An adaptive finite element method for Bingham fluid flows around a cylinder

被引：126

作者：

Roquet, N ^{[1
]}

Saramito, P ^{[1
]}

机构：

[1] IMAG, LMC, F-38041 Grenoble 9, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2003年 / 192卷 / 31-32期

关键词：

yield stress fluids; Bingham model; variational inequalities; flow around a cylinder; adaptive mesh; mixed finite element methods;

D O I：

10.1016/S0045-7825(03)00262-7

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The numerical modeling of the steady flow of a yield stress fluid around a cylinder is presented. Three categories of yielded regions are exhibited. The asymptotic behavior when the cylinder gets close to the wall is investigated. The resolution of variational inequalities describing the flow is based on the augmented Lagrangian method and a mixed finite element method. The localization of yield surfaces is approximated by an anisotropic auto-adaptive mesh procedure. (C) 2003 Elsevier B.V. All rights reserved.

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页码：3317 / 3341

页数：25

相关论文

共 30 条

[1] CREEPING FLOW OF A VISCOPLASTIC FLUID PAST A CIRCULAR CYLINDER [J].

ADACHI, K ;

YOSHIOKA, N .

CHEMICAL ENGINEERING SCIENCE, 1973, 28 (01) :215-226

[2] CREEPING SPHERE MOTION IN HERSCHEL-BULKLEY FLUIDS - FLOW-FIELD AND DRAG [J].

ATAPATTU, DD ;

CHHABRA, RP ;

UHLHERR, PHT .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1995, 59 (2-3) :245-265

[3] WALL EFFECT FOR SPHERES FALLING AT SMALL REYNOLDS-NUMBER IN A VISCOPLASTIC MEDIUM [J].

ATAPATTU, DD ;

CHHABRA, RP ;

UHLHERR, PHT .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1990, 38 (01) :31-42

[4]

BATCHELOR GK, 1981, INTRO FLUID DYANMICS

[5] Creeping motion of a sphere in tubes filled with Herschel-Bulkley fluids [J].

Beaulne, M ;

Mitsoulis, E .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1997, 72 (01) :55-71

[6] A FINITE-ELEMENT METHOD FOR INCOMPRESSIBLE NON-NEWTONIAN FLOWS [J].

BERCOVIER, M ;

ENGELMAN, M .

JOURNAL OF COMPUTATIONAL PHYSICS, 1980, 36 (03) :313-326

[7] CREEPING MOTION OF A SPHERE THROUGH A BINGHAM PLASTIC [J].

BERIS, AN ;

TSAMOPOULOS, JA ;

ARMSTRONG, RC ;

BROWN, RA .

JOURNAL OF FLUID MECHANICS, 1985, 158 (SEP) :219-244

[8]

Bingham E.C., 1922, FLUIDITY PLASTICITY

[9] Creeping motion of a sphere in tubes filled with a Bingham plastic material [J].

Blackery, J ;

Mitsoulis, E .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 1997, 70 (1-2) :59-77

[10] Delaunay mesh generation governed by metric specifications .1. Algorithms [J].

Borouchaki, H ;

George, PL ;

Hecht, F ;

Laug, P ;

Saltel, E .

FINITE ELEMENTS IN ANALYSIS AND DESIGN, 1997, 25 (1-2) :61-83