A Simplified Parallel Two-Level Iterative Method for Simulation of Incompressible Navier-Stokes Equations  

作　　者：Yueqiang Shang Jin Qin 

机构地区：[1]School of Mathematics and Statistics,Southwest University,Chongqing 400715,China [2]School of Mathematics and Computer Science,Zunyi Normal College,Zunyi 563002,China

出　　处：《Advances in Applied Mathematics and Mechanics》2015年第6期715-735,共21页应用数学与力学进展（英文）

基　　金：supported by the Natural Science Foundation of China(No.11361016);the Project Sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry;the Scientific Research Foundation of Southwest University,Fundamental Research Funds for the Central Universities(No.XDJK2014C160,SWU113095);the Science and Technology Foundation of Guizhou Province,China(No.[2013]2212).

摘　　要：Based on two-grid discretization,a simplified parallel iterative finite element method for the simulation of incompressible Navier-Stokes equations is developed and analyzed.The method is based on a fixed point iteration for the equations on a coarse grid,where a Stokes problem is solved at each iteration.Then,on overlapped local fine grids,corrections are calculated in parallel by solving an Oseen problem in which the fixed convection is given by the coarse grid solution.Error bounds of the approximate solution are derived.Numerical results on examples of known analytical solutions,lid-driven cavity flow and backward-facing step flow are also given to demonstrate the effectiveness of the method.

关 键 词：Navier-Stokes equations finite element two-level method parallel algorithm 

分 类 号：O17[理学—数学]