A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals
A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals
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DOI：
10.1016/j.jcp.2021.110824
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发表时间：
2021-10
期刊：
影响因子：
--
通讯作者：
Svetlana Tlupova
中科院分区：
文献类型：
--
作者：
Svetlana Tlupova
一个框架，开发了一个强大的和高精度的数值解的耦合斯托克斯-达西系统在三维。区域分解法是基于Dirichlet-Neumann型分裂的界面条件和解决单独的斯托克斯和达西问题迭代。第二类边界积分方程制定的每一个问题。积分方程使用平滑的内核，实现高精度的边界，和一个简单的积分离散化。数值结果表明，收敛性，精度和依赖于参数值的迭代解的问题的粘性流周围的多孔球与已知的解析解，以及更一般的表面。
A framework is developed for a robust and highly accurate numerical solution of the coupled Stokes-Darcy system in three dimensions. The domain decomposition method is based on a Dirichlet-Neumann type splitting of the interface conditions and solving separate Stokes and Darcy problems iteratively. Second kind boundary integral equations are formulated for each problem. The integral equations use a smoothing of the kernels that achieves high accuracy on the boundary, and a straightforward quadrature to discretize the integrals. Numerical results demonstrate the convergence, accuracy, and dependence on parameter values of the iterative solution for a problem of viscous flow around a porous sphere with a known analytical solution, as well as more general surfaces.