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Fluid Dynamics and Meteorology

  • Antonio Romano
  • Addolorata Marasco
Chapter
  • 2.4k Downloads
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

Abstract

After a brief history of scientific meteorology, the atmosphere is described as a complex mixture. For this model we write the so-called primitive equations which are very difficult to solve even numerically. These equations are simplified by resorting to drastic approximations: The Hydrostatic and Tangent Approximations. Then, we prove the important Bjerknes and Ertel theorems. To justify the influence of the lower layers of atmosphere on meteorological phenomena Reynolds’ turbolence is introduced. The effects of viscosity are considered in the Oberbeck–Boussinesq equations and Saltzmann equations. Lorentz solved these last equations by Fourier’s expansion and this approach leads him to an ordinary system of differential equations, whose solutions generate the deterministic chaos.

Keywords

Rayleigh Number Inertial Frame Equilibrium Configuration Boussinesq Equation Primitive Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Antonio Romano
    • 1
  • Addolorata Marasco
    • 1
  1. 1.Department of Mathematics and Applications “R. Caccioppoli”University of Naples Federico IINaplesItaly

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