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AGU: Geophysical Research Letters

 

Keywords

  • cascades
  • turbulence
  • multifractals

Index Terms

  • Nonlinear Geophysics: Cascades
  • Nonlinear Geophysics: Fractals and multifractals
  • Atmospheric Processes: Turbulence
  • Hydrology: Precipitation-radar
  • Atmospheric Processes: General circulation

Abstract

GEOPHYSICAL RESEARCH LETTERS, VOL. 36, L01801, 6 PP., 2009
doi:10.1029/2008GL035863

Atmospheric complexity or scale by scale simplicity?

S. Lovejoy

Physics, McGill University, Montreal, Quebec, Canada

D. Schertzer

CEREVE, Université Paris Est, Marne-la Vallée France

V. Allaire

Physics, McGill University, Montreal, Quebec, Canada

T. Bourgeois

CEREVE, Université Paris Est, Marne-la Vallée France

S. King

Physics, McGill University, Montreal, Quebec, Canada

J. Pinel

Physics, McGill University, Montreal, Quebec, Canada

J. Stolle

Physics, McGill University, Montreal, Quebec, Canada

Is the numerical integration of nonlinear partial differential equations the only way to tackle atmospheric complexity? Or do cascade dynamics repeating scale after scale lead to simplicity? Using 1000 orbits of TRMM satellite radiances from 11 bands in the short wave (visible, infra red) long wave (passive microwave) and radar regions and 8.8 to 20,000 km in scale, we find that the radiance gradients follow the predictions of cascade theories to within about ±0.5%, ±1.25%, ±5.9% for the short waves, long waves and reflectivities respectively and with outer scales varying between ≈5,000 to ≈32,000 km. Since the radiances and dynamics are strongly coupled, we conclude that weather can be accurately modeled as a cascade process.

Received 30 August 2008; accepted 10 November 2008; published 1 January 2009.

Citation: Lovejoy, S., D. Schertzer, V. Allaire, T. Bourgeois, S. King, J. Pinel, and J. Stolle (2009), Atmospheric complexity or scale by scale simplicity?, Geophys. Res. Lett., 36, L01801, doi:10.1029/2008GL035863.

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