# Lagrangian statistics from direct numerical simulations of isotropic turbulence

@article{Yeung1989LagrangianSF, title={Lagrangian statistics from direct numerical simulations of isotropic turbulence}, author={P. K. Yeung and Stephen B. Pope}, journal={Journal of Fluid Mechanics}, year={1989}, volume={207}, pages={531 - 586} }

A comprehensive study is reported of the Lagrangian statistics of velocity, acceleration, dissipation and related quantities, in isotropic turbulence. High-resolution direct numerical simulations are performed on 643 and 1283 grids, resulting in Taylor-scale Reynolds numbers Rλ in the range 38-93. The low-wavenumber modes of the velocity field are forced so that the turbulence is statistically stationary. Using an accurate numerical scheme, of order 4000 fluid particles are tracked through the…

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## References

SHOWING 1-10 OF 31 REFERENCES

### An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence

- Environmental Science, Physics
- 1988

### A measurement of Lagrangian velocity autocorrelation in approximately isotropic turbulence

- Environmental ScienceJournal of Fluid Mechanics
- 1974

By measuring the heat dispersion behind a heated wire stretched across a wind tunnel (Taylor 1921, 1935), the Lagrangian velocity autocorrelation was determined in an approximately isotropic,…

### Lagrangian measurement of fluid-particle motion in an isotropic turbulent field

- Environmental Science, PhysicsJournal of Fluid Mechanics
- 1987

By means of an optical tracer-particle tracking method, measurements for Lagrangian characteristics of turbulence, including the mean-square value of lateral diffusion from a point source…

### Statistics of fine-scale velocity in turbulent plane and circular jets

- PhysicsJournal of Fluid Mechanics
- 1982

Higher-order statistics of the streamwise velocity derivative have been measured on the centre-line of turbulent plane and circular jets. The instrumentation and sources of error are discussed to…

### Direct numerical simulations of the turbulent mixing of a passive scalar

- Physics
- 1988

The evolution of scalar fields, of different initial integral length scales, in statistically stationary, homogeneous, isotropic turbulence is studied. The initial scalar fields conform,…

### A generalized Langevin model for turbulent flows

- Physics
- 1986

A Langevin model appropriate to constant property turbulent flows is developed from the general equation for the fluid particle velocity increment proposed by Pope in an earlier paper [Phys. Fluids…

### High-order velocity structure functions in turbulent shear flows

- PhysicsJournal of Fluid Mechanics
- 1984

Measurements are presented of the velocity structure function on the axis of a turbulent jet at Reynolds numbers Rλ ≤ 852 and in a turbulent duct flow at Rλ = 515. Moments of the structure function…

### Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence

- PhysicsJournal of Fluid Mechanics
- 1971

Space-time correlation measurements in the roughly isotropic turbulence behind a regular grid spanning a uniform airstream give the simplest Eulerian time correlation if we choose for the upstream…

### Experiments in nearly homogenous turbulent shear flow with a uniform mean temperature gradient. Part 1

- PhysicsJournal of Fluid Mechanics
- 1981

A reasonably uniform mean temperature gradient has been superimposed upon a nearly homogeneous turbulent shear flow in a wind tunnel. The overheat is small enough to have negligible effect on the…

### Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence

- PhysicsJournal of Fluid Mechanics
- 1985

In a three-dimensional simulation higher-order derivative correlations, including skewness and flatness (or kurtosis) factors, are calculated for velocity and passive scalar fields and are compared…