LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS

doi:10.1016/S0252-9602(17)30076-0

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (5): 1331-1347.doi: 10.1016/S0252-9602(17)30076-0

LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS

杜光芝¹, 左立云²

1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China;
2. School of Mathematical Sciences, University of Jinan, Jinan 250022, China

收稿日期:2016-04-06 修回日期:2016-11-09 出版日期:2017-10-25 发布日期:2017-10-25
通讯作者: Guangzhi DU,E-mail:guangzhidu@gmail.com E-mail:guangzhidu@gmail.com
作者简介:Liyun ZUO,E-mail:yeziliyun@126.com
基金资助:
Supported by NSFC (11571274 and 11401466).

LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS

Guangzhi DU¹, Liyun ZUO²

1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China;
2. School of Mathematical Sciences, University of Jinan, Jinan 250022, China

Received:2016-04-06 Revised:2016-11-09 Online:2017-10-25 Published:2017-10-25
Contact: Guangzhi DU,E-mail:guangzhidu@gmail.com E-mail:guangzhidu@gmail.com
Supported by:
Supported by NSFC (11571274 and 11401466).

摘要/Abstract

摘要：

In this paper, we consider the mixed Navier-Stokes/Darcy model with Beavers-Joseph interface conditions. Based on two-grid discretizations, a local and parallel finite element algorithm for this mixed model is proposed and analyzed. Optimal errors are obtained and numerical experiments are presented to show the efficiency and effectiveness of the local and parallel finite element algorithm.

关键词: Navier-Stokes equations, Darcy's law, two-grid algorithm, Beavers-Joseph interface conditions, parallel finite element method

Abstract:

Key words: Navier-Stokes equations, Darcy's law, two-grid algorithm, Beavers-Joseph interface conditions, parallel finite element method

杜光芝, 左立云. LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS[J]. 数学物理学报(英文版), 2017, 37(5): 1331-1347.

Guangzhi DU, Liyun ZUO. LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS[J]. Acta mathematica scientia,Series B, 2017, 37(5): 1331-1347.

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LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS

LOCAL AND PARALLEL FINITE ELEMENT METHOD FOR THE MIXED NAVIER-STOKES/DARCY MODEL WITH BEAVERS-JOSEPH INTERFACE CONDITIONS

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