Coupled Generalized Nonlinear Stokes Flow with flow through a Porous Media
Coupled Generalized Nonlinear Stokes Flow with flow through a Porous Media
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发表时间：
2007
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通讯作者：
V. Ervin;E. Jenkins;S. Sun
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作者：
V. Ervin;E. Jenkins;S. Sun
在本文中，我们分析了流体在耦合Stokes-Darcy域中的流动。每个区域的流体都是非牛顿流体，在自由流动区域采用广义非线性Stokes方程，在多孔介质中采用广义非线性Darcy方程。沿自由流动边界的流入部分指定流速。我们证明了该问题的变分解的存在唯一性。我们提出并分析了一种近似算法，并建立了近似的先验误差估计。
In this article, we analyze the flow of a fluid through a coupled Stokes-Darcy domain. The fluid in each domain is non-Newtonian, modeled by the generalized nonlinear Stokes equation in the free flow region and the generalized nonlinear Darcy equation in the porous medium. A flow rate is specified along the inflow portion of the free flow boundary. We show existence and uniqueness of a variational solution to the problem. We propose and analyze an approximation algorithm and establish a-priori error estimates for the approximation.