# Stick-slip transition capturing by using an adaptive finite element method

Nicolas Roquet; Pierre Saramito

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 38, Issue: 2, page 249-260
- ISSN: 0764-583X

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topRoquet, Nicolas, and Saramito, Pierre. "Stick-slip transition capturing by using an adaptive finite element method." ESAIM: Mathematical Modelling and Numerical Analysis 38.2 (2010): 249-260. <http://eudml.org/doc/194213>.

@article{Roquet2010,

abstract = {
The numerical modeling of the fully developed Poiseuille flow
of a Newtonian fluid in a square section with
slip 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 describing
the slip yield effect, from a full slip to a full stick flow regime.
The resolution of variational inequalities
describing the flow is based on the augmented Lagrangian method and a
finite element method. The localization of the
stick-slip transition points is approximated by an
anisotropic auto-adaptive mesh procedure.
The singular behavior of the solution at the neighborhood of the
stick-slip transition point is investigated.
},

author = {Roquet, Nicolas, Saramito, Pierre},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Slip boundary condition; stick-slip problem;
variational inequalities; adaptive mesh; computational fluid mechanics.},

language = {eng},

month = {3},

number = {2},

pages = {249-260},

publisher = {EDP Sciences},

title = {Stick-slip transition capturing by using an adaptive finite element method},

url = {http://eudml.org/doc/194213},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Roquet, Nicolas

AU - Saramito, Pierre

TI - Stick-slip transition capturing by using an adaptive finite element method

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 2

SP - 249

EP - 260

AB -
The numerical modeling of the fully developed Poiseuille flow
of a Newtonian fluid in a square section with
slip 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 describing
the slip yield effect, from a full slip to a full stick flow regime.
The resolution of variational inequalities
describing the flow is based on the augmented Lagrangian method and a
finite element method. The localization of the
stick-slip transition points is approximated by an
anisotropic auto-adaptive mesh procedure.
The singular behavior of the solution at the neighborhood of the
stick-slip transition point is investigated.

LA - eng

KW - Slip boundary condition; stick-slip problem;
variational inequalities; adaptive mesh; computational fluid mechanics.

UR - http://eudml.org/doc/194213

ER -

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