jiang, Bin [1 ]
机构：
[1] Portland State Univ, Dept Math & Stat, Portland, OR 97201 USA
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2009年 / 198卷 / 9-12期
关键词：
Coupling of surface and groundwater flows; Domain decomposition; Mixed finite element method; FREE-BOUNDARY PROBLEMS; FINITE-ELEMENT-METHOD; STOKES;
D O I：
10.1016/j.cma.2008.11.001
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we Construct a robust parallel method based on a recently developed non-overlapping domain decomposition methodology to accurately model natural coupling of surface and groundwater flows. Stokes and Darcy equations are formulated and solved within the surface and Subsurface regions, respectively. A new type of Robin-Robin boundary condition is proposed on the common boundary for the coupling of those systems. The formulation provides great flexibility for multi-physics Coupling and is suitable for efficient parallel implementation. Meanwhile, it is stable with inherent system parameter variation. A numerical example is provided to verify the theory. (C) 2008 Elsevier B.V. All rights reserved.
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页码：947 / 957
页数：11
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