Article
Mechanics
Damiano Capocci, Perry L. Johnson, Sean Oughton, Luca Biferale, Moritz Linkmann
Summary: In this study, the relative contributions of different physical mechanisms to the energy cascade and helicity transfer in turbulence are quantified. It is found that scale-local vortex flattening and twisting dominate the helicity transfer, accounting for approximately 50% of the mean flux. A new exact relation between these effects is derived, showing the dominance of vortex flattening over twisting. The remaining 50% of the mean flux is attributed to multi-scale vortex flattening, twisting, and entangling.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
P. Baj, F. Alves Portela, D. W. Carter
Summary: In this study, we characterize the incompressible turbulence cascade by examining the inter-scale and inter-space exchanges of scale-by-scale energy, helicity, and enstrophy. We derive governing equations for scale-by-scale helicity and enstrophy similar to the second order structure function. Our analysis focuses on forced periodic turbulence and von Karman flow at different scales. We observe the random sweeping effect in all three individual budgets and between energy and enstrophy transfers. Additionally, we find a kinematic connection between the energy cascade and helicity. Overall, this work extends a classic framework and provides novel insights into turbulence dynamics.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Rishita Das, Sharath S. Girimaji
Summary: By examining the effects of large-scale forcing on small-scale velocity-gradient (VG) dynamics, we found that forcing has subtle but crucial implications on the local streamline geometry, VG magnitude, and dissipation intensity. The interplay between forcing and inertia, pressure, and viscous effects leads to different balance outcomes under different topology conditions. These findings contribute to a better understanding of small-scale processes in turbulence and offer guidance for the development of VG models.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
L. Djenidi, R. A. Antonia
Summary: The study shows that there are differences in the solutions of the Karman-Howarth equation between forced turbulence and decaying turbulence, mainly due to the generation of large-scale motions in forced turbulence. As the Reynolds number increases, the impact of forcing on small scales decreases, allowing the KHEq solutions to agree well with spectrally based solutions at scales unaffected by forcing.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Maurizio Carbone, Michael Wilczek
Summary: Statistically homogeneous flows follow exact kinematic relations, with the Betchov homogeneity constraints being one of the most well-known and extensively used homogeneity relations. These relations have significant implications for the dynamics of fluids and turbulent energy cascade.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Kazuhiro Inagaki
Summary: This study investigates the impact of helicity on scale-similar structures of turbulence, revealing that the energy cascade process in the scale-similar range is completely independent of helicity. Additionally, it is found that the helicity cascade is slightly non-local in scales compared to the energy cascade.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Ali Akhavan-Safaei, Mohsen Zayernouri
Summary: In this study, the spectral transfer model for turbulent intensity in passive scalar transport is reconsidered and a modification to the scaling of scalar variance cascade is proposed. A revised scalar transport model is obtained based on the modified spectral transfer model, using a fractional-order Laplacian operator to include the non-local effects from large-scale anisotropy in the turbulent cascade. The developed model is analyzed through numerical simulation, comparing it with the standard version in terms of scalar variance, scalar gradient statistics, and two-point statistical metrics of turbulent transport.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
P-F Yang, J. Fang, L. Fang, A. Pumir, H. Xu
Summary: We derive analytic relations for the second- and third-order moments of the spatial gradient of fluid velocity in compressible turbulence. These relations generalize known relations in incompressible flows and can be approximately applied in a mixing layer. We also discuss the experimental determination of these moments for isotropic compressible turbulence.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Ricardo P. Xavier, Miguel A. C. Teixeira, Carlos B. da Silva
Summary: This study investigates the characteristics of velocity fluctuations in turbulent flows using theoretical analysis and numerical simulations, revealing the asymptotic laws for variance of velocity fluctuations, Taylor micro-scale, and viscous dissipation rate at different distances from turbulent/non-turbulent interface. The results are confirmed to be independent of Reynolds number and applicable to other flow configurations with appropriate kinetic energy spectra.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Miguel P. Encinar, Javier Jimenez
Summary: The algorithm introduced by Jimenez (J. Fluid Mech., vol. 854, 2018, R1) is used to identify the flow patterns of causal significance in three-dimensional isotropic turbulence. The study finds that the dimensions of the perturbations introduced in the flow are controlled by the kinetic energy content and the enstrophy and dissipation, and affect their significance in the flow. Strain is found to be more efficient than vorticity in propagating the perturbation contents to other regions of the flow. The findings suggest that manipulating strain-dominated vortex clusters is more effective in controlling turbulent flows.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
H. S. Larssen, J. C. Vassilicos
Summary: We study the fluctuations of energy exchange/transfer/transport processes in stationary periodic turbulence, including those that do not exist in average cascade theories. By decomposing the accelerations using Helmholtz decomposition, we decompose the Kármán-Howarth-Monin-Hill equation into two energy balances. The Navier-Stokes difference equation for the dynamics of two-point velocity differences has similar characteristics with the KHMH equation. We also introduce the concept of two-point sweeping and analyze the role of pressure fluctuations in interscale and interspace turbulence transfer. The statistics of homogeneous/inhomogeneous decomposition of interscale transfer are also studied.
