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Stick-slip transition capturing by usingan adaptive finite element method

Published online by Cambridge University Press:  15 March 2004

Nicolas Roquet  and
Pierre Saramito
Nicolas Roquet
Affiliation:
LMC-IMAG, BP 53, 38041 Grenoble Cedex 9, France.
Pierre Saramito
Affiliation:
LMC-IMAG, BP 53, 38041 Grenoble Cedex 9, France, Pierre.Saramito@imag.fr.
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Abstract

The numerical modeling of the fully developed Poiseuille flowof a Newtonian fluid in a square section withslip yield boundary condition at the wall is presented.The stick regions in outer corners and the slip region in the center of the pipe faces are exhibited.Numerical computations cover the complete range of the dimensionless number describingthe slip yield effect, from a full slip to a full stick flow regime.The resolution of variational inequalitiesdescribing the flow is based on the augmented Lagrangian method and afinite element method. The localization of thestick-slip transition points is approximated by ananisotropic auto-adaptive mesh procedure.The singular behavior of the solution at the neighborhood of thestick-slip transition point is investigated.

Keywords

Slip boundary conditionstick-slip problemvariational inequalitiesadaptive meshcomputational fluid mechanics.

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 38 , Issue 2 , March 2004 , pp. 249 - 260
Copyright
© EDP Sciences, SMAI, 2004

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