EGU25-13495, updated on 15 Mar 2025
https://doi.org/10.5194/egusphere-egu25-13495
EGU General Assembly 2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Investigating cutoff scales in turbulent Ekman flow with a map-based stochastic modeling approach
Marten Klein1,2 and Heiko Schmidt1,2
Marten Klein and Heiko Schmidt
  • 1Numerical Fluid and Gas Dynamics, Brandenburg University of Technology Cottbus-Senftenberg, Cottbus, Germany
  • 2Scientific Computing Lab, Energy Innovation Center, Cottbus, Germany

The Ozmidov scale marks the cutoff scale above which overturning fluid motions in stably stratified shear flows are energetically prohibited. A recent study of a turbulent shear layer demonstrates that the Corrsin scale provides an intrinsic cutoff scale when stratification is absent [1]. For the neutral boundary layer, it is proposed by analogy to the mixing layer that the cutoff scale is linked to the Corrsin scale rather than the unbounded Ozmidov scale. The claim is numerically investigated for turbulent Ekman flow with the aid of Kerstein’s one-dimensional turbulence (ODT) model [2], utilizing the case setup described in [3]. ODT offers full-scale resolution along a vertical coordinate by autonomously evolving the instantaneous property profiles. Molecular diffusion is directly resolved, whereas turbulent advection is modeled by a stochastic process that is formulated with the aid of spatial mapping events, which are sampled based on the local available energy. In this model formulation, a cutoff scale is economically prescribed by limiting the sampling range of turbulent scales. Model results in terms of low-order and detailed turbulence statistics will be presented and compared to available reference data and theoretical analysis.

References
[1] F. G. Jacobitz and K. Schneider. Phys. Rev. Fluids 9:044602, 2024.
[2] A. R. Kerstein and S. Wunsch. Bound.-Lay. Meteorol. 118:325–356, 2006.
[3] M. Klein and H. Schmidt. Adv. Sci. Res. 19:117–136, 2022.

How to cite: Klein, M. and Schmidt, H.: Investigating cutoff scales in turbulent Ekman flow with a map-based stochastic modeling approach, EGU General Assembly 2025, Vienna, Austria, 27 Apr–2 May 2025, EGU25-13495, https://doi.org/10.5194/egusphere-egu25-13495, 2025.

Supplementary materials

Supplementary material file

Comments on the supplementary material

AC: Author Comment | CC: Community Comment | Report abuse

supplementary materials version 1 – uploaded on 26 Apr 2025, no comments