A Defect-Correction Method for Time-Dependent Viscoelastic Fluid Flow Based on SUPG Formulation

被引：6
|
作者：
Zhang, Yunzhang [3 ,4 ]
Hou, Yanren [3 ]
Yang, Ganshan [1 ,2 ]
机构：
[1] Yunnan Normal Univ, Inst Math Sci, Kunming 650092, Peoples R China
[2] Yunnan Nationalities Univ, Dept Math, Kunming 650031, Peoples R China
[3] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
[4] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471003, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2011年 / 2011卷
基金：
中国国家自然科学基金;
关键词：
NAVIER-STOKES EQUATIONS; FINITE-ELEMENT APPROXIMATION; NUMERICAL-ANALYSIS; SCHEME; FEM;
D O I：
10.1155/2011/689804
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A defect-correction mixed finite element method for solving the time-dependent Johnson-Segalman viscoelastic equations in two dimensions is given. In the defect step, the constitutive equation is computed with the artificially reduced Weissenberg parameter for stability, and the resulting residual is corrected in the correction step on the same grid. A streamline upwind Petrov-Galerkin (SUPG) approximation is used to stabilize the hyperbolic character of the constitutive equation for the stress. We establish a priori error estimates for the defect step and the first correction step of the defect correction method. The derived theoretical results are supported by numerical tests.
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页数：25
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