A posteriori error analysis of a fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity

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• 作者：Sergio Caucao^a ; ^{scaucao@ci2ma.udec.cl} ; Gabriel N. Gatica^a ; ^{ggatica@ci2ma.udec.cl} ; Ricardo Oyarzú ; a^b ; ^c ; ^{royarzua@ubiobio.cl}
• 关键词：65N30 ; 65N12 ; 65N15 ; 35Q79 ; 80A20 ; 76R05 ; 76D07
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：315
• 期：Complete
• 页码：943-971
• 全文大小：2012 K
• 卷排序：315

文摘

A new mixed finite element method for the coupling of the Navier–Stokes and Darcy equations is considered. Nonlinear viscosity is allowed in the fluid. An augmented fully-mixed variational formulation relaxing the usual hypotheses on the finite element subspaces is employed. The finite element subspaces are the cheapest ones, in particular Raviart–Thomas of order 0 for the stress. A reliable and efficient residual-based a posteriori error estimate is derived.