Inexact Newton-type methods for the solution of steady incompressible viscoplastic flows with the SUPG/PSPG finite element formulation

被引：11

作者：

Elias, RN ^{[1
]}

Coutinho, ALGA ^{[1
]}

Martins, MAD ^{[1
]}

机构：

[1] Univ Fed Rio de Janeiro, Dept Civil Engn, Ctr Parallel Computat, BR-21945970 Rio De Janeiro, Brazil

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 195卷 / 23-24期

关键词：

inexact Newton; viscoplastic flow; stabilized formulations; finite elements;

D O I：

10.1016/j.cma.2004.08.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work we evaluate the performance of inexact Newton-type schemes to solve the nonlinear equations arising from the SUPG/PSPG finite element formulation of steady viscoplastic incompressible fluid flows. The flow through all abrupt contraction and the rotational flow in eccentric annulus with power law and Bingham rheologies are employed as benchmarks. Our results have shown that inexact schemes are more efficient than traditional Newton-type strategies. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：3145 / 3167

页数：23

共 9 条

[1] Parallel edge-based solution of viscoplastic flows with the SUPG/PSPG formulation
Renato N. Elias
Marcos A. D. Martins
Alvaro L. G. A. Coutinho
Computational Mechanics, 2006, 38 : 365 - 381
[2] Parallel edge-based solution of viscoplastic flows with the SUPG/PSPG formulation
Elias, Renato N.
Martins, Marcos A. D.
Coutinho, Alvaro L. G. A.
COMPUTATIONAL MECHANICS, 2006, 38 (4-5) : 365 - 381
[3] Newton-type methods for the mixed finite element discretization of some degenerate parabolic equations
Radu, Florin A.
Pop, Iuliu Sorin
Knabner, Peter
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 2006, : 1192 - +
[4] STABILIZED FINITE-ELEMENT METHODS FOR THE VELOCITY PRESSURE STRESS FORMULATION OF INCOMPRESSIBLE FLOWS
BEHR, MA
FRANCA, LP
TEZDUYAR, TE
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1993, 104 (01) : 31 - 48
[5] Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows - Nonlinear model
Zhou, L
Zhou, TX
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 81 (01) : 19 - 28
[6] Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows nonlinear model
Research Inst, Aeronautic Computing Technique, PO Box 90, Xi'an 710068, China
J Comput Appl Math, 1 (19-28):
[7] Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations
Zhu, Tielei
Su, Haiyan
Feng, Xinlong
APPLIED MATHEMATICS AND COMPUTATION, 2017, 302 : 34 - 47
[8] A fractional four-step finite element formulation of the unsteady incompressible Navier-Stokes equations using SUPG and linear equal-order element methods
Choi, HG
Choi, H
Yoo, JY
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1997, 143 (3-4) : 333 - 348
[9] Evaluation of a Control-Volume Based Finite-Element Collocated Scheme for the Solution of External Steady and Unsteady Incompressible Flows at Low Reynolds Numbers
Khoshlessan, M.
Karimian, S. M. H.
Daemi, N.
11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 1421 - 1424

← 1 →