Energy Transfer from Large to Small Scales in Turbulence by Multiscale Nonlinear Strain and Vorticity Interactions.

  title={Energy Transfer from Large to Small Scales in Turbulence by Multiscale Nonlinear Strain and Vorticity Interactions.},
  author={Perry L. Johnson},
  journal={Physical review letters},
  volume={124 10},
An intrinsic feature of turbulent flows is an enhanced rate of mixing and kinetic energy dissipation due to the rapid generation of small-scale motions from large-scale excitation. The transfer of kinetic energy from large to small scales is commonly attributed to the stretching of vorticity by the strain rate, but strain self-amplification also plays a role. Previous treatments of this connection are phenomenological or inexact, or cannot distinguish the contribution of vorticity stretching… 

Figures from this paper

On the role of vorticity stretching and strain self-amplification in the turbulence energy cascade
Abstract The tendency of turbulent flows to produce fine-scale motions from large-scale energy injection is often viewed as a scale-wise cascade of kinetic energy driven by vorticity stretching. This
Scale-dependent anisotropy, energy transfer and intermittency in bubble-laden turbulent flows
Abstract Data from direct numerical simulations of disperse bubbly flows in a vertical channel are used to study the effect of the bubbles on the carrier-phase turbulence. We developed a new method,
The energy cascade as the origin of intense events in small-scale turbulence
  • A. Vela-Martín
  • Physics, Environmental Science
    Journal of Fluid Mechanics
  • 2022
Abstract This work presents evidence of the relation between the dynamics of intense events in the dissipative range of turbulence and the energy cascade. The generalised (Hölder) means are used to
Gabor mode enrichment in large eddy simulations of turbulent flow
  • A. Ghate, S. Lele
  • Environmental Science, Physics
    Journal of Fluid Mechanics
  • 2020
Abstract A turbulence enrichment model for subfilter-scale motions in large eddy simulations (LES) is comprehensively evaluated in the context of a posteriori analysis. The paper further develops the
Subgrid-scale models of isotropic turbulence need not produce energy backscatter
  • A. Vela-Martín
  • Environmental Science, Physics
    Journal of Fluid Mechanics
  • 2022
Abstract This investigation questions the importance of inverse interscale energy fluxes, the so-called energy backscatter, for the modelling of the energy cascade in large-eddy simulations (LES) of
Turbulence and heat transfer on a rotating, heated half soap bubble
Abstract We use direct numerical simulations to study the two-dimensional flow of a rotating, half soap bubble that is heated at its equator. The heating produces buoyancy and rotation generates
Temporal dynamics of the alignment of the turbulent stress and strain rate
Energy transfer between scales in the turbulent cascade requires geometric alignment between scale-dependent turbulent stresses and strain rates. However, each of these tensors evolves dynamically
A physics-inspired alternative to spatial filtering for large-eddy simulations of turbulent flows
Abstract Large-eddy simulations (LES) are widely used for computing high Reynolds number turbulent flows. Spatial filtering theory for LES is not without its shortcomings, including how to define
Lagrangian dynamics of the tensor diffusivity model for turbulent subfilter stresses
Large-eddy simulations (LES) are most often considered attempts to numerically approximate the solution to the filtered Navier-Stokes equations (Leonard 1974; Meneveau & Katz 2000; Sagaut 2006). LES
Hydrodynamic interactions and extreme particle clustering in turbulence
Abstract Expanding recent observations by Hammond & Meng (J. Fluid Mech., vol. 921, 2021, A16), we present a range of detailed experimental data of the radial distribution function (r.d.f.) of


Large-deviation statistics of vorticity stretching in isotropic turbulence.
It is shown in this paper, using the cumulant-generating function, that the cumulative vorticity stretching along a Lagrangian path in isotropic turbulence obeys a large deviation principle.
Viscous tilting and production of vorticity in homogeneous turbulence
Viscous depletion of vorticity is an essential and well known property of turbulent flows, balancing, in the mean, the net vorticity production associated with the vortex stretching mechanism. In
Scale locality of the energy cascade using real space quantities
© 2018 American Physical Society. The classical energy cascade in turbulence as described by Richardson and Kolmogorov is predominantly a conjecture relying on the locality of interactions between
Is vortex stretching the main cause of the turbulent energy cascade?
In three-dimensional turbulence there is on average a cascade of kinetic energy from the largest to the smallest scales of the flow. While the dominant idea is that the cascade occurs through the
Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence
The alignment between vorticity and eigenvectors of the strain‐rate tensor in numerical solutions of Navier–Stokes turbulence is studied. Solutions for isotropic flow and homogeneous shear flow from
An analysis of the energy transfer and the locality of nonlinear interactions in turbulence
Using the results of direct numerical simulations of isotropic turbulence, we compute detailed energy exchanges between different scales of motion and investigate how they contribute to the global
Local energy flux and subgrid-scale statistics in three-dimensional turbulence
Statistical properties of the subgrid-scale stress tensor, the local energy flux and filtered velocity gradients are analysed in numerical simulations of forced three-dimensional homogeneous
Multi-scale gradient expansion of the turbulent stress tensor
  • G. Eyink
  • Physics
    Journal of Fluid Mechanics
  • 2006
Turbulent stress is the fundamental quantity in the filtered equation for large-scale velocity that reflects its interactions with small-scale velocity modes. We develop an expansion of the turbulent
Lagrangian Dynamics and Models of the Velocity Gradient Tensor in Turbulent Flows
Various models that aim at understanding small-scale motions in turbulence using a small number of ordinary differential equations, written either as a low-dimensional dynamical system or as a set of stochastic differential equations are reviewed.
Localness of energy cascade in hydrodynamic turbulence. I. Smooth coarse graining
We introduce a novel approach to scale decomposition of the fluid kinetic energy (or other quadratic integrals) into band-pass contributions from a series of length scales. Our decomposition is based