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Volume 35, Issue 3
A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model

Huiyong Jia, Peilin Shi, Kaitai Li & Hong-En Jia

DOI: 10.4208/jcm.1606-m2015-0436

J. Comp. Math., 35 (2017), pp. 319-345.

Published online: 2017-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35Q30, 74S05.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

544384931@qq.com (Huiyong Jia)

shipeilin@tyut.edu.cn (Peilin Shi)

ktli@xjtu.edu.cn (Kaitai Li)

jiahongen@aliyun.com (Hong-En Jia)

  • BibTex
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  • TXT
@Article{JCM-35-319, author = {Jia , HuiyongShi , PeilinLi , Kaitai and Jia , Hong-En}, title = {A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model}, journal = {Journal of Computational Mathematics}, year = {2017}, volume = {35}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1606-m2015-0436}, url = {http://global-sci.org/intro/article_detail/jcm/9775.html} }
TY - JOUR T1 - A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model AU - Jia , Huiyong AU - Shi , Peilin AU - Li , Kaitai AU - Jia , Hong-En JO - Journal of Computational Mathematics VL - 3 SP - 319 EP - 345 PY - 2017 DA - 2017/06 SN - 35 DO - http://doi.org/10.4208/jcm.1606-m2015-0436 UR - https://global-sci.org/intro/article_detail/jcm/9775.html KW - decoupling method, Navier-Stokes/Darcy model, asynchronous time steps. AB -

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.

Huiyong Jia, Peilin Shi, Kaitai Li & Hong-En Jia. (2020). A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model. Journal of Computational Mathematics. 35 (3). 319-345. doi:10.4208/jcm.1606-m2015-0436
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