Year: 2018
Author: Xin Zhao, Yanping Chen
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 710–734
Abstract
In this paper, we investigate the nonlinear system of Navier-Stokes and Darcy flows coupled by the Beavers-Joseph-Saffman law on the interface. The well-posedness of the weak and numerical solutions are established. Mortar elemen method is introduced to solve the coupled model. Error estimates are derived for the proposed method. We adopt an iterative algorithm to solve the nonlinear scheme generated by the coupled system. Numerical example is provided to verify the theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2017-0170
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 710–734
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Darcy flow Navier-Stokes equations finite element method mortar element.