# Energy cascades in rapidly rotating and stratified turbulence within elongated domains

@article{vanKan2021EnergyCI, title={Energy cascades in rapidly rotating and stratified turbulence within elongated domains}, author={Adrian van Kan and Alexandros Alexakis}, journal={Journal of Fluid Mechanics}, year={2021}, volume={933} }

Abstract We study forced, rapidly rotating and stably stratified turbulence in an elongated domain using an asymptotic expansion at simultaneously low Rossby number $\mathit {Ro}\ll 1$ and large domain height compared with the energy injection scale, $h=H/\ell _{in}\gg 1$. The resulting equations depend on the parameter $\lambda =(h \mathit {Ro} )^{-1}$ and the Froude number $\mathit {Fr}$. An extensive set of direct numerical simulations (DNS) is performed to explore the parameter space…

## One Citation

Geometric microcanonical theory of two-dimensional Truncated Euler flows

- Physics, Mathematics
- 2021

This paper presents a geometric microcanonical ensemble perspective on two-dimensional Truncated Euler flows, which contain a finite number of (Fourier) modes and conserve energy and enstrophy. We…

## References

SHOWING 1-10 OF 108 REFERENCES

The transition from geostrophic to stratified turbulence

- PhysicsJournal of Fluid Mechanics
- 2006

We present numerical simulations of forced rotating stratified turbulence dominated by vortical motion (i.e. with potential vorticity). Strong stratification and various rotation rates are…

On the inverse cascade and flow speed scaling behaviour in rapidly rotating Rayleigh–Bénard convection

- PhysicsJournal of Fluid Mechanics
- 2021

Abstract Rotating Rayleigh–Bénard convection is investigated numerically with the use of an asymptotic model that captures the rapidly rotating, small Ekman number limit, $Ek \rightarrow 0$. The…

Scaling analysis and simulation of strongly stratified turbulent flows

- PhysicsJournal of Fluid Mechanics
- 2007

Direct numerical simulations of stably and strongly stratified turbulent flows with Reynolds number Re ≫ 1 and horizontal Froude number Fh ≪ 1 are presented. The results are interpreted on the basis…

Rotating Taylor–Green flow

- PhysicsJournal of Fluid Mechanics
- 2015

The steady state of a forced Taylor–Green flow is investigated in a rotating frame of reference. The investigation involves the results of 184 numerical simulations for different Reynolds numbers…

Large-scale vortices in rapidly rotating Rayleigh–Bénard convection

- PhysicsJournal of Fluid Mechanics
- 2014

Abstract Using numerical simulations of rapidly rotating Boussinesq convection in a Cartesian box, we study the formation of long-lived, large-scale, depth-invariant coherent structures. These…

Condensates in rotating turbulent flows

- PhysicsJournal of Fluid Mechanics
- 2018

Using a large number of numerical simulations we examine the steady state of rotating turbulent flows in triple periodic domains, varying the Rossby number $Ro$ (that measures the inverse rotation…

Critical transitions in thin layer turbulence

- Physics, Materials ScienceJournal of Fluid Mechanics
- 2017

We investigate a model of thin layer turbulence that follows the evolution of the two-dimensional motions $\boldsymbol{u}_{2D}(x,y)$ along the horizontal directions $(x,y)$ coupled to a single…

Generation of slow large scales in forced rotating stratified turbulence

- PhysicsJournal of Fluid Mechanics
- 2002

Numerical simulations are used to study homogeneous, forced turbulence in three-dimensional rotating, stably stratified flow in the Boussinesq approximation, where the rotation axis and gravity are…

Large-scale anisotropy in stably stratified rotating flows.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

It is shown that solutions with negative energy flux and inverse cascades develop in rotating turbulence, whether or not stratification is present, and that the purely stratified case is characterized instead by an early-time, highly anisotropic transfer to large scales with almost zero net isotropic energy flux.

Inverse cascade and symmetry breaking in rapidly rotating Boussinesq convection

- Physics
- 2014

In this paper, we present numerical simulations of rapidly rotating Rayleigh-Benard convection in the Boussinesq approximation with stress-free boundary conditions. At moderately low Rossby number…