Advances in Differential Equations

Boundary layer for a penalization method for viscous incompressible flow

Gilles Carbou and Pierre Fabrie

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To compute the flow around an obstacle, it is now quite classical to add in the equations a penalization term on this obstacle. From a computational point of view, this method gives very accurate results and avoids the use of an unstructured mesh to discretize the equations in complex geometry. The aim of this paper is to give a mathematical explanation of such good results. This study is performed for the incompressible Navier-Stokes equations.

Article information

Adv. Differential Equations, Volume 8, Number 12 (2003), 1453-1480.

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 76D05: Navier-Stokes equations [See also 35Q30]
Secondary: 35C20: Asymptotic expansions 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 76D10: Boundary-layer theory, separation and reattachment, higher-order effects 76M45: Asymptotic methods, singular perturbations


Carbou, Gilles; Fabrie, Pierre. Boundary layer for a penalization method for viscous incompressible flow. Adv. Differential Equations 8 (2003), no. 12, 1453--1480.

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