A new stabilized method for quasi-Newtonian flows

作     者：谢春梅 冯民富 

作者机构：School of Applied MathematicsUniversity of Electronic Science and Technology of China School of MathematicsSichuan University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2010年第31卷第9期

页      面：1081-1096页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the Key Technology Research and Development Program of Sichuan Province of China(No.05GG006-006-2) 

主　　题：quasi-Newtonian stabilized method power law model Carreau model,residual-based posterior bound 

摘      要：For a generalized quasi-Newtonian flow, a new stabilized method focused on the low-order velocity-pressure pairs, （bi）linear/（bi）linear and （bi）linear/constant element, is presented. The pressure projection stabilized method is extended from Stokes problems to quasi-Newtonian flow problems. The theoretical framework developed here yields an estimate bound, which measures error in the approximate velocity in the W 1,r（Ω） norm and that of the pressure in the L r＇ （Ω） （1/r ＋ 1/r＇ = 1）. The power law model and the Carreau model are special ones of the quasi-Newtonian flow problem discussed in this paper. Moreover, a residual-based posterior bound is given. Numerical experiments are presented to confirm the theoretical results.