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Recent research is making progress in framing more precisely the basic dynamical and statistical questions about turbulence and in answering them. It is helping both to define the likely limits to current methods for modelling industrial and environmental turbulent flows, and to suggest new approaches to overcome these limitations. Our selective review is based on the themes and new results that emerged from more than 300 presentations during the Programme held in 1999 at the Isaac Newton Institute, Cambridge, UK, and on research reported elsewhere. A general conclusion is that, although turbulence is not a universal state of nature, there are certain statistical measures and kinematic features of the small-scale flow field that occur in most turbulent flows, while the large-scale eddy motions have qualitative similarities within particular types of turbulence defined by the mean flow, initial or boundary conditions, and in some cases, the range of Reynolds numbers involved. The forced transition to turbulence of laminar flows caused by strong external disturbances was shown to be highly dependent on their amplitude, location, and the type of flow. Global and elliptical instabilities explain much of the three-dimensional and sudden nature of the transition phenomena. A review of experimental results shows how the structure of turbulence, especially in shear flows, continues to change as the Reynolds number of the turbulence increases well above about 104 in ways that current numerical simulations cannot reproduce. Studies of the dynamics of small eddy structures and their mutual interactions indicate that there is a set of characteristic mechanisms in which vortices develop (vortex stretching, roll-up of instability sheets, formation of vortex tubes) and another set in which they break up (through instabilities and self- destructive interactions). Numerical simulations and theoretical arguments suggest that these often occur sequentially in randomly occurring cycles. The factors that determine the overall spectrum of turbulence were reviewed. For a narrow distribution of eddy scales, the form of the spectrum can be defined by characteristic forms of individual eddies. However, if the distribution covers a wide range of scales (as in elongated eddies in the ‘wall’ layer of turbulent boundary layers), they collectively determine the spectra (as assumed in classical theory). Mathematical analyses of the Navier–Stokes and Euler equations applied to eddy structures lead to certain limits being defined regarding the tendencies of the vorticity field to become infinitely large locally. Approximate solutions for eigen modes and Fourier components reveal striking features of the temporal, near-wall structure such as bursting, and of the very elongated, spatial spectra of sheared inhomogeneous turbulence; but other kinds of eddy concepts are needed in less structured parts of the turbulence. Renormalized perturbation methods can now calculate consistently, and in good agreement with experiment, the evolution of second- and third-order spectra of homogeneous and isotropic turbulence. The fact that these calculations do not explicitly include high-order moments and extreme events, suggests that they may play a minor role in the basic dynamics. New methods of approximate numerical simulations of the larger scales of turbulence or ‘very large eddy simulation’ (VLES) based on using statistical models for the smaller scales (as is common in meteorological modelling) enable some turbulent flows with a non-local and non-equilibrium structure, such as impinging or convective flows, to be calculated more efficiently than by using large eddy simulation (LES), and more accurately than by using ‘engineering’ models for statistics at a single point. Generally it is shown that where the turbulence in a fluid volume is changing rapidly and is very inhomogeneous there are flows where even the most complex ‘engineering’ Reynolds stress transport models are only satisfactory with some special adaptation; this may entail the use of transport equations for the third moments or non-universal modelling methods designed explicitly for particular types of flow. LES methods may also need flow-specific corrections for accurate modelling of different types of very high Reynolds number turbulent flow including those near rigid surfaces.<br/>This paper is dedicated to the memory of George Batchelor who was the inspiration of so much research in turbulence and who died on 30th March 2000. These results were presented at the last fluid mechanics seminar in DAMTP Cambridge that he attended in November 1999

Topics:
QA, QC

Year: 2001

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- (2000). (Ed.) Intermittency in Turbulent Flows.
- (2000). (Tel Aviv)
- 2000a Near-singular ﬂow structure: dissipation and deduction.
- (2002). A guide to engineering turbulence models. In preparation.
- (1999). A note on third-order structure functions in turbulence. P r o c .R .S o c .
