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

Abstract : Different effective boundary conditions or wall laws for unsteady incompressi- ble 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 incorporate- d 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.
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https://hal.inria.fr/inria-00072281
Contributor : Rapport de Recherche Inria <>
Submitted on : Tuesday, May 23, 2006 - 8:17:55 PM
Last modification on : Friday, January 10, 2020 - 12:02:24 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:01:54 PM

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  • HAL Id : inria-00072281, version 1

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Gabriel Raúl Barrenechea, Patrick Le Tallec, Frédéric Valentin. New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations on Rough Domains. [Research Report] RR-4306, INRIA. 2001. ⟨inria-00072281⟩

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