Turbulence theories and statistical closure approaches
Y Zhou - Physics Reports, 2021 - Elsevier
When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …
equal importance to the three components of the scientific trinity: theoretical, experimental …
Statistical mechanics of two-dimensional and geophysical flows
F Bouchet, A Venaille - Physics reports, 2012 - Elsevier
The theoretical study of the self-organization of two-dimensional and geophysical turbulent
flows is addressed based on statistical mechanics methods. This review is a self-contained …
flows is addressed based on statistical mechanics methods. This review is a self-contained …
Kinetic theory of collisionless relaxation for systems with long-range interactions
PH Chavanis - Physica A: Statistical Mechanics and its Applications, 2022 - Elsevier
We develop the kinetic theory of collisionless relaxation for systems with long-range
interactions in relation to the statistical theory of Lynden-Bell. We treat the multi-level case …
interactions in relation to the statistical theory of Lynden-Bell. We treat the multi-level case …
Rare event-triggered transitions in aerodynamic bifurcation
The transitions between two states of a bistable system are investigated experimentally and
analyzed in the framework of rare-event statistics. Considering a disk pendulum swept by a …
analyzed in the framework of rare-event statistics. Considering a disk pendulum swept by a …
Cascades of enstrophy and helicity in turbulence without vortex stretching
We consider three-dimensional turbulence from which vortex stretching is removed. Using
direct numerical simulations, we show that in this system a dual cascade is observed …
direct numerical simulations, we show that in this system a dual cascade is observed …
Three-dimensional turbulence without vortex stretching
WJT Bos - Journal of Fluid Mechanics, 2021 - cambridge.org
We consider three-dimensional turbulence from which vortex stretching is removed. The
resulting system conserves enstrophy, but does not conserve kinetic energy. Using spectral …
resulting system conserves enstrophy, but does not conserve kinetic energy. Using spectral …
Modelling and analysis of turbulent datasets using auto regressive moving average processes
We introduce a novel way to extract information from turbulent datasets by applying an Auto
Regressive Moving Average (ARMA) statistical analysis. Such analysis goes well beyond …
Regressive Moving Average (ARMA) statistical analysis. Such analysis goes well beyond …
Statistical mechanics of two-dimensional Euler flows and minimum enstrophy states
A Naso, PH Chavanis, B Dubrulle - The European Physical Journal B, 2010 - Springer
A simplified thermodynamic approach of the incompressible 2D Euler equation is
considered based on the conservation of energy, circulation and microscopic enstrophy …
considered based on the conservation of energy, circulation and microscopic enstrophy …
A statistical mechanics framework for the large-scale structure of turbulent von Kármán flows
In the present paper, recent experimental results on large-scale coherent steady states
observed in experimental von Kármán flows are revisited from a statistical mechanics …
observed in experimental von Kármán flows are revisited from a statistical mechanics …
A critical transition of two-dimensional flow in toroidal geometry
We investigate two-dimensional (2-D) axisymmetric flow in toroidal geometry, with a focus
on a transition between 2-D three-component flow and 2-D two-component flow. This latter …
on a transition between 2-D three-component flow and 2-D two-component flow. This latter …