Numerical Solution of 2D and 3D Atmospheric Boundary Layer Stratified Flows

Abstract

The work deals with the numerical solution of the 3D turbulent stratified flows in atmospheric boundary layer over the "sinus hill". Mathematical model for the turbulent stratified flows in atmospheric boundary layer is the Boussinesq model - Reynolds averaged Navier-Stokes equations (RANS) for incompressible turbulent flows with addition of the density change equation. The artificial compressibility method and the finite volume method have been used in all computed cases and Lax-Wendroff scheme (MacCormack form) has been used together with the Cebecci-Smith algebraic turbulence model. Computations have been performed with Reynold's number 108 ≈ u ∞ = 1.5 m/s and with density range ρ ∈ [1. 2; 1. 1] kg/m3}. © Springer-Verlag Berlin Heidelberg 2011.