- (1999). A physically-based turbulent velocity time series decomposition.
- (1962). A re of previous hypotheses concerning the local structure of turbulence in a viscous incompressible ﬂuid at high Reynolds number.
- (1996). A Reynolds stress closure designed for complex geometries.
- (1999). A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence.
- (1999). A variational principle for the Navier{Stokes equations.
- (1996). A volumetrically heated jet: large-eddy structure and entrainment characteristics.
- (1995). A wall-wake model for the turbulence structure of boundary layers. Part 2. Further experimental support.
- (1997). Accelerated scalar dissipation in a vortex.
- (1975). An experimental and theoretical study of the stability of motion in an elliptical cylinder.
- (1966). An experimental examination of the large-eddy equilibrium hypothesis.
- (1956). An inequality concerning the production of vorticity in isotropic turbulence.
- (1990). Analysis of turbulence structure in the surface layer with a modi similarity formulation for near neutral conditions.
- (1926). Atmospheric diusion shown on a distance-neighbour graph. P r o c .R .S o c .
- (1925). Bericht ¨ uber Untersuchung zur Ausgebildeten Turbulenz.
- (1998). Bounds for heat transport in a porous layer.
- Breakdown to turbulence and its control using asymptotic methods to make practical nonparallel stability calculations. Herring, J.* (NCAR Boulder) Problems and issues in 2-D turbulence.
- (1939). Breakdown to Turbulence and its control: Swept-wing boundary layers: convectively or absolutely unstable?
- (1997). Breaking waves and the equilibrium range of wind-wave spectra.
- (1998). Buoyant Convection in Geophysical ﬂows.
- C a m b o n ,C .&S c o t t ,J .F .1999 Linear and nonlinear models of anisotropic turbulence.
- (1999). Can Klebano modes produce turbulent spots? submitted to J. Fluid Mech.
- (2000). Capturing turbulent intermittency.
- (2001). Closure Strategies for Transitional and Turbulent Flows.
- (1990). Collapsing solutions in the 3D Euler equations.
- (1978). Computational modeling of turbulent ﬂows.
- (1998). Cooperative elliptic instability of a vortex pair.
- (1993). Coupling between a coherent structure and turbulence.
- (1989). Cross correlation and length scales in turbulent ﬂows near surfaces.
- (1963). Deterministic nonperiodic ﬂow.
- (1999). Direct numerical simulation: A tool in turbulence research.
- (1991). Direct observation of the intermittency of intense vorticity in turbulence.
- (1952). Diusion in a of homogeneous turbulence II. The relative motion of particles.
- (1999). Dynamically stretched vortices as solutions of the Navier{Stokes equations.
- (1994). Dynamics of vortical structures in a homogeneous shear ﬂow.
- (1993). Eddy Structure Identi in free Turbulent Shear Flows.
- (1988). Eddy structure in the convective boundary layer { new measurements and new concepts.
- (2000). Eddy structure in turbulent boundary layers.
- (1999). Environmental forecasting and turbulence prediction.
- (1942). Equations of turbulent motion of an incompressible ﬂuid (Short resum e of report delivered at Kazan during the period 26{28
- (1933). Etude de diverses equations int egrales non-lin eaires et de quelques probl emes que pose l'hydrodynamique.
- (1996). Eulerian and Lagrangian scaling properties of randomly advected vortex tubes.
- (1975). Eulerian and Lagrangian time microscales in isotropic turbulence.
- (1990). Evidence for organised small scale structure in fully developed turbulence.
- (1980). Evolution of a spectrally local disturbance in grid-generated, nearly isotropic turbulence.
- (2000). Exit time approach for Lagrangian and Eulerian turbulence.
- (1971). First Course in Turbulence.
- (2000). Flow structure visualization by low-pressure vortex.
- (1959). Fluid Mechanics.
- (1991). Fractal dimensions and spectra of interfaces with application to turbulence.
