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

作　　者：任春风 马逸尘 

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第7期773-782,共10页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 0 0 0 1 0 2 8)

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.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.

关 键 词：Computational fluid dynamics Finite element method Incompressible flow 

分 类 号：O357.1[理学—流体力学] O241.85[理学—力学]