60 citations · 730 across the 55 of their papers we have counts for
13 papers · 1 filter
On the collapse of three point vortices on surfaces
Theodore D. Drivas, Boris A. Khanikati, Valeriya A. Khanikati
Point vortices represent an important reduced model describing two-dimensional ideal fluid dynamics. It is well known that there exist three-vortex configurations on the Euclidean…
Mathematical Theorems on Turbulence
Theodore D. Drivas
In these notes, we emphasize Theorems rather than Theories concerning turbulent fluid motion. Such theorems can be viewed as constraints on the theoretical predictions and expectat…
Whither the Zeroth Law of Turbulence?
Kartik P. Iyer, Theodore D. Drivas, Gregory L. Eyink +1
Experimental and numerical studies of incompressible turbulence suggest that the mean dissipation rate of kinetic energy remains constant as the Reynolds number tends to infinity (…
Singular vortex pairs follow magnetic geodesics
Theodore D. Drivas, Daniil Glukhovskiy, Boris Khesin
We consider pairs of point vortices having circulations and and confined to a two-dimensional surface . In the limit of zero initial separation , we pro…
On the large-scale sweeping of small-scale eddies in turbulence -- A filtering approach
Theodore D. Drivas, Perry L. Johnson, Cristian C. Lalescu +1
We present an analysis of the Navier-Stokes equations based on a spatial filtering technique to elucidate the multi-scale nature of fully developed turbulence. In particular, the a…
Self-Regularization in turbulence from the Kolmogorov 4/5-Law and Alignment
Theodore D. Drivas
A defining feature of 3D hydrodynamic turbulence is that the rate of energy dissipation is bounded away from zero as viscosity is decreased (Reynolds number increased). This phenom…
The statistical geometry of material loops in turbulence
Lukas Bentkamp, Theodore D. Drivas, Cristian C. Lalescu +1
Material elements - which are lines, surfaces, or volumes behaving as passive, non-diffusive markers - provide an inherently geometric window into the intricate dynamics of chaotic…
Cascades and Dissipative Anomalies in Relativistic Fluid Turbulence
Gregory L. Eyink, Theodore D. Drivas
We develop first-principles theory of relativistic fluid turbulence at high Reynolds and Péclet numbers. We follow an exact approach pioneered by Onsager, which we explain as a non…
Cascades and Dissipative Anomalies in Compressible Fluid Turbulence
Gregory L. Eyink, Theodore D. Drivas
We investigate dissipative anomalies in a turbulent fluid governed by the compressible Navier-Stokes equation. We follow an exact approach pioneered by Onsager, which we explain as…
A Lagrangian fluctuation-dissipation relation for scalar turbulence, III. Turbulent Rayleigh-Bénard convection
Gregory L. Eyink, Theodore D. Drivas
A Lagrangian fluctuation-dissipation relation has been derived in a previous work to describe the dissipation rate of advected scalars, both passive and active, in wall-bounded flo…
A Lagrangian fluctuation-dissipation relation for scalar turbulence, II. Wall-bounded flows
Theodore D. Drivas, Gregory L. Eyink
We derive here Lagrangian fluctuation-dissipation relations for advected scalars in wall-bounded flows. The relations equate the dissipation rate for either passive or active scala…
A Lagrangian fluctuation-dissipation relation for scalar turbulence, I. Flows with no bounding walls
Theodore D. Drivas, Gregory L. Eyink
An exact relation is derived between scalar dissipation due to molecular diffusivity and the randomness of stochastic Lagrangian trajectories for flows without bounding walls. This…
Asymptotic results for backwards two-particle dispersion in a turbulent flow
Damien Benveniste, Theodore D. Drivas
We derive an exact equation governing two-particle backwards mean-squared dispersion for both deterministic and stochastic tracer particles in turbulent flows. For the deterministi…