NUMERICAL-ANALYSIS OF A 3-FIELDS MODEL FOR A QUASI-NEWTONIAN FLOW

Authors
BARANGER J NAJIB K SANDRI D
Citation
J. Baranger et al., NUMERICAL-ANALYSIS OF A 3-FIELDS MODEL FOR A QUASI-NEWTONIAN FLOW, Computer methods in applied mechanics and engineering, 109(3-4), 1993, pp. 281-292
Citations number
15
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Computer Applications & Cybernetics","Engineering, Mechanical
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
109
Issue
3-4
Year of publication
1993
Pages
281 - 292
Database
ISI
SICI code
0045-7825(1993)109:3-4<281:NOA3MF>2.0.ZU;2-Y
Abstract
We study a finite element approximation of a non-linear three fields v ersion of Stokes' system for incompressible fluids. Such a problem ari ses when one considers a White-Metzner type model for a viscoelastic f luid flow and sets the relaxation time to zero. The non-linear aspect comes from the fact that a fraction of the viscosity of the fluid depe nds on the second invariant of the rate of deformation tenser. We give existence and unicity results for the continuous problem and its appr oximation and we prove the error bound.