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Navier-Stokes方程有限元并行计算方法最新进展
引用本文:尚月强,黄淑梅.Navier-Stokes方程有限元并行计算方法最新进展[J].贵州师范大学学报(自然科学版),2012,30(2):113-120.
作者姓名:尚月强  黄淑梅
作者单位:贵州师范大学数学与计算机科学学院,贵州贵阳,550001
基金项目:基金项目:国家自然科学基金项目,贵州师范大学博士科研启动基金项目
摘    要:Navier-Stokes方程是流体力学的基本方程,其并行数值求解方法是当前计算数学和计算流体力学领域的最前沿课题之一。综述了Navier-Stokes方程有限元并行计算方法的研究现状。将已有的方法进行分类,分别介绍了其基本思想,评述了各种有限元并行计算方法的优缺点,讨论了有限元并行计算方法所面临的问题,并对其发展趋势进行了展望。

关 键 词:Navier-Stokes方程  有限元方法  并行计算  计算流体力学

Recent developments of parallel finite element methods for the Navier-Stokes equations
SHANG Yue-qiang,HUANG Shu-mei.Recent developments of parallel finite element methods for the Navier-Stokes equations[J].Journal of Guizhou Normal University(Natural Sciences),2012,30(2):113-120.
Authors:SHANG Yue-qiang  HUANG Shu-mei
Institution:(School of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou 550001,China)
Abstract:Navier-Stokes equations are the basic equations in fluid mechanics,for which the development of parallel numerical methods is one of the hot research topics in computational mathematics and computational fluid dynamics.This paper gives an overview of existing parallel finite element methods for the Navier-Stokes equations.The classifications,the basic ideas,the advantages and disadvantages of different methods are discussed.Finally,the perspectives and challenges in developing parallel finite element methods for the Navier-Stokes equations are given.
Keywords:Navier-Stokes equations  finite element method  parallel computing  computational fluid dynamics
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