JOURNAL OF FLUID MECHANICS
(2023)
Article
Mechanics
Wen Zhang, Xiaowei Zhu, Xiang I. A. Yang, Minping Wan
Summary: The mixing-layer analogy is an important tool in studying vegetation canopy flow, but it has received limited support in urban-canopy flow research. This study revisits the mixing-layer analogy and presents evidence for its applicability in urban-canopy flows.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Qinmin Zheng, Jianchun Wang, Md Mahbub Alam, Bernd R. Noack, Hui Li, Shiyi Chen
Summary: In this study, the transfer of internal energy fluctuation in stationary compressible isotropic turbulence was numerically investigated, where the spectra of velocity, pressure, density, and temperature exhibited scaling laws in the inertial range. The dominance of the solenoidal component over the dilatational component, and the roles of thermal conduction and vibrational relaxation in the dissipation of energy fluctuations were highlighted.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
A. Ababaei, B. Rosa, J. Pozorski, L. -P. Wang
Summary: This study investigates the dynamics of inertial particles in turbulence and found that considering lubrication forces and gravity can affect the relative velocities and distribution functions of particles in the near-contact region. However, the effect is minimal away from contact regions, and mass loading significantly impacts collision statistics.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
John B. Bell, Andrew Nonaka, Alejandro L. Garcia, Gregory Eyink
Summary: The study investigates the effect of thermal fluctuations in the dissipation range of homogeneous isotropic turbulence using fluctuating hydrodynamics. It confirms theoretical predictions regarding the dominance of these fluctuations in the energy spectrum at length scales comparable to the Kolmogorov length and the presence of Gaussian thermal equipartition in the far-dissipation range.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Physics, Fluids & Plasmas
Rahul Agrawal, Alexandros Alexakis, Marc E. Brachet, Laurette S. Tuckerman
PHYSICAL REVIEW FLUIDS
(2020)
Article
Mechanics
Adrian van Kan, Alexandros Alexakis
JOURNAL OF FLUID MECHANICS
(2020)
Article
Mechanics
Takahiro Nemoto, Alexandros Alexakis
Summary: The study reveals that the decay time scale of turbulence in pipe flows increases double-exponentially as Reynolds number approaches its critical value, influenced by the transition between stable turbulence and metastable states.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Physics, Fluids & Plasmas
Alexandros Alexakis, Francois Petrelis, Santiago J. Benavides, Kannabiran Seshasayanan
Summary: This study investigates symmetry breaking in a turbulent environment, showcasing the transition from a symmetric state to a symmetry-breaking state through two examples. The critical behavior of these transitions is shown to be related to the multiplicative nature of fluctuations and can be predicted in certain limits using results from statistical properties of random interfaces. The results suggest the existence of a new class of out-of-equilibrium phase transitions controlled by multiplicative noise.
