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A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model

A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model
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Year:    2017

Author:    Huiyong Jia, Peilin Shi, Kaitai Li, Hong-En Jia

Journal of Computational Mathematics, Vol. 35 (2017), Iss. 3 : pp. 319–345

Abstract

A decoupling method with different subdomain time steps for the non-stationary Navier-Stokes/Darcy model is formulated and analyzed. The method has asynchronous time steps, which adopt small time steps in the fluid region and large time steps in the porous region. It saves relatively large amount of CPU time. Stability and convergence of the method are proved. The numerical results are presented to illustrate the features of the proposed method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1606-m2015-0436

Journal of Computational Mathematics, Vol. 35 (2017), Iss. 3 : pp. 319–345

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    decoupling method Navier-Stokes/Darcy model asynchronous time steps.

Author Details

Huiyong Jia

Peilin Shi

Kaitai Li

Hong-En Jia

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