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Atmospheric Chemistry and Physics An interactive open-access journal of the European Geosciences Union
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Volume 14, issue 7
Atmos. Chem. Phys., 14, 3195–3210, 2014
https://doi.org/10.5194/acp-14-3195-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
Atmos. Chem. Phys., 14, 3195–3210, 2014
https://doi.org/10.5194/acp-14-3195-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 02 Apr 2014

Research article | 02 Apr 2014

Atmospheric waves as scaling, turbulent phenomena

J. Pinel and S. Lovejoy J. Pinel and S. Lovejoy
  • Physics, McGill University 3600 University St., Montreal, Que., Canada

Abstract. It is paradoxical that, while atmospheric dynamics are highly nonlinear and turbulent, atmospheric waves are commonly modelled by linear or weakly nonlinear theories. We postulate that the laws governing atmospheric waves are in fact high-Reynolds-number (Re), emergent laws so that – in common with the emergent high-Re turbulent laws – they are also constrained by scaling symmetries. We propose an effective turbulence–wave propagator which corresponds to a fractional and anisotropic extension of the classical wave equation propagator, with dispersion relations similar to those of inertial gravity waves (and Kelvin waves) yet with an anomalous (fractional) order Hwav/2. Using geostationary IR radiances, we estimate the parameters, finding that Hwav ≈ 0.17 ± 0.04 (the classical value = 2).

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