A NEW STABILIZED FINITE ELEMENT METHOD FOR SOLVING TRANSIENT NAVIER-STOKES EQUATIONS WITH HIGH REYNOLDS NUMBER  

作　　者：Chunmei Xie Minfu Feng 

机构地区：[1]Department of Basic Education,Chengdu Aeronautic Polytechnic,Chengdu 610100,China [2]School of Mathematics,Sichuan University,Chengdu 610064,China

出　　处：《Journal of Computational Mathematics》2020年第3期395-416,共22页计算数学（英文）

基　　金：We thank Dr.Chen Gang for the great help to the numerical part of this paper.This research was supported by the Natural Science Foundation of China(No.11271273);Major Project of Education Department in Sichan(No.18ZA0276).

摘　　要：In this paper,we present a new stabilized finite element method for transient Navier-Stokes equations with high Reynolds number based on the projection of the velocity and pressure.We use Taylor-Hood elements and the equal order elements in space and second order difference in time to get the fully discrete scheme.The scheme is proven to possess the absolute stability and the optimal error estimates.Numerical experiments show that our method is effective for transient Navier-Stokes equations with high Reynolds number and the results are in good agreement with the value of subgrid-scale eddy viscosity methods,Pet ro-Galerkin finite element method and st reamline diffusion method.

关 键 词：Transient Navier-Stokes problems High Reynolds number The projection of the velocity and pressure Taylor-Hood elements The equal order elements 

分 类 号：O241.82[理学—计算数学]