- (1999). Fundamental Problematic Issues in
- Future strategies towards understanding and prediction of turbulent systems: A 200 bar wind tunnel for turbulence measurements at very high Reynolds numbers.
- (1989). Generation of large-scale structures in three-dimensional ﬂow lacking parity-invariance.
- (1999). Hunt and others Meeting on Wavelets: the key to intermittent information?
- (1993). Hydrodynamic stability without eigenvalues.
- (1995). Instability of strained vortex layers and vortex tube formation in homogeneous turbulence.
- (1999). Institute Symposium/ERCOFTAC Workshop,
- (1998). Interfaces at the outer boundaries of turbulent motions.
- (1990). Intermittency in turbulent ﬂows and other dynamical systems: intermittency in turbulence: what is it and does it matter? Ferr
- (1998). Is concentrated vorticity that important?
- (1999). Is LES ready for complex ﬂows? Rep. NI99009-TRB, Isaac Newton Institute, Cambridge, UK (to appear in Closure Strategies for Transitional and Turbulent Flows
- (1992). Kinematic simulation of homogeneous turbulent ﬂows generated by unsteady random Fourier modes.
- (1998). Lagrangian measurements at large Reynolds numbers.
- (1993). Langrangian and Eulerian time correlations in tubulence.
- (1977). Large structure in a turbulent boundary layer.
- (1990). Local and global instabilities in spatially developing ﬂows.
- (1994). Local isotropy in turbulent boundary layers at high Reynolds number.
- (1991). Local isotropy of the smallest scales of turbulent scaler and velocity
- (1991). Local stability conditions in ﬂuid dynamics.
- (1998). Mean-ﬂow scaling of turbulent pipe ﬂow.
- (1997). Measurement of turbulence near shear-free density interfaces.
- (1980). Multiple time-scale concepts in turbulent transport modelling.
- (1987). Multiple time-scale modeling of turbulent ﬂows in one-point closures.
- (2000). Navier{Stokes equations and ﬂuid turbulence.
- (1998). New perspectives in turbulence: scaling laws, asymptotics, and intermittency.
- (2000). Nonhomogeneous scalings in boundary layer turbulence.
- (1997). Nonlinear interactions in turbulence with strong irrotational straining.
- (2000). Numerical study of singularity formation in a class of Euler and Navier-Stokes ﬂows.
- (1999). On the behaviour of a large scale tumbling vortex ﬂow submitted to a compression.
- (1994). On the elimination of wall topography parameters from secondmoment closure.
- (1986). On the magnitude of the subgrid-scale eddy coecient in large-eddy simulations of turbulent channel ﬂow.
- (1971). On the nature of turbulence.
- (2000). On the origins of intermittency in real turbulent ﬂows.
- (1985). On the singularity structure of fully developed turbulence.
- (1999). On the survival of strong vortex in `model'
- (1951). On turbulent diusion in the atmosphere.
- (2001). One-point turbulence structure tensors.
- (1999). Optimal LES formulations for isotraopic turbulence.
- (1999). Optimal LES: How good can an LES be?
- (1996). Pair dispersion over an inertial range spanning many decades.
- (1989). Parameterisation of orography-induced turbulence in a meso-beta scale model.
- (1998). Passive scalar statistics in high P eclet-number grid turbulence.
- (2000). Passive scalars in turbulent ﬂows.
- (1994). Periodic steady vortices in a stagnation-point ﬂow.
- (2000). Perspectives in the Understanding of Turbulent Systems: Can turbulence researchers learn from probability theory?
- (1999). Perturbed vortical layers and shear sheltering. Fluid Dyn Res.
- (1995). Practical and fundamental developments in the computational modelling of ﬂuid ﬂows.
- (1938). Production and dissipation of vorticity in a turbulent ﬂuid.
- (1996). Recent developments in second-moment closure for buoyancy-aected ﬂows.
- (2000). Report of a workshop on the development of large eddy simulation.
- (1999). Revealing a lognormal cascading process in turbulent velocity statistics with wavelet analysis.
