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Darcy-Stokes Equations with Finite Difference and Natural Boundary Element Coupling Method

Peng Weihong1, Cao Guohua2, Dongzhengzhu1, Li Shuncai3
School of Mechanics and Civil Engineering, CUMT, Xuzhou, China
School of Mechatronic Engineering, CUMT, Xuzhou, China
School of Mechanical and Electrical Engineering, Xuzhou Normal University, Xuzhou, China

Computer Modeling in Engineering & Sciences 2011, 75(3&4), 173-188. https://doi.org/10.3970/cmes.2011.075.173

Abstract

Numerical method is applied to investigate the Darcy-Stokes equations, which is governing the steady incompressible Stokes flow past a circular cavity in a porous medium. The free fluid flow is modeled by the incompressible Stokes equations, and the flow in the porous medium is imposed by Darcy equations. Based on domain decomposition method with D-N alternating iteration algorithm, the coupling method of finite difference method and natural boundary element method is studied for the coupling Darcy-Stokes equations under a certain pressure difference. The numerical results indicate that the finite difference and natural boundary element coupling method is efficient and convenient for the Darcy-Stokes problem of the steady-state parallel flow with a void space.

Keywords

Darcy-Stokes, domain decomposition, D-N alternating iteration, coupling method.

Cite This Article

Weihong, P., Guohua, C., , D., Shuncai, L. (2011). Darcy-Stokes Equations with Finite Difference and Natural Boundary Element Coupling Method. CMES-Computer Modeling in Engineering & Sciences, 75(3&4), 173–188.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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