Multiscale velocity gradients in turbulence

PL Johnson, M Wilczek - Annual Review of Fluid Mechanics, 2024 - annualreviews.org
Understanding and predicting turbulent flow phenomena remain a challenge for both theory
and applications. The nonlinear and nonlocal character of small-scale turbulence can be …

Physics-informed machine learning of the Lagrangian dynamics of velocity gradient tensor

Y Tian, D Livescu, M Chertkov - Physical Review Fluids, 2021 - APS
Reduced models describing the Lagrangian dynamics of the velocity gradient tensor (VGT)
in homogeneous isotropic turbulence (HIT) are developed under the physics-informed …

Tailor-designed models for the turbulent velocity gradient through normalizing flow

M Carbone, VJ Peterhans, AS Ecker, M Wilczek - Physical Review Letters, 2024 - APS
Small-scale turbulence can be comprehensively described in terms of velocity gradients,
which makes them an appealing starting point for low-dimensional modeling. Typical …

Effect of porosity on the kinematics of free-falling porous disks

W Zhang, D Bi, Y Wei - Physics of Fluids, 2023 - pubs.aip.org
The effects of porosity on the kinematics of porous disks are investigated experimentally. A
new falling motion is identified, namely, spiral irregular motion, which is characterized by the …

Collision rate of bidisperse, hydrodynamically interacting spheres settling in a turbulent flow

J Dhanasekaran, A Roy, DL Koch - Journal of Fluid Mechanics, 2021 - cambridge.org
The collisions in a dilute polydisperse suspension of sub-Kolmogorov spheres with
negligible inertia settling in a turbulent flow and interacting through hydrodynamics including …

Asymptotic predictions on the velocity gradient statistics in low-Reynolds-number random flows: onset of skewness, intermittency and alignments

M Carbone, M Wilczek - Journal of Fluid Mechanics, 2024 - cambridge.org
Stirring a fluid through a Gaussian forcing at a vanishingly small Reynolds number produces
a Gaussian random field, while flows at higher Reynolds numbers exhibit non-Gaussianity …

Vortex gas modeling of turbulent circulation statistics

GB Apolinário, L Moriconi, RM Pereira, VJ Valadão - Physical Review E, 2020 - APS
Statistical properties of circulation encode relevant information about the multiscale structure
of turbulent cascades. Recent massive computational efforts have posed challenging …

Data-driven model for Lagrangian evolution of velocity gradients in incompressible turbulent flows

R Das, SS Girimaji - Journal of Fluid Mechanics, 2024 - cambridge.org
Velocity gradient tensor, is then exploited to derive a model based on a modified Ornstein–
Uhlenbeck process. These models are developed using data-driven strategies employing …

Exploring the turbulent velocity gradients at different scales from the perspective of the strain-rate eigenframe

J Tom, M Carbone, AD Bragg - Journal of Fluid Mechanics, 2021 - cambridge.org
Expressing the evolution equations for the filtered velocity gradient tensor (FVGT) in the
strain-rate eigenframe provides an insightful way to disentangle and understand various …

Model for the dynamics of micro-bubbles in high-Reynolds-number flows

Z Zhang, D Legendre, R Zamansky - Journal of Fluid Mechanics, 2019 - cambridge.org
We propose a model for the acceleration of micro-bubbles (smaller than the dissipative
scale of the flow) subjected to the drag and fluid inertia forces in a homogeneous and …