模具技术Issue(4):16-19,4.
粘弹性流动数值模拟方法及其在Poiseuille流中的验证
A new numerical scheme for viscoelastic flow and its verification in Poiseuille problem
摘要
Abstract
A mixed finite element scheme abbreviated as I_PS_DEVSS_CNBS scheme for modeling viscoelastic flow problems is presented. The finite incremental calculus (FIC) pressure stabilization process and the discrete elastic-viscous stress-splitting method (DEVSS) are introduced into the general framework of the iterative version of the fractional step algorithm with the use of the Crank Nicolson-based splitting. Inconsistent streamline upwinding method (SU) is employed to spatially discretize the constitutive equation of viscoelastic fluids. Equal low-order finite elements which violate the LBB compatibility conditions are successfully used in the proposed scheme. In addition, the proposed scheme will be verified in the plane Poiseuille flow problem quantitatively.关键词
粘弹性流体/有限元法/有限增量法/离散粘弹应力分裂法Key words
viscoelastic flow/ finite element method/ FIC/ DEVSS分类
数理科学引用本文复制引用
张一丁,韩先洪..粘弹性流动数值模拟方法及其在Poiseuille流中的验证[J].模具技术,2012,(4):16-19,4.基金项目
国家自然科学基金项目(51105247),宁波市重大科技攻关项目(2010B10018). (51105247)