A one-domain approach for modeling and simulation of free fluid over a porous medium

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	A one-domain approach for modeling and simulation of free fluid over a porous medium
	Chen, Huangxin ; Wang, Xiao-Ping ; Chen HX(陈黄鑫)
刊名	http://dx.doi.org/10.1016/j.jcp.2013.12.008
	2014-02-15
关键词	BOUNDARY-CONDITION HOMOGENEOUS FLUID JUMP COEFFICIENTS MOMENTUM-TRANSFER DARCYS-LAW THEORETICAL DEVELOPMENT FORCHHEIMER EQUATION ASYMPTOTIC ANALYSIS EFFECTIVE VISCOSITY INTERFACE
英文摘要	Hong Kong RGC [GRF-HKUST 605513, 605311]; NNSF of China [91230102]; Hong Kong University of Science and Technology; National Natural Science Foundation of China [11201394]; Natural Science Foundation of Fujian Province [2013J05016]; We propose a one-domain approach based on the Brinkman model for the modeling and simulation of the transport phenomenon between free fluid and a porous medium. A thin transition layer is introduced between the free fluid region and the porous media region, across which the porosity and permeability undergo a rapid but continuous change. We study the behavior of the solution to the one-domain model analytically and numerically. Using the method of matched asymptotic expansion, we recover the Beavers-Joseph-Saffman (BJS) interface condition as the thickness of the transition layer goes to zero. We also calculate the error estimates between the leading order solution of the one-domain model and the standard Darcy-Stokes model of two-domain model with BJS condition. Numerical methods are developed for both the one-domain model and the two-domain model. Numerical results are presented to support the analytical results, thereby justifying the one-domain model as a good approximation to the two domain Stokes-Darcy model. (C) 2013 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91367]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, Huangxin,Wang, Xiao-Ping,Chen HX. A one-domain approach for modeling and simulation of free fluid over a porous medium[J]. http://dx.doi.org/10.1016/j.jcp.2013.12.008,2014.
APA	Chen, Huangxin,Wang, Xiao-Ping,&陈黄鑫.(2014).A one-domain approach for modeling and simulation of free fluid over a porous medium.http://dx.doi.org/10.1016/j.jcp.2013.12.008.
MLA	Chen, Huangxin,et al."A one-domain approach for modeling and simulation of free fluid over a porous medium".http://dx.doi.org/10.1016/j.jcp.2013.12.008 (2014).