A Lagrangian stochastic model for dispersion in stratified turbulence

Physics of Fluids

Volumn 17, Issue 2, 2005, Pages 1-10

  Das, S K ^a   Durbin, P A ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BUOYANCY; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; RANDOM PROCESSES; SHEAR FLOW; TURBULENCE;

LAGRANGIAN STOCHASTIC MODEL; STOCHASTIC DIFFERENTIAL EQUATIONS; STRATIFIED TURBULENCE;

TURBULENT FLOW;

DISPERSION; FLOW MODELING; LAGRANGIAN ANALYSIS; STRATIFIED FLOW; TURBULENT FLOW;

DISPERSION; LAGRANGIAN ANALYSIS; TURBULENT FLOW;

EID: 23944433716     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1849184     Document Type: Article

References (23)

1. G. I. Taylor, "Diffusion by continuous movements," Proc. London Math. Soc.PLMTAL 20, 196 (1921).
2. B. J. Legg and M. R. Raupach, "Markov-chain simulation of particle dispersion in inhomogeneous flows: The mean drift velocity induced by a gradient in Eulerian velocity variance," Boundary-Layer Meteorol.BLMEBR0006-831410.1007/BF00121796 24, 3 (1982).
3. D. J. Thomson, "Criteria for the selection of stochastic models of particle trajectories in turbulent flows," J. Fluid Mech.JFLSA70022-1120 180, 529 (1987).
4. J. D. Wilson and B. L. Sawford, "Review of Lagrangian stochastic models for trajectories in the turbulent atmosphere," Boundary-Layer Meteorol.BLMEBR0006-831410.1007/BF00122492 78, 191 (1996).
5. H. J. Pearson, J. S. Puttock, and J. C. R. Hunt, "A statistical model of fluid-element motions and vertical diffusion in a homogeneous stratified turbulent flow," J. Fluid Mech.JFLSA70022-1120 129, 219 (1983).
6. A. Venkatram, D. Strimaitis, and D. Dicristofaro, "A semiempirical model to estimate vertical dispersion of elevated releases in the stable boundary layer," Atmos. Environ.AENVEQ1352-2310 18, 923 (1984).
7. S. B. Pope, "On the relationship between stochastic Lagrangian models of turbulence and second-moment closures," Phys. FluidsPHFLE61070-663110.1063/1.868329 6, 973 (1994).
8. P. A. Durbin and C. G. Speziale, "Realizability of second-moment closure via stochastic analysis," J. Fluid Mech.JFLSA70022-1120 280, 395 (1994).
9. S. Heinz, "Nonlinear Lagrangian equations for turbulent motion and buoyancy in inhomogeneous flows," Phys. FluidsPHFLE61070-663110.1063/1.869421 9, 703 (1997).
10. M. M. Gibson and B. E. Launder, "Ground effects on pressure fluctuations in the atmospheric boundary layer," J. Fluid Mech.JFLSA70022-1120 86, 491 (1978).
11. M. Ji and P. A. Durbin, "On the equilibrium states predicted by second moment models in rotating, stably stratified homogeneous shear flow," Phys. FluidsPHFLE61070-663110.1063/1.1775806 16, 3540 (2004).
12. Z. Warhaft, "Passive scalars in turbulent flows," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/annurev.fluid.32.1.203 32, 203 (2000).
13. P. A. Durbin and B. A. Pettersson Reif, Statistical Theory and Modeling for Turbulent Flows (Wiley, Chichester, 2001).
14. L. Arnold, Stochastic Differential Equations (Wiley, New York, 1974).
15. B. Øksendal, Stochastic Differential Equations (Springer, Berlin, 2001).
16. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
17. S. Tavoularis and S. Corrsin, "Experiments in nearly homogeneous turbulent shear flows with a uniform mean temperature gradient, Part 1," J. Fluid Mech.JFLSA70022-1120 104, 311 (1981).
18. J. J. Rohr, E. C. Itsweire, K. N. Helland, and C. W. Van Atta, "Growth and decay of turbulence in a stably stratified shear flow," J. Fluid Mech.JFLSA70022-1120 195, 77 (1988).
19. M. M. Rogers, P. Moin, and W. C. Reynolds, "The structure and modeling of the hydrodynamic and passive scalar fields in homogeneous turbulent shear flow," Stanford University, Report No. TF-25, 1986.
20. T. Gerz and U. Schumann, "Direct simulation of homogeneous turbulence and gravity waves in sheared and unsheared stratified flows," in Turbulent Shear Flows, edited by F. Durst, B. E. Launder, W. C. Reynolds, F. W. Schmidt, and J. H. Whitelaw (Springer, Berlin, 1991).
21. S. E. Holt, J. R. Koseff, and J. H. Ferziger, "A numerical study of the evolution and structure of homogeneous stably stratified sheared turbulence," J. Fluid Mech.JFLSA70022-1120 237, 499 (1992).
22. L. H. Shih, J. R. Koseff, J. H. Ferziger, and C. R. Rehmann, "Scaling and parameterization of stratified homogeneous turbulent shear flow," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112000008405 412, 1 (2000).
23. H. J. Kaltenbach, T. Gerz, and U. Schumann, "Large-eddy simulation of homogeneous turbulence and diffusion in stably stratified shear flow," J. Fluid Mech.JFLSA70022-1120 280, 1 (1994).