Dissipation-range fluid turbulence and thermal noise
We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid
turbulence and estimate the scale at which they become important. As anticipated by …
turbulence and estimate the scale at which they become important. As anticipated by …
Asymptotic exponents from low-Reynolds-number flows
J Schumacher, KR Sreenivasan… - New Journal of …, 2007 - iopscience.iop.org
The high-order statistics of fluctuations in velocity gradients in the crossover range from the
inertial to the Kolmogorov and sub-Kolmogorov scales are studied by direct numerical …
inertial to the Kolmogorov and sub-Kolmogorov scales are studied by direct numerical …
Hidden scale invariance of turbulence in a shell model: From forcing to dissipation scales
AA Mailybaev - Physical Review Fluids, 2023 - APS
Intermittency is one of the central obstacles for understanding small-scale dynamics in the
fully developed hydrodynamic turbulence. The modern approach is largely based on the …
fully developed hydrodynamic turbulence. The modern approach is largely based on the …
Chaotic blowup in the 3D incompressible Euler equations on a logarithmic lattice
CS Campolina, AA Mailybaev - Physical review letters, 2018 - APS
The dispute on whether the three-dimensional (3D) incompressible Euler equations develop
an infinitely large vorticity in a finite time (blowup) keeps increasing due to ambiguous …
an infinitely large vorticity in a finite time (blowup) keeps increasing due to ambiguous …
Thermal noise competes with turbulent fluctuations below millimeter scales
Turbulent flows frequently accompany physical, chemical and biological processes, such as
mixing, two-phase flow, combustion and even foraging by bacteria and plankton larvae, all …
mixing, two-phase flow, combustion and even foraging by bacteria and plankton larvae, all …
Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence
R Dascaliuc, C Foias, MS Jolly - Journal of differential Equations, 2010 - Elsevier
We construct semi-integral curves which bound the projection of the global attractor of the 2-
D Navier–Stokes equations in the plane spanned by enstrophy and palinstrophy. Of …
D Navier–Stokes equations in the plane spanned by enstrophy and palinstrophy. Of …
Alignment of velocity and vorticity and the intermittent distribution of helicity in isotropic turbulence
We provide an observation suggesting a strong correlation between helicity and enstrophy
in fluid turbulence. Helicity statistics were obtained in a direct numerical simulation of forced …
in fluid turbulence. Helicity statistics were obtained in a direct numerical simulation of forced …
Dissipation scales of kinetic helicities in turbulence
A systematic study of the influence of the viscous effect on both the spectra and the
nonlinear fluxes of conserved as well as nonconserved quantities in Navier–Stokes …
nonlinear fluxes of conserved as well as nonconserved quantities in Navier–Stokes …
Dissipation-range fluid turbulence and thermal noise
We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid
turbulence, and estimate the scale at which they become important. As anticipated by …
turbulence, and estimate the scale at which they become important. As anticipated by …
Robust Exponential Runge-Kutta Embedded Pairs
T Zoto, JC Bowman - arXiv preprint arXiv:2303.12139, 2023 - arxiv.org
Exponential integrators are explicit methods for solving ordinary differential equations that
treat linear behaviour exactly. The stiff-order conditions for exponential integrators derived in …
treat linear behaviour exactly. The stiff-order conditions for exponential integrators derived in …