TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 773-782.

TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS

任春风, 马逸尘

College of Science, Xi’an Jiaotong University, Xi’an 710049, P R China

收稿日期:2001-01-15 修回日期:2001-11-28 出版日期:2002-07-18 发布日期:2002-07-18
基金资助:
the National Natural Science Foundation of China(10001028)

TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS

REN Chun-feng, MA Yi-chen

College of Science, Xi’an Jiaotong University, Xi’an 710049, P R China

Received:2001-01-15 Revised:2001-11-28 Online:2002-07-18 Published:2002-07-18
Supported by:
the National Natural Science Foundation of China(10001028)

摘要/Abstract

摘要： The two-grid finite element approximation to the stream function form of the stationary Navier-Stokes equations was analyzed. The algorithms involve solving one small, nonlinear coarse mesh system, one linear problem on the fine mesh system, and a linear correct problem on the coarse mesh. The algorithms with the correct problem and without the correct problem were discussed. The algorithms produce an approximate solution with the optimal, asymptotic accuracy for any fixed Reynolds number.

中图分类号:

任春风;马逸尘. TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 773-782.

REN Chun-feng;MA Yi-chen. TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(7): 773-782.

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TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS

TWO-GRID ERROR ESTIMATES FOR THE STREAM FUNCTION FORM OF NAVIER-STOKES EQUATIONS

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