Courses - Post graduation


Group of Micrometeorology - IAG/USP


Micrometeorology - AGM 5804

Objective: Introducing and developing physical and mathematical concepts necessary to describe the behavior of atmospheric turbulence and its role in temporal and spatial evolution of the Planetary Boundary Layer (PBL).

Rationale: Micrometeorology has received special attention because of the increasing need of to understand meteorological phenomena resulting from the interaction between scales where the micro-scale phenomena are important. Knowledge of Micrometeorology is fundamental to the study of the environmental and climate issues contributing thus to a better management of natural resources and environmental problems.

Main topics: PBL structure; basics notions of vector and tensor; equations describing the balance of mass, momentum and energy; scale analysis of equations to describe the turbulent motions in the PBL; statistical treatment of turbulence; Reynolds average equations and first order closure problem; derivation of equations for the 2nd order statistical moments: turbulent kinetic energy, turbulent fluxes of momentum (Reynolds equation), sensible and latent heat, and second order closure problem; Similarity Theory of Monin-Obukhov, Free Convection, Local, etc..; Derivation of the energy balance at the surface and main methods for estimating turbulent flows; Spectral properties of atmospheric turbulence and main techniques for estimating the spectrum and co-spectrum: Fourier transform and wavelet, Kolmogorov hypotheses and its implications.

Bibliography: Aris, R, 1989: Vectors, Tensors and the Basic Equations of Fluid Mechanics. Dove, 286 pp.
Frisch, U., 1996: Turbulence -The legacy of A.N.Kolmogorov, Cambridge University Press, 296 pp.
Kaimal, J.C. and J.J. Finnigan, 1994: Atmospheric Boundary Layer Flows: Their Structure and Measurement, Oxford University Press, 289 pp.
Sorbjan, Z, 1989: Structure of the AtmosphericBoundary Layer, Prentice Hall, New Jersey, 317 pp.
Stull, R.B. 1988: An Introduction to Boundary Layer Meteorology, Kluwer Academic Publishers, Dorbrecht, 666 pp.
Panofsky, H.A. and J. A. Dutton, 1984: Atmospheric Turbulence - Models and Methods for Engineering Applications, John Wiley, New York, 397 pp.
Nieuwstadt, F.T.M. and H.von Dop, 1984: Atmospheric Turbulence and Air Pollution Modeling, D.Reidel, Dorbrecht, 358 pp.
Tennekes, H. and J. L. Lumley, 1972: A First Course in Turbulence, The MIT Press, Massachusetts, 300 pp.
Monin, A S. and A M. Yaglom, 1970: Statistical Fluid Mechanics, The MIT Press, Massachusetts, Vol. 1, 769 pp.

Requirement: None