New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations on Rough Domains

Gabriel R. Barrenechea; Patrick Le Tallec; Frédéric Valentin

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 36, Issue: 2, page 177-203
  • ISSN: 0764-583X

Abstract

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Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic expansion techniques. The roughness elements are supposed to be periodic and the influence of the rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady Stokes problems and so they are calculated only once. Numerical tests are presented to validate and compare the proposed boundary conditions.

How to cite

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Barrenechea, Gabriel R., Le Tallec, Patrick, and Valentin, Frédéric. "New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations on Rough Domains." ESAIM: Mathematical Modelling and Numerical Analysis 36.2 (2010): 177-203. <http://eudml.org/doc/194100>.

@article{Barrenechea2010,
abstract = { Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic expansion techniques. The roughness elements are supposed to be periodic and the influence of the rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady Stokes problems and so they are calculated only once. Numerical tests are presented to validate and compare the proposed boundary conditions. },
author = {Barrenechea, Gabriel R., Le Tallec, Patrick, Valentin, Frédéric},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Wall law; unsteady Navier-Stokes equations; asymptotic analysis; rough boundary.; rough boundary; two-scale asymptotic expansion},
language = {eng},
month = {3},
number = {2},
pages = {177-203},
publisher = {EDP Sciences},
title = {New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations on Rough Domains},
url = {http://eudml.org/doc/194100},
volume = {36},
year = {2010},
}

TY - JOUR
AU - Barrenechea, Gabriel R.
AU - Le Tallec, Patrick
AU - Valentin, Frédéric
TI - New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations on Rough Domains
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 36
IS - 2
SP - 177
EP - 203
AB - Different effective boundary conditions or wall laws for unsteady incompressible Navier-Stokes equations over rough domains are derived in the laminar setting. First and second order unsteady wall laws are proposed using two scale asymptotic expansion techniques. The roughness elements are supposed to be periodic and the influence of the rough boundary is incorporated through constitutive constants. These constants are obtained by solving steady Stokes problems and so they are calculated only once. Numerical tests are presented to validate and compare the proposed boundary conditions.
LA - eng
KW - Wall law; unsteady Navier-Stokes equations; asymptotic analysis; rough boundary.; rough boundary; two-scale asymptotic expansion
UR - http://eudml.org/doc/194100
ER -

References

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