首页 / 资料库 / 文献详情

A new stabilized method for quasi-Newtonian flows

Chunmei、Xie、Min-fu、Feng

2010Acta Scientiarum Naturalium Universitatis SunyatseniEngineering被引 1

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 W1,r（Ω） norm and that of the pressure in the Lr’（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.

引用本文（GB/T 7714）