EGU2020-8684
https://doi.org/10.5194/egusphere-egu2020-8684
EGU General Assembly 2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

A scale invariance criterion for geophysical fluids

Urs Schaefer-Rolffs
Urs Schaefer-Rolffs
  • Institut für Atmosphärenphysik, Kühlungsborn, Germany (schaefer-rolffs@iap-kborn.de)

Scale invariance of geophysical fluids is investigated in terms of a scale invariance criterion. It was developed by Schaefer-Rolffs et al. (2015) based on the implication that each scale invariant subrange shall have its own criterion. Two particular cases are considered, namely the synoptic scales with a significant Coriolis term and a case at smaller scales where the anelastic approximation is valid. The first case is characterized by a constant enstrophy cascade, while in the second case small-scale fluctuations of density, pressure, and temperature are taken into account. In both cases, the respective scale invariance criteria are applied to simple parameterizations of turbulent diffusion. It is demonstrated that only dynamic approaches are scale invariant.

How to cite: Schaefer-Rolffs, U.: A scale invariance criterion for geophysical fluids, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-8684, https://doi.org/10.5194/egusphere-egu2020-8684, 2020

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