Non-Iterative Domain Decomposition Methods for a Non-Stationary Stokes-Darcy Model with Beavers-Joseph Interface Condition

Author

Wenqiang Feng
Xiaoming He, Missouri University of Science and TechnologyFollow
Zhu Wang
Xu Zhang

Editor(s)

Scott, Melvin

Abstract

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(h³+Δt). 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(h³+Δt³), which is illustrated by a numerical example.

Recommended Citation

W. Feng et al., "Non-Iterative Domain Decomposition Methods for a Non-Stationary Stokes-Darcy Model with Beavers-Joseph Interface Condition," Applied Mathematics and Computation, vol. 219, no. 2, pp. 453 - 463, Elsevier, Jan 2012.

The definitive version is available at https://doi.org/10.1016/j.amc.2012.05.012

Department(s)

Mathematics and Statistics

Keywords and Phrases

Stokes-Darcy Flow; Beavers-Jospeh Interface Condition; Domain Decomposition Method; Parallel Algorithm; Finite Elements

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 Elsevier, All rights reserved.

Publication Date

01 Jan 2012