Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 219, Issue 2, Pages 453-463Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.05.012
Keywords
Stokes-Darcy flow; Beavers-Joseph interface condition; Domain decomposition method; Parallel algorithm; Finite elements
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Funding
- University of Missouri Research Board
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In order to solve a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition, two non-iterative domain decomposition methods are proposed. At each time step, results from previous time steps are utilized to approximate the information on the interface and decouple the two physics. Both of the two methods are parallel. Numerical results suggest that the first method has accuracy order O(h(3) + Delta t). In order to improve the accuracy and efficiency, a three-step backward differentiation is used in the second method to achieve an accuracy order O(h(3) + Delta t(3)), which is illustrated by a numerical example. (C) 2012 Elsevier Inc. All rights reserved.
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