四川大学学报（自然科学版）2011，Vol.48Issue(4)：753-759,7.DOI:10.3969/j.issn.0490-6756.2011.04.007
拟牛顿流的压力投影稳定化低阶有限元方法分析
Analysis of pressure projection stabilized method of low-order finite elements for quasi-newtonian flow problem
摘要
Abstract
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 W1,r(Ω) norm and that of the pressure in the Lr''(Ω)?(l/ r+l/r' = l). The power-law model and the Carreau model are special ones of the quasi-Newtonian flow problem discussed in this paper.关键词
拟牛顿流/稳定化方法/幂律/Carreau分布Key words
quasi-Newtonian/stabilization method/power law/Carreau分类
数学引用本文复制引用
刘红,谢春梅,冯民富..拟牛顿流的压力投影稳定化低阶有限元方法分析[J].四川大学学报（自然科学版）,2011,48(4):753-759,7.基金项目
四川省科技攻关课题(05GG006-006-2) （05GG006-006-2）
