Publication

GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows

Marco Picasso
2001
Journal Articles

Abstract

In this paper, order one finite elements together with Galerkin least-squares (GLS) methods are used for solving a three-held Stokes problem arising from the numerical study of viscoelastic hows. Stability and convergence results are established, even when the solvent viscosity is small compared to the viscosity due to the polymer chains. An iterative algorithm decoupling velocity-pressure and stress calculations is proposed. The link with the modified elastic viscous split stress (EVSS) method studied in (M. Fortin, R. Guenette, R. Pierre, Comput. Methods Appl. Mech. Engrg. 143 (1997) 79-95; R. Guenette, M. Fortin, J. Non-Newtonian Fluid Mech. 60 (1995) 27-52) is presented. Numerical results are in agreement with theoretical predictions, and with those presented in (M. Fortin, R. Guenette, R. Pierre, Comput. Methods Appl. Mech. Engrg. 143 (1997) 79-95). (C) 2001 Elsevier Science B.V. All rights reserved.

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https://infoscience.epfl.ch/entities/publication/3abfb7b8-e1d3-45f1-88cb-0d22eb8968d1

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Marco Picasso
2001
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/3abfb7b8-e1d3-45f1-88cb-0d22eb8968d1

About this result

Related concepts (32)

Viscosity

The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. Viscosity is defined scientifically as a force multiplied by a time divided by an area. Thus its SI units are newton-seconds per square metre, or pascal-seconds. Viscosity quantifies the internal frictional force between adjacent layers of fluid that are in relative motion.

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