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.

引用

页数：25

共 50 条

[21] LINEAR TIME-DEPENDENT FLUID FLOW PROBLEMS
WADHWA, YD
WINEINGE.TW
QUARTERLY OF APPLIED MATHEMATICS, 1968, 26 (01) : 1 - &
[22] TIME-DEPENDENT CHANNEL FLOW OF A MICROPOLAR FLUID
KIRWAN, AD
NEWMAN, N
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1972, 10 (02) : 137 - &
[23] Defect correction method for viscoelastic fluid flows at high Weissenberg number
Ervin, VJ
Lee, H
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2006, 22 (01) : 145 - 164
[24] A time-dependent Fourier grid Hamiltonian-based formulation of time-dependent multi-configuration Hartree method
Kaushik Maji
S. P. Bhattacharyya
Pramana, 2004, 62 (4) : 983 - 991
[25] A time-dependent Fourier grid Hamiltonian-based formulation of time-dependent multi-configuration Hartree method
Maji, K
Bhattacharyya, SP
PRAMANA-JOURNAL OF PHYSICS, 2004, 62 (04): : L983 - L991
[26] Local Defect Correction for Time-Dependent Partial Differential Equations
Department of Mathematics and Computer Science, Eindhoven University of Technology, Den Dolech 2, 513, Eindhoven, 5600MB, Netherlands
Lect. Notes Comput. Sci. Eng., 2007, (691-698):
[27] THE DEFORMATION OF A VISCOELASTIC SPHERE IN A TIME-DEPENDENT SHEAR-FLOW
BITBOL, M
MILLS, P
JOURNAL DE PHYSIQUE LETTRES, 1984, 45 (16): : L775 - L780
[28] Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow
Andrea Bonito
Philippe Clément
Marco Picasso
Numerische Mathematik, 2007, 107 : 213 - 255
[29] TIME-DEPENDENT FLOW OF QUASI-LINEAR VISCOELASTIC FLUIDS
CHONG, JS
FRANKS, RGE
JOURNAL OF APPLIED POLYMER SCIENCE, 1970, 14 (06) : 1639 - &
[30] Investigation on boundary element method for solving the time-dependent compressible flow of fluid
School of Electrical Engineering, Shenyang University of Technology, Shenyang 110023, China
不详
Zhongguo Dianji Gongcheng Xuebao, 2006, 24 (186-191):

← 1 2 3 4 5 →