New wall laws for the unsteady incompressible Navier-Stokes equations on rough domains

Barrenechea, Gabriel R. and Le Tallec, Patrick and Valentin, Frédéric (2002) New wall laws for the unsteady incompressible Navier-Stokes equations on rough domains. ESAIM: Mathematical Modelling and Numerical Analysis, 36 (2). pp. 177-203. ISSN 0764-583X (https://doi.org/10.1051/m2an:2002009)

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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.

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• Item metadata

  Item type:	Article
  ID code:	4885
  Dates:	Date Event 2002 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	27 Nov 2007
  Last modified:	08 Apr 2024 15:45
  URI:	https://strathprints.strath.ac.uk/id/eprint/4885