服从Oldroyd B型微分模型的粘弹性流体问题的数值解法  

A Numerical Approximate Algorithm for Problems of Viscoelastic Fluid Following the Oldroyd B Type Constitutive Law

作　　者：张宏伟[1] 杨虹霞[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,长沙410114

出　　处：《数学理论与应用》2012年第3期73-80,共8页Mathematical Theory and Applications

摘　　要：本文对服从Oldroyd B型微分模型的粘弹性流体问题给出了一种数值逼近算法.该算法对压力方程采用标准混合有限元方法,对速度方程采用并行非重叠区域分解方法和特征线法.这种并行算法在子区域上用Galerkin方法,通过积分平均方法显式地给出内边界的数值流.在本文最后还给出了该算法的最优L2-误差估计.This paper gives a numerical approximate algorithm for solving the problem of viscoelastic fluid flow fol lowing the Oldroyd B type constitutive law. In the algorithm, a parallel non - overlapping domain decomposition pro cedure combined with the characteristic method is applied for the velocity equation and the standard mixed finite ele ment is applied for the pressure equation. The algorithm adopt the implicit Galerkin method in the sub - domains and the integral mean method to explicitly give the data stream on the inner boundaries of the domain. The L^2 - norm error estimate of the algorithm is derived in the last section.

关 键 词：粘弹性流体 非重叠区域分解方法 混合有限元方法 

分 类 号：O357[理学—流体力学] O241.8[理学—力学]