Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You and Your Team.

Learn More →

A DECOUPLED FINITE ELEMENT METHOD TO COMPUTE STATIONARY UPPERCONVECTED MAXWELL FLUID FLOW IN 2D CONVERGENT GEOMETRY

A DECOUPLED FINITE ELEMENT METHOD TO COMPUTE STATIONARY UPPERCONVECTED MAXWELL FLUID FLOW IN 2D... In this study, the stationary flow of a polymeric fluid governed by the upper convected Maxwell law is computed in a 2D convergent geometry. A finite element method is used to obtain nonlinear discretized equations, solved by an iterative Picard fixed point algorithm. At each step, two subsystems are successively solved. The first one represents a Newtonian fluid flow Stokes equations perturbed by known pseudobody forces expressing fluid elasticity. It is solved by minimization of a functional of the velocity field, while the pressure is eliminated by penalization. The second subsystem reduces to the tensorial differential evolution equation of the extrastress tensor for a given velocity field. It is solved by the socalled nonconsistent PetrovGalerkin streamline upwind method. As with other decoupled techniques applied to this problem, our simulation fails for relatively low values of the Weissenberg viscoelastic number. The value of the numerical limit point depends on the mesh refinement. When convergence is reached, the numerical solutions for velocity, pressure and stress fields are similar to those obtained by other authors with very costly mixed methods. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

A DECOUPLED FINITE ELEMENT METHOD TO COMPUTE STATIONARY UPPERCONVECTED MAXWELL FLUID FLOW IN 2D CONVERGENT GEOMETRY

Engineering Computations , Volume 9 (3): 13 – Mar 1, 1992

Loading next page...
 
/lp/emerald-publishing/a-decoupled-finite-element-method-to-compute-stationary-upperconvected-MRPY9u0Tni
Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0264-4401
DOI
10.1108/eb023873
Publisher site
See Article on Publisher Site

Abstract

In this study, the stationary flow of a polymeric fluid governed by the upper convected Maxwell law is computed in a 2D convergent geometry. A finite element method is used to obtain nonlinear discretized equations, solved by an iterative Picard fixed point algorithm. At each step, two subsystems are successively solved. The first one represents a Newtonian fluid flow Stokes equations perturbed by known pseudobody forces expressing fluid elasticity. It is solved by minimization of a functional of the velocity field, while the pressure is eliminated by penalization. The second subsystem reduces to the tensorial differential evolution equation of the extrastress tensor for a given velocity field. It is solved by the socalled nonconsistent PetrovGalerkin streamline upwind method. As with other decoupled techniques applied to this problem, our simulation fails for relatively low values of the Weissenberg viscoelastic number. The value of the numerical limit point depends on the mesh refinement. When convergence is reached, the numerical solutions for velocity, pressure and stress fields are similar to those obtained by other authors with very costly mixed methods.

Journal

Engineering ComputationsEmerald Publishing

Published: Mar 1, 1992

There are no references for this article.

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$499/year

Save searches from
Google Scholar,
PubMed

Create folders to
organize your research

Export folders, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month