Energy transfer in turbulence under rotation
arXiv:1711.07054 · doi:10.1103/PhysRevFluids.3.034802
Abstract
It is known that rapidly rotating turbulent flows are characterized by the emergence of simultaneous upscale and downscale energy transfer. Indeed, both numerics and experiments show the formation of large-scale anisotropic vortices together with the development of small-scale dissipative structures. However the organization of interactions leading to this complex dynamics remains unclear. Two different mechanisms are known to be able to transfer energy upscale in a turbulent flow. The first is characterized by two-dimensional interactions among triads lying on the two-dimensional, three-component (2D3C) manifold, namely on the Fourier plane perpendicular to the rotation axis. The second mechanism is three-dimensional and consists of interactions between triads with the same sign of helicity (homochiral). Here, we present a detailed numerical study of rotating flows using a suite of high Reynolds number direct numerical simulations within different parameter regimes to analyze both upscale and downscale cascade ranges. We find that the upscale cascade at wave numbers close to the forcing scale is generated by increasingly dominant homochiral interactions which couple the three-dimensional bulk and the 2D3C plane. This coupling produces an accumulation of energy in the 2D3C plane, which then transfers energy to smaller wave numbers thanks to the two-dimensional mechanism. In the forward cascade range, we find that the energy transfer is dominated by heterochiral triads and is dominated primarily by interaction within the fast manifold where . We further analyze the energy transfer in different regions in the real-space domain. In particular, we distinguish high-strain from high-vorticity regions and we uncover that while the mean transfer is produced inside regions of strain, the rare but extreme events of energy transfer occur primarily inside the large-scale column vortices.
References in corpus (9)
- Scale interactions and scaling laws in rotating flows at moderate Rossby numbers and large Reynolds numbers
- Mapping the Energy Cascade in the North Atlantic Ocean: The Coarse-graining Approach
- Coherent structures and extreme events in rotating multiphase turbulent flows
- Effect of filter type on the statistics of energy transfer between resolved and subfilter scales from a-priori analysis of direct numerical simulations of isotropic turbulence
- Energy Cascade and Intermittency in Helically Decomposed Navier-Stokes Equations
- Rotating Taylor-Green Flow
- Inverse cascades and alpha-effect at low magnetic Prandtl number
- From two-dimensional to three-dimensional turbulence through two-dimensional three-component flows
- Non-universal behaviour of helical two-dimensional three-component turbulence
Cited by in corpus (23)
- Cascades and transitions in turbulent flows
- Reconstruction of turbulent data with deep generative models for semantic inpainting from TURB-Rot database
- Pattern formation by turbulent cascades
- Critical transition in fast-rotating turbulence within highly elongated domains
- Variable energy flux in turbulence
- Spatio-temporal coarse-graining decomposition of the global ocean geostrophic kinetic energy
- On the thermal equilibrium state of large scale flows
- Baropycnal Work: A Mechanism for Energy Transfer Across Scales
- Phase transitions and flux-loop metastable states in rotating turbulence
- Regime Transition in the Energy Cascade of Rotating Turbulence
- Onset of three-dimensionality in rapidly rotating turbulent flows
- On the inverse energy transfer in rotating turbulence
- Interplay between geostrophic vortices and inertial waves in precession-driven turbulence
- Generative Adversarial Networks to infer velocity components in rotating turbulent flows
- Non-universal behaviour of helical two-dimensional three-component turbulence
- Chaotic measure of the transition between two and three dimensional turbulence
- Inertial range statistics of the Entropic Lattice Boltzmann in 3D turbulence
- Dynamic Phase Alignment in Navier-Stokes Turbulence
- Inverse cascade suppression and shear layer formation in MHD turbulence subject to a guide field and misaligned rotation
- Partial invariants, large-scale dynamo action, and the inverse transfer of magnetic helicity
- Locality of triad interaction and Kolmogorov constant in inertial wave turbulence
- Geophysical flows over topography, a playground for laboratory experiments
- Evolution of a Stratified Turbulent Cloud under Rotation