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.
ORCID iDs
Barrenechea, Gabriel R. ORCID: https://orcid.org/0000-0003-4490-678X, Le Tallec, Patrick and Valentin, Frédéric;-
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Item type: Article ID code: 4885 Dates: DateEvent2002PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Strathprints Administrator Date deposited: 27 Nov 2007 Last modified: 31 Aug 2024 00:44 URI: https://strathprints.strath.ac.uk/id/eprint/4885