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拟牛顿流的压力投影稳定化低阶有限元方法分析 被引量:1

Analysis of pressure projection stabilized method of low-order finite elements for quasi-newtonian flow problem
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摘要 作者对一般的拟牛顿流问题,针对线性/线性和线性/常数两种低阶有限元空间,提出了一种新的稳定化方法.该方法可以看成压力投影稳定化方法从Stokes问题到拟牛顿流问题的推广与发展.在速度属于W^(1,r)(Ω),压力属于L^r'(Ω)(1/r+1/r'=1)下,作者给出了误差估计.服从幂律及Carreau分布的拟牛顿流问题可看成本文的特殊情况. For a generalized quasi-Newtonian flow problem,a new stabilized method focused on the low order velocity-pressure pairs(linear/linear and linear/constant element) is presented. As a development of pressure projection stabilized method,the authors extend it from Stokes problems to quasi-Newtonian flow problems. The theoretical framework developed herein yields estimate bounds which measure the error in the approximation of the velocity in the W^l'r (Ω) norm and that of the pressure in the L^r' (Ω), (1/ r+l/r^' =1). The power-law model and the Carreau model are special ones of the quasi-Newtonian flow problem discussed in this paper.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第4期753-759,共7页 Journal of Sichuan University(Natural Science Edition)
基金 四川省科技攻关课题(05GG006-006-2)
关键词 拟牛顿流 稳定化方法 幂律 Carreau分布 quasi-Newtonian, stabilization method, power law, Carreau
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二级参考文献3

  • 1周天孝,计算数学,1991年,13卷,2期,153页
  • 2周天孝,Math Comput
  • 3郭大钧,非线形泛函分析

共引文献12

同被引文献9

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  • 7骆艳,冯民富.Stokes方程的压力梯度局部投影间断有限元法[J].计算数学,2008,30(1):25-36. 被引量:7
  • 8张莉,冯民富.Navier-Stokes方程的低阶混合有限元方法[J].高等学校计算数学学报,2009,31(2):97-108. 被引量:1
  • 9祁瑞生,冯民富,刘丹.Stokes方程的局部绝对稳定化有限元方法[J].四川大学学报(自然科学版),2010,47(3):436-440. 被引量:3

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