非定常Stokes方程稳定化方法的误差分析  

Error Estimates of a Stabilized Method for the Time-dependent Stokes Problem

作　　者：贾宏恩[1] 刘德民[2] 李开泰[3] 

机构地区：[1]太原理工大学数学学院,太原030024 [2]新疆大学数学与系统科学学院,乌鲁木齐830046 [3]西安交通大学数学与统计学院,西安710049

出　　处：《工程数学学报》2012年第6期859-864,共6页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10971165;10901122)~~

摘　　要：局部压力投影算子的稳定化方法被广泛地用于不可压缩流体的计算和分析,然而这些分析均对格式进行了全离散,稳定化项对误差的影响并没有被清楚地认识.本文采用基于加罚方法误差分析的技巧,在讨论中引入标准的抛物对偶理论,对于速度以及压力的误差进行了分析,得到了类似于加罚方法中加罚参数的结果.The stabilized method based on the local pressure projection operator has been widely used in simulation and analysis for the incompressible flow. However, the effect on error caused by the stabilized term is not obvious due to the application of the fully discrete scheme. In this paper, the errors of the velocity and the pressure are derived for the continuous stabilized scheme based on the penalty method and the standard parabolic duality argument.

关 键 词：稳定化 局部投影算子 NAVIER-STOKES方程 低阶对 

分 类 号：O241.82[理学—计算数学]