A random-flight evaluation of the constants of relative dispersion in idealized turbulence

Journal of Fluid Mechanics

Volumn 316, Issue , 1996, Pages 139-161

  Faller, Alan J ^a  

^a NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION; TRACERS; TURBULENCE;

CALCULATIONS; CORRELATION METHODS; MATHEMATICAL MODELS; PROBABILITY; RANDOM PROCESSES; TURBULENCE;

EULERIAN KARMAN/HOWARTH CORRELATIONS; GAUSSIAN DISTRIBUTION; KURTOSIS; LAGRANGIAN TRACERS; RANDOM FLIGHT EQUATIONS; SKEWNESS;

FLUID MECHANICS;

EID: 0029671964     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209600047X     Document Type: Article

References (19)

1. ANSELMET, F., GAGNE, Y., HOPFINGER, E. J. & ANTONIA, R. A. 1984 High-order velocity structure functions in turbulent shear flows. J. Fluid Mech. 140, 63-89.
2. BATCHELOR, G. K 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
3. BORGAS, M. S. & SAWFORD, B. L. 1994 A family of stochastic models for two-particle dispersion in isotropic homogeneous stationary turbulence. J. Fluid Mech. 279, 69-99.
4. CORRSIN, S. 1963 Estimates of the relations between Eulerian and Lagrangian scales in large Reynolds number turbulence. J. Atmos. Sci. 20, 115-119.
5. 2/3 law. Phys. Fluids 22, 1029-1032.
6. DOP, H. VAN & NIEUWSTADT, F. T. M. 1985 Random walk models for particle displacements in inhomogeneous, unsteady turbulent flows, Phys. Fluids 28, 1639-1653.
7. DURBIN, P. A. 1980 A random-flight model of inhomogeneous turbulent dispersion. Phys. Fluids 23, 2151-2153.
8. DURBIN, P. A. 1983 Stochastic differential equations and turbulent dispersion. Natl Aero. & Space Admin. Reference Publ. 1103.
9. FALLER, A. J. 1992 Approximate second-order two-point velocity relations for turbulent dispersion. J. Fluid Mech. 244, 713-720.
10. FALLER, A. J & AUER, S. J. 1988 The role of Langmuir circulations in the dispersion of surface tracers. J. Phys. Oceanogr. 18, 1108-1123.
11. FALLER, A. J. & CHOI, G.-S. 1985 Random-flight studies of relative dispersion in homogeneous and isotropic two- and three-dimensional turbulence. Tech. Note Bn-1035. Inst. for Phys. Sci. and Tech., Univ. of Maryland.
12. KÁRMÁN, T. VON & HOWARTH, L. 1938 On the statistical theory of isotropic turbulence. Proc. R. Soc. Lond. A 164, 192-215.
13. MONIN, A. S. & YAGLOM, A. M. 1971 Statistical Fluid Mechanics. MIT Press.
14. RICHARDSON, L. F. 1926 Atmospheric diffusion shown on a distance-neighbour graph. Proc. R. Soc. Lond. A 110, 709-737.
15. TAYLOR, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. (2) 20, 1196.
16. TENNEKES, H. & LUMLEY, J. S. 1972 A First Course in Turbulence. MIT Press.
17. THOMSON, D. J. 1986 A random walk model of dispersion in turbulent flows and its application to dispersion in a valley. Q. J. R. Met. Soc. 112, 511-530.
18. THOMSON, D. J. 1987 Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J. Fluid Mech. 180, 529-556.
19. THOMSON, D. J. 1990 A stochastic model for the motion of particle pairs in isotropic high-Reynolds-number turbulence, and its application to the problem of concentration variance. J. Fluid. Mech. 210, 113-153.