Spectral methods based on new formulations for coupled Stokes and Darcy equations

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	Spectral methods based on new formulations for coupled Stokes and Darcy equations
	Wang, Weiwei ; Xu, Chuanju ; Xu CJ(许传炬)
刊名	http://dx.doi.org/10.1016/j.jcp.2013.09.036
	2014-01-15
关键词	POROUS-MEDIA FLOW BOUNDARY-CONDITION NAVIER-STOKES FLUID-FLOW APPROXIMATION JOSEPH MODEL DISCRETIZATION SAFFMAN BEAVERS
英文摘要	National Science Foundation of China [11071203]; In this paper we consider the numerical solution of the Stokes and Darcy coupled equations, which frequently appears in porous media modeling. The main contribution of this work is as follows: First, we introduce a new formulation for the Stokes/Darcy coupled equations, subject respectively to the Beavers-Joseph-Saffman interface condition and an alternative matching interface condition. Secondly, we prove the well-posedness of these weak problems by using the classical saddle point theory. Thirdly, some spectral approximations to the weak problems are proposed and analyzed, and some error estimates are provided. It is found that the new formulations significantly simplify the error analysis and numerical implementation. Finally, some two-dimensional spectral and spectral element numerical examples are provided to demonstrate the efficiency of our methods. (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/2288/91375]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Wang, Weiwei,Xu, Chuanju,Xu CJ. Spectral methods based on new formulations for coupled Stokes and Darcy equations[J]. http://dx.doi.org/10.1016/j.jcp.2013.09.036,2014.
APA	Wang, Weiwei,Xu, Chuanju,&许传炬.(2014).Spectral methods based on new formulations for coupled Stokes and Darcy equations.http://dx.doi.org/10.1016/j.jcp.2013.09.036.
MLA	Wang, Weiwei,et al."Spectral methods based on new formulations for coupled Stokes and Darcy equations".http://dx.doi.org/10.1016/j.jcp.2013.09.036 (2014).