Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition

YongCao; YuchuanChu; XiaomingHe; MingzhenWei

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Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition

机译：用Beavers-Joseph-Saffman接口条件解耦固定的Navier-Stokes-Darcy系统

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This paper proposes a domain decomposition method for the coupled stationary Navier-Stokesand Darcy equations with the Beavers-Joseph-Saffman interface condition in order to improve theefficiency of the finite element method. The physical interface conditions are directly utilizedto construct the boundary conditions on the interface and then decouple the Navier-Stokes andDarcy equations. Newton iteration will be used to deal with the nonlinear systems. Numericalresults are presented to illustrate the features of the proposed method.

机译：为了提高有限元方法的效率，本文提出了一种基于Beavers-Joseph-Saffman界面条件的耦合平稳Navier-Stokesand Darcy方程的区域分解方法。物理界面条件直接用于构造界面上的边界条件，然后解耦Navier-Stokes和Darcy方程。牛顿迭代将用于处理非线性系统。数值结果表明了该方法的特点。

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《Abstract and applied analysis》 |2013年第14期|共10页
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YongCao; YuchuanChu; XiaomingHe; MingzhenWei;
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2. A DOMAIN DECOMPOSITION METHOD FOR THE STEADY-STATE NAVIER-STOKES-DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITION [J] . He Xiaoming, Li Jian, Lin Yanping, SIAM Journal on Scientific Computing . 2015,第5期

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3. A Decoupling Two-Grid Algorithm for the Mixed Stokes-Darcy Model with the Beavers-Joseph Interface Condition [J] . Liyun Zuo, Yanren Hou Numerical Methods for Partial Differential Equations: An International Journal . 2014,第3期

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Decoupling the Stationary Navier-Stokes-Darcy System with the Beavers-Joseph-Saffman Interface Condition

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