Pair dispersion over an inertial range spanning many decades

Frank W. Elliott, Andrew J. Majda

Research output: Contribution to journalArticle

Abstract

New numerical results on scalar pair dispersion through an inertial range spanning many decades are presented here. These results are achieved through a new Monte Carlo algorithm for synthetic turbulent velocity fields, which has been developed and validated recently by the authors [J. Comput. Phys. 117, 146 (1995)]: this algorithm is capable of accurate simulation of a Gaussian incompressible random field with the Kolmogoroff spectrum over 12-15 decades of scaling behavior with low variance. The numerical results for pair dispersion reported here are within the context of random velocity fields satisfying Taylor's hypothesis for two-dimensional incompressible flow fields. For the Kolmogoroff spectrum. Richardson's t3 scaling law is confirmed over a range of pair separation distances spanning eight decades with a Richardson constant with the value 0.031±0.004 over nearly eight decades of pair separation, provided that the longitudinal component of the velocity structure tensor is normalized to unity. Remarkably, in appropriate units this constant agrees with the one calculated by Tatarski's experiment from 1960 within the stated error bars. Other effects on pair dispersion of varying the energy spectrum of the velocity field and the degree of isotropy, as well as the importance of rare events in pair separation statistics, are also developed here within the context of synthetic turbulence satisfying Taylor's hypothesis.

Original languageEnglish (US)
Pages (from-to)1052-1060
Number of pages9
JournalPhysics of Fluids
Volume8
Issue number4
StatePublished - Apr 1996

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velocity distribution
incompressible flow
isotropy
scaling laws
unity
Scaling laws
Incompressible flow
flow distribution
energy spectra
turbulence
statistics
tensors
scalars
Tensors
scaling
Flow fields
Turbulence
Statistics
simulation
Experiments

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Elliott, F. W., & Majda, A. J. (1996). Pair dispersion over an inertial range spanning many decades. Physics of Fluids, 8(4), 1052-1060.

Pair dispersion over an inertial range spanning many decades. / Elliott, Frank W.; Majda, Andrew J.

In: Physics of Fluids, Vol. 8, No. 4, 04.1996, p. 1052-1060.

Research output: Contribution to journalArticle

Elliott, FW & Majda, AJ 1996, 'Pair dispersion over an inertial range spanning many decades', Physics of Fluids, vol. 8, no. 4, pp. 1052-1060.
Elliott, Frank W. ; Majda, Andrew J. / Pair dispersion over an inertial range spanning many decades. In: Physics of Fluids. 1996 ; Vol. 8, No. 4. pp. 1052-1060.
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