Year: 2019
Author: Jingyuan Zhang, Hongxing Rui, Yanzhao Cao
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 3 : pp. 463–498
Abstract
A decoupled finite element algorithm with different time steps on different physical variables for a Stokes-Darcy interface system coupled with the solution transport is studied. The viscosity of the Stokes equation is assumed to depend on the concentration of the transported solution. The numerical algorithm consists of two steps. In the first step, the system is decoupled on the interface. In the second step, the time derivatives are discretized with different step sizes for different partial differential equations in the system. A careful error analysis provides a guidance on the ratio of the step sizes with respect to the ratio of the physical parameters. Numerical examples are presented to verify the theoretical results and illustrate the effectiveness of the decoupled algorithm of using different time steps.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-12878
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 3 : pp. 463–498
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 36
Keywords: Coupled Stokes and Darcy flows solute transport decoupled algorithm different time steps error estimates.