Particles and fields in fluid turbulence
From MaRDI portal
Publication:3077103
DOI10.1103/RevModPhys.73.913zbMath1205.76133arXivcond-mat/0105199OpenAlexW2000675878MaRDI QIDQ3077103
Gregory Falkovich, Massimo Vergassola, Krzysztof Gawędzki
Publication date: 21 February 2011
Published in: Reviews of Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0105199
PDEs in connection with fluid mechanics (35Q35) Turbulent transport, mixing (76F25) Isotropic turbulence; homogeneous turbulence (76F05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)
Related Items (only showing first 100 items - show all)
Generalized Ornstein-Uhlenbeck processes ⋮ Heat equilibrium distribution in a turbulent flow ⋮ Functional renormalisation group for turbulence ⋮ Where do small, weakly inertial particles go in a turbulent flow? ⋮ Variable energy flux in turbulence ⋮ The diffuselet concept for scalar mixing ⋮ Transport Phenomena in Viscoelastic Fluids ⋮ Analysis of the correlation dimension for inertial particles ⋮ Analytic structure of solutions of the one-dimensional Burgers equation with modified dissipation ⋮ Strong effect of weak diffusion on scalar turbulence at large scales ⋮ Unmixing in random flows ⋮ Modeling the pressure Hessian and viscous Laplacian in turbulence: Comparisons with direct numerical simulation and implications on velocity gradient dynamics ⋮ Peripheral mixing of passive scalar at small Reynolds number ⋮ Floating tracer clustering in divergent random flows modulated by an unsteady mesoscale ocean field ⋮ Non-Gaussian limit of a tracer motion in an incompressible flow ⋮ RENORMALIZATION-GROUP APPROACH TO THE STOCHASTIC NAVIER–STOKES EQUATION: TWO-LOOP APPROXIMATION ⋮ Hidden spatiotemporal symmetries and intermittency in turbulence ⋮ Droplets in isotropic turbulence: deformation and breakup statistics ⋮ Convergent chaos ⋮ Magnetic field transport and kinematic dynamo effect: a Lagrangian interpretation ⋮ Passive scalar mixing and decay at finite correlation times in the Batchelor regime ⋮ Kazantsev model in non-helical 2.5-dimensional flows ⋮ A statistical mechanics approach to mixing in stratified fluids ⋮ Numerically Optimized Markovian Coupling and Mixing in One‐Dimensional Maps ⋮ Scalar gradients in stirred mixtures and the deconstruction of random fields ⋮ Relative dispersion in generalized two-dimensional turbulence ⋮ Stochastic Lagrangian dynamics of vorticity. Part 1. General theory for viscous, incompressible fluids ⋮ Scaling in erosion of landscapes: renormalization group analysis of a model with turbulent mixing ⋮ Explicit expressions for eddy-diffusivity fields and effective large-scale advection in turbulent transport ⋮ A matrix contraction process ⋮ Lagrangian velocity structure functions in Bolgiano turbulence ⋮ A dynamical equation for the distribution of a scalar advected by turbulence ⋮ Self-similar two-particle separation model ⋮ Beyond Kolmogorov cascades ⋮ Quartic polynomial approximation for fluctuations of separation of trajectories in chaos and correlation dimension ⋮ Evolution of magnetic field fluctuations in two-dimensional chaotic flow ⋮ Lagrangian network analysis of turbulent mixing ⋮ COMBINED EFFECTS OF SMALL SCALE ANISOTROPY AND COMPRESSIBILITY ON ANOMALOUS SCALING OF A PASSIVE SCALAR ⋮ Turbulent magnetic field amplification from the smallest to the largest magnetic Prandtl numbers ⋮ Evolution to a singular measure and two sums of Lyapunov exponents ⋮ Functional renormalization-group approach to decaying turbulence ⋮ Combined role of molecular diffusion, mean streaming and helicity in the eddy diffusivity of short-correlated random flows ⋮ Statistics of large currents in the Kipnis–Marchioro–Presutti model in a ring geometry ⋮ Height distribution tails in the Kardar–Parisi–Zhang equation with Brownian initial conditions ⋮ May–Wigner transition in large random dynamical systems ⋮ Zero modes, instantons and fluctuations in the Kraichnan model ⋮ The decay of homogeneous anisotropic turbulence ⋮ A new approach to turbulent transport of a mean scalar ⋮ Predicting mixing microstructure in three-dimensional chaotic systems ⋮ Diagnosing transport and mixing using a tracer-based coordinate system ⋮ Flatness of tracer density profile produced by a point source in turbulence ⋮ Hyperbolic lines and the stratospheric polar vortex ⋮ On the computation of space-time correlations by large-eddy simulation ⋮ High Schmidt number scalars in turbulence: Structure functions and Lagrangian theory ⋮ On higher order passive scalar structure functions in grid turbulence ⋮ Scalar decay in two-dimensional chaotic advection and Batchelor-regime turbulence ⋮ One-particle two-time diffusion in three-dimensional homogeneous isotropic turbulence ⋮ Clustering and collisions of heavy particles in random smooth flows ⋮ Energy transfer and intermittency in four-dimensional turbulence ⋮ Concentrations and concentration fluctuations in two-dimensional turbulence ⋮ Inverse velocity statistics in two-dimensional turbulence ⋮ Comparison of backwards and forwards relative dispersion in turbulence ⋮ What controls the decay of passive scalars in smooth flows? ⋮ Multiparticle dispersion in fully developed turbulence ⋮ A nonsequential turbulent mixing process ⋮ Orientation of non-spherical particles in an axisymmetric random flow ⋮ Lagrangian approach for modal analysis of fluid flows ⋮ Stochastic modelling in fluid dynamics: Itô versus Stratonovich ⋮ The relationship between