Numerical solutions of Prandtl’s equation and Navier Stokes equations areconsidered for the two dimensional flow induced by an array of periodic rec-tilinear vortices interacting with an infinite plane. We show how this initialdatum develops a separation singularity for Prandtl equation. We investigatethe asymptotic validity of boundary layer theory considering numerical solu-tions for the full Navier Stokes equations at high Reynolds numbers.
title = "High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex array",
abstract = "Numerical solutions of Prandtl{\textquoteright}s equation and Navier Stokes equations areconsidered for the two dimensional flow induced by an array of periodic rec-tilinear vortices interacting with an infinite plane. We show how this initialdatum develops a separation singularity for Prandtl equation. We investigatethe asymptotic validity of boundary layer theory considering numerical solu-tions for the full Navier Stokes equations at high Reynolds numbers.",
author = "Vincenzo Sciacca and Francesco Gargano and Sammartino, {Marco Maria Luigi}",
year = "2008",
language = "English",
}
TY - CONF
T1 - High Reynolds number Navier-Stokes solutions and boundary layer separation induced by a rectilinear vortex array
AU - Sciacca, Vincenzo
AU - Gargano, Francesco
AU - Sammartino, Marco Maria Luigi
PY - 2008
Y1 - 2008
N2 - Numerical solutions of Prandtl’s equation and Navier Stokes equations areconsidered for the two dimensional flow induced by an array of periodic rec-tilinear vortices interacting with an infinite plane. We show how this initialdatum develops a separation singularity for Prandtl equation. We investigatethe asymptotic validity of boundary layer theory considering numerical solu-tions for the full Navier Stokes equations at high Reynolds numbers.
AB - Numerical solutions of Prandtl’s equation and Navier Stokes equations areconsidered for the two dimensional flow induced by an array of periodic rec-tilinear vortices interacting with an infinite plane. We show how this initialdatum develops a separation singularity for Prandtl equation. We investigatethe asymptotic validity of boundary layer theory considering numerical solu-tions for the full Navier Stokes equations at high Reynolds numbers.