Please wait a minute...
ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2001, Vol. 2 Issue (2): 165-169    DOI: 10.1631/jzus.2001.0165
Science & Engineering     
FINITE VOLUME METHOD BASED ON THE CROUZEIX-RAVIART ELEMENT FOR THE STOKES EQUATION
LI Da-ming
Dept. of Mathmatics, Zhejiang University, Hangzhou 310027, China
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

Abstract  The author provides a new discretization method-the finite volume method(FVM). For the Stokes equation the velocity space is approximated by the nonconforming linear element based on the dual partition and the pressure by the piecewise constant based on the primal triangulation. Under the suitable smoothness of the solution, the optimal convergence rate O(h) is obtained, where h denotes the parameter of the space discretization.

Key words： Stokes equation      finite volume method      Crouzeix-Raviart element     
Received: 18 April 2000     
CLC:  O241.82  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
LI Da-ming
Cite this article:

LI Da-ming. FINITE VOLUME METHOD BASED ON THE CROUZEIX-RAVIART ELEMENT FOR THE STOKES EQUATION. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2001, 2(2): 165-169.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2001.0165     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2001/V2/I2/165

[1] ZOU Jian-feng, ZHENG Yao, LIU Ou-zi. Simulation of turbulent combustion in DLR Scramjet[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(7): 1053-1058.
[2] SELEZNEV Vadim. Numerical simulation of a gas pipeline network using computational fluid dynamics simulators[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(5): 755-765.
[3] ZHANG Ting, FANG Dao-yuan. Non-formation of vacuum states for Navier-Stokes equations with density-dependent viscosity[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(10): 1681-1690.