viscoelasticity and elasticity ⋮ Fluctuation theorem and extended thermodynamics of turbulence ⋮ New relations for correlation functions in Navier–Stokes turbulence ⋮ Turbulent pair dispersion of inertial particles ⋮ Extended self-similarity works for the Burgers equation and why ⋮ Homogenization and mixing measures for a replenishing passive scalar field ⋮ Lagrangian views on turbulent mixing of passive scalars ⋮ Velocity and temperature derivatives in high- Reynolds-number turbulent flows in the atmospheric surface layer. Part 3. Temperature and joint statistics of temperature and velocity derivatives ⋮ A numerical study of passive scalar evolution in peripheral regions ⋮ Weak compressibility of surface wave turbulence ⋮ Mixing by random stirring in confined mixtures ⋮ Turbulence of generalised flows in two dimensions ⋮ Relative dispersion in 2D stochastic flows ⋮ Relative velocity of inertial particles in turbulent flows ⋮ The diffusive strip method for scalar mixing in two dimensions ⋮ Onsager and the theory of hydrodynamic turbulence ⋮ Polymer scission in turbulent flows ⋮ Finite-size effects in the short-time height distribution of the Kardar–Parisi–Zhang equation ⋮ Turbulent mass inhomogeneities induced by a point-source ⋮ Turbulence and heat transfer on a rotating, heated half soap bubble ⋮ A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part I. Flows with no bounding walls ⋮ Kazantsev dynamo in turbulent compressible flows ⋮ Small-scale anisotropy in turbulent boundary layers ⋮ A closure for Lagrangian velocity gradient evolution in turbulence using recent-deformation mapping of initially Gaussian fields ⋮ A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part III. Turbulent Rayleigh–Bénard convection ⋮ Analysis of the forward and backward in time pair-separation probability density functions for inertial particles in isotropic turbulence ⋮ ‘Life after death’ in ordinary differential equations with a non-Lipschitz singularity ⋮ Lagrangian dynamics and heat transfer in porous-media convection ⋮ Advective structure functions in anisotropic two-dimensional turbulence ⋮ Diffusion, super-diffusion and coalescence from a single step ⋮ Non-local dispersion and the reassessment of Richardson's t3-scaling law ⋮ Energy cascades in rapidly rotating and stratified turbulence within elongated domains
Cites Work
- The dynamics of enstrophy transfer in two-dimensional hydrodynamics
- Derivation of the relative dispersion law in the inverse energy cascade of two-dimensional turbulence
- Stability and Lyapunov stability of dynamical systems: a differential approach and a numerical method
- Remarks on turbulence theory
- Slow modes in passive advection
- The Lyapunov spectrum of a continuous product of random matrices
- Positivity of entropy production in the presence of a random thermostat
- Dissipation statistics of a passive scalar in a multidimensional smooth flow
- Invariant measures for Burgers equation with stochastic forcing
- Anomalous scaling of a passive scalar advected by the synthetic compressible flow
- Scalar transport in compressible flow
- Phase transition in the passive scalar advection
- Shell model for time-correlated random advection of passive scalars
- Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field
- Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
- On local isotropy of passive scalars in turbulent shear flows
- Dynamic Scaling of Growing Interfaces
- Lagrangian method for multiple correlations in passive scalar advection
- Passive advection in nonlinear medium
- Large-scale properties of passive scalar advection
- Lagrangian tetrad dynamics and the phenomenology of turbulence
- Kinematic dynamo problem in a linear velocity field
- On isotropic brownian motions
- Fast dynamo action in a steady flow
- Scaling and exotic regimes in decaying Burgers turbulence
- Asymptotic properties of Burgers turbulence
- Convection of a passive scalar by a quasi-uniform random straining field
- The leading asymptotic term for the scattering diagram in the problem of diffraction by a narrow circular impedance cone
- On the decay of Burgers turbulence
- Pair dispersion over an inertial range spanning many decades
- PDFs for velocity and velocity gradients in Burgers’ turbulence
- Statistical theory for the stochastic Burgers equation in the inviscid limit
- Kicked Burgers turbulence
- Exact statistical properties of the Burgers equation
- Passive Scalars in Turbulent Flows
- Generalized flows, intrinsic stochasticity, and turbulent transport
- Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
- Turbulent mixing of a passive scalar
- A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient
- Products of Random Matrices
- Small-Scale Structure of a Scalar Field Convected by Turbulence
- THE SPACES $ BV$ AND QUASILINEAR EQUATIONS
- Turbulent Hydrodynamic Line Stretching: Consequences of Isotropy
- Inertial-range transfer in two- and three-dimensional turbulence
- Steady-state Burgers turbulence with large-scale forcing
- Simulations of a randomly advected passive scalar field
- On how a joint interaction of two innocent partners (smooth advection and linear damping) produces a strong intermittency
- On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence
- The passive polymer problem
- Singularities and the distribution of density in the Burgers/adhesion model
This page was built for publication: Particles and fields in fluid turbulence