PHYSICAL REVIEW FLUIDS
(2021)
Article
Mechanics
Adrian van Kan, Alexandros Alexakis
Summary: This study investigates forced, rapidly rotating and stably stratified turbulence using an asymptotic expansion method, focusing on a region that is difficult to attain through direct numerical simulations. The study reveals the occurrence of forward and split energy cascades in this region, and presents theoretical arguments supporting the observed energy cascade phenomena.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Xander M. de Wit, Adrian van Kan, Alexandros Alexakis
Summary: In this study, direct numerical simulations of thin-layer flow were used to investigate whether the bistable range survives as the domain size and turbulence intensity are increased. The research found that the bistable range grows as the box size and/or Reynolds number Re are increased.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Physics, Fluids & Plasmas
Alexandros Alexakis, Sergio Chibbaro
Summary: In this study, the statistical properties of the local energy flux rate towards small scales in three isotropic turbulent magnetohydrodynamic flows with different magnetic field strengths and structures were examined using highly resolved direct numerical simulations. The results showed that the probability distribution of the local energy flux exhibited long tails related to extreme events, similar to the hydrodynamic case. The different terms of the energy flux displayed different properties and showed sensitivity to the type of flow examined. Furthermore, a correlation was observed between the local energy flux and the gradients of the involved fields, with a stronger dispersion than in hydrodynamic flows. Additionally, the local energy flux was found to depend on the local amplitude of the magnetic field to some extent.
JOURNAL OF PLASMA PHYSICS
(2022)
Article
Physics, Multidisciplinary
Guillaume Bermudez, Alexandros Alexakis
Summary: The presence of large scale magnetic fields in nature is often attributed to the inverse cascade of magnetic helicity driven by turbulent helical dynamos. In this study, the authors show that the inverse flux of magnetic helicity toward the large scales is bounded by a certain constant and decreases with the magnetic Reynolds number. Numerical simulations demonstrate that the nonlinear saturation is achieved by a balance between the inverse cascade and dissipation, with the saturation value of the magnetic energy determined by the domain size scales, magnetic Reynolds number, and magnetic Prandtl number. These findings have critical implications for the modeling of astrophysical dynamos.
PHYSICAL REVIEW LETTERS
(2022)
Article
Environmental Sciences
Ben Ajzner, Alexandros Alexakis
Summary: This study examines a turbulence shell model to investigate the probability distributions of velocity modes with changing scales. It demonstrates that while velocity amplitudes are not scale-invariant, their ratios are. Furthermore, the study shows how the probability distributions of velocity modes can be re-scaled to present a scale-independent form using large deviation theory.
Article
Physics, Multidisciplinary
Akhilesh Kumar Verma, Rahul Pandit, Marc E. Brachet
Summary: The study explores the formation of finite-temperature compact objects in self-gravitating bosonic systems through direct numerical simulations. It shows that the system undergoes a thermally driven first-order transition from a collapsed Bose-Einstein condensate to a tenuous Bose gas over a wide range of model parameters, and also obtains a binary condensate comprising a pair of collapsed objects rotating around their center of mass through suitable initial conditions in the GPPE.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Physics, Fluids & Plasmas
Adrian van Kan, Alexandros Alexakis, Marc-Etienne Brachet
Summary: The paper proposes a simple, energy-conserving model to describe the three-dimensional instabilities growing on two-dimensional flows and studies the evolution of the model in different stages. It identifies specific growth patterns and nonlinear phenomena, which are important for understanding and analyzing DNS results and guiding further theoretical developments.
Article
Physics, Fluids & Plasmas
Adrian van Kan, Alexandros Alexakis, Marc-Etienne Brachet
Summary: In this study, Levy on-off intermittency arising from multiplicative alpha-stable white noise close to an instability threshold was investigated in linear and nonlinear regimes for a pitchfork bifurcation with fluctuating growth rate. Different parameter regimes were identified, with critical exponents computed from the stationary distribution. The properties of the system, influenced by nonequilibrium, power-law-distributed fluctuations, were found to be substantially different from Gaussian thermal fluctuations in terms of statistics and critical behavior.