- (2000). Scale separation and regularity of the Navier{Stokes equations.
- (1989). Scaling of hard thermal turbulence in Rayleigh-B enard convection.
- (1987). Second-order modelling of a variable-density mixing layer.
- (1998). Self-similarity of time-evolving plane wakes.
- (1995). Shear-free turbulent boundary layers. Part 1. Physical insights into near wall turbulence.
- (1995). Shear-free turbulent boundary layers. Part 2. New concepts for Reynolds stress modelling of inhomogeneous ﬂows.
- (1984). Simple topological aspects of turbulent vorticity dynamics.
- (1999). Simulation of boundary layer transition induced by periodically passing wakes.
- (1992). Spectral characteristics of the atmospheric boundary layer near the ground.
- (1997). Spirals in potential vorticity. Part I: measures of structure.
- (1975). Statistical Fluid Mechanics.
- (1992). Statistical laws of random strains and vortices in turbulence.
- (1951). Statistische theorie nichthomogeneous turbulenz.
- (1992). Stochastic backscatter in large-eddy simulations of boundary layers.
- (1982). Strained spiral vortex model for turbulent structure.
- (1998). Stretching of vorticity and passive vectors inisotropic turbulence.
- (1976). T o w n s e n d ,A .A
- (2000). The issue of local isotropy of velocity and scalar turbulent
- (1967). The large scale structure of homogeneous turbulence.
- (1992). The late stages of transition to turbulence in channel ﬂow.
- (1998). The phenomenology of small scale turbulence.
- (1999). The prediction of extra tropical cyclones and blocking in
- (1997). The prediction of turbulent transitional phenomena with a non-linear eddy viscosity model.
- (1994). The spatial structure of neutral atmospheric surface-layer turbulence.
- (1961). The spectrum of horizontal gustiness near the ground in high winds.
- (1993). The structure of intense vorticity in isotropic turbulence.
- (1959). The structure of isotropic turbulence at very high Reynolds numbers.
- (1993). The sweeping decorrelation hypothesis and energy-inertial scale interaction in high Reynolds number ﬂows.
- (1953). The Theory of Homogeneous Turbulence.
- (1990). Theory of Fluid Turbulence.
- (1986). Three dimensional instabilities of elliptical ﬂow.
- (1999). Time-dependent geometry and energy distribution in a spiral vortex layer.
- (1991). Transition from order to disorder in elliptical ﬂow: a direct388
- (1997). Transition to turbulence in an elliptical vortex.
- (1969). Transitions from laminar to turbulent ﬂow.
- (1997). Transverse velocity increments in turbulent ﬂow using RELEIF technique.
- (1982). Turbulence and waves in a rotating tank.
- (1976). Turbulence approximations for inhomogeneous ﬂows.
- (1999). Turbulence et Determinisme. Presse Universit e de Grenoble. Leszchiner, M.* (UMIST) Turbulence modelling.
- (2000). Turbulence Structure and Vortex Dynamics.
- (2000). Turbulence structure around a columnar vortex; rapid distortion theory and vortex wave excitation.
- (1996). Turbulence, Coherent Structures, Dynamical Systems and Symmetry.
- (1995). Turbulence;
- (1986). Turbulent entrainment: the development of the entrainment assumption, and its application to geophysical ﬂows.
- (1959). Turbulent ﬂow, theoretical aspects.
- (2000). Turbulent wakes of 3-D fractal grids.
- (1999). Very large-scale motion in the outer layer.
- (1990). Vortex dynamics and statistics of eddies in turbulence.386
- (1998). Vortex dynamics in turbulence.
- (1986). Vortex pairs and rings interacting with shear layer vortices.
- (1993). Vortex properties of two-dimensional turbulence.
- (1999). Wavelets for the study of intermittency and its topology.
- (1999). WKB theory for rapid distortion of inhomogeneous turbulence.
- (1997). Zero-pressure-gradient turbulent boundary layer.

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