A semi-analytical solution for the mean wind profile in the Atmospheric Boundary Layer: the convective case
1Universidade Federal de Santa Maria, Departamento de Física, Santa Maria, RS, Brazil
2Universidade Federal do Pampa/UFSM, Centro de Ciências Exatas e Tecnológicas, Bagé, RS, Brazil
3Centro de Educação Superior do Alto Vale do Itajaí, UDESC/CEAVI, Ibirama, SC, Brazil
Abstract. A novel methodology to derive the average wind profile from the Navier-Stokes equations is presented. The development employs the Generalized Integral Transform Technique (GITT), which combines series expansions with Integral Transforms. The new approach provides a solution described in terms of the quantities that control the wind vector with height. Parameters, such as divergence and vorticity, whose magnitudes represent sinoptic patterns are contained in the semi-analytical solution. The results of this new method applied to the convective boundary layer are shown to agree with wind data measured in Wangara experiment.