有限元法
数学分析
离散化
斯托克斯流
数值分析
领域(数学分析)
达西定律
纳维-斯托克斯方程组
作者
Yizhong Sun,Weiwei Sun,Haibiao Zheng
标识
DOI:10.1016/j.cma.2020.113578
摘要
Abstract In this paper, a parallel domain decomposition method is proposed, for solving the fully-mixed Stokes–Darcy coupled problem with the Beavers–Joseph–Saffman (BJS) interface conditions. With newly constructed Robin-type boundary conditions, the present method adopts modified weak formulation to decouple the original problem into two independent subproblems. The equivalence between the original problem and the decoupled subproblems is derived under some compatibility conditions. Another equivalence of two weak formulations with different spaces is also established, for subsequent convergence analysis based on the decoupled modified weak formulation. Moreover, the convergence of the iterative parallel method in a more general framework is shown. With some suitable choice of parameters, both mesh-dependent and mesh-independent convergence rates are proved rigorously. Finally, we present several numerical examples to show the exclusive features of the proposed method.
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