Turbulence and Diffusion

The impact of micro-scale turbulence on the dynamics can be described in the statistical mean as an effective diffusivity. The statistical behavior of large-scale waves can be described as macro-turbulence. Both concepts need to be considered for a correct treatment of resolved and unresolved scales in numerical simulations.


For the topic, circulation models with parameterized turbulence were used (ICON-IAP and KMCM), partly coupled with a chemistry model (MECTM). Theoretical contributions on this subject were devoted to the problem of wave-induced mixing and turbulent closure at different scales.

Recent publications

  • Schaefer-Rolffs, U., R. Knöpfel & E. Becker, 2015: A scale invariance criterion for LES parametrizations. Meteorol. Z. 24,  1: 3-13, doi:10.1127/metz/2014/0623.
  • Schaefer-Rolffs, U., 2016: A generalized formulation of the dynamic Smagorinsky model. Meteorol. Z. 26,  2: 181-197, doi:10.1127/metz/2016/0801.
  • Schaefer-Rolffs, U., 2018: A comparison of different solutions for the Dynamic Smagorinsky Model applied in a GCM. Meteorol. Z. 27,  3: 249-261, doi:10.1127/metz/2018/0885.
  • Schaefer-Rolffs, U., 2018: The scale invariance criterion for geophysical fluids. Eur. Phys. J. B 74: 92.98, doi:10.1016/j.euromechflu.2018.11.005.
  • Schaefer-Rolffs, U. & E. Becker, 2018: Scale-Invariant Formulation of Momentum Diffusion for High-Resolution Atmospheric Circulation Models. Mon. Wea. Rev. 146,  4: 1045-1062, doi:10.1175/mwr-d-17-0216.1.


  • Erich Becker
  • Almut Gaßmann
  • Mikhailo Grygalashvyly
  • Urs Schaefer-Rolffs