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Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows
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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.

Author Details

Xin Zhao

Yanping Chen

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