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Jiang, Bin

A parallel domain decomposition method for coupling of surface and groundwater flows. (English) Zbl 1229.76048

Comput. Methods Appl. Mech. Eng. 198, No. 9-12, 947-957 (2009).
Summary: 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.

Cited in 28 Documents

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
76D07 Stokes and related (Oseen, etc.) flows
65Y05 Parallel numerical computation
86A05 Hydrology, hydrography, oceanography

Keywords:

coupling of surface and groundwater flows; domain decomposition; mixed finite element method
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\textit{B. Jiang}, Comput. Methods Appl. Mech. Eng. 198, No. 9--12, 947--957 (2009; Zbl 1229.76048)
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