On the solution of the coupled Navier-Stokes and Darcy equations

被引：78

作者：

Chidyagwai, Prince ^{[1
]}

Riviere, Beatrice ^{[1
]}

机构：

[1] Rice Univ, Dept Computat & Appl Math, Houston, TX 77005 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2009年 / 198卷 / 47-48期

关键词：

Coupled problems; Surface flow; Subsurface flow; Weak solution; Finite elements; Discontinuous Galerkin; FINITE-ELEMENT-METHOD; APPROXIMATION; JOSEPH; FLOW;

D O I：

10.1016/j.cma.2009.08.012

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper introduces and analyzes two mathematical models for coupling the incompressible Navier-Stokes equations with the porous media flow equations. A numerical method that uses continuous finite elements in the incompressible flow region and discontinuous finite elements in the Porous medium, is proposed. Existence and uniqueness results under small data condition of the numerical solution are proved. Optimal a priori error estimates are derived. Numerical examples comparing the two models under varying physical parameters are provided. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：3806 / 3820

页数：15

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