Numerical solutions of Prandtl’s equation and Navier Stokes equations are considered for the two dimensional flow induced by an array of periodic rec- tilinear vortices interacting with an infinite plane. We show how this initial datum develops a separation singularity for Prandtl equation. We investigate the asymptotic validity of boundary layer theory considering numerical solu- tions for the full Navier Stokes equations at high Reynolds numbers.
DELLA ROCCA, G., GARGANO, F., SAMMARTINO, M., SCIACCA V (2008). High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex array. In Proceedings of "WASCOM 2007"---14TH CONFERENCE ON WAVES AND STABILITY IN CONTINUOUS MEDIA.
High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex array
GARGANO, Francesco;SAMMARTINO, Marco Maria Luigi;SCIACCA, Vincenzo
2008-01-01
Abstract
Numerical solutions of Prandtl’s equation and Navier Stokes equations are considered for the two dimensional flow induced by an array of periodic rec- tilinear vortices interacting with an infinite plane. We show how this initial datum develops a separation singularity for Prandtl equation. We investigate the asymptotic validity of boundary layer theory considering numerical solu- tions for the full Navier Stokes equations at high Reynolds numbers.
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