Improved Lagrangian mixing models for passive scalars in isotropic turbulence

Physics of Fluids

Volumn 15, Issue 4, 2003, Pages 961-985

  Fox, R O ^a   Yeung, P K ^b  

^a Iowa State University   (United States)

^b Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; ENERGY DISSIPATION; MATHEMATICAL MODELS; REYNOLDS NUMBER; STATISTICAL METHODS;

STOCHASTIC DIFFERENTIAL EQUATIONS (SDE);

TURBULENCE;

INDUSTRIAL APPLICATION; LAGRANGIAN ANALYSIS; MATHEMATICAL ANALYSIS; MIXING; MODEL; PASSIVE SCALAR; TURBULENCE;

EID: 0037654799     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1545472     Document Type: Article

References (40)

1. S. B. Pope, "PDF methods for turbulent reactive flows," Prog. Energy Combust. Sci. 11, 119 (1985).
2. S. B. Pope, "Lagrangian pdf methods for turbulent flows," Annu. Rev. Fluid Mech. 26, 23 (1994).
3. R. O. Fox, "The Lagrangian spectral relaxation model of the scalar dissipation in homogeneous turbulence," Phys. Fluids 9, 2364 (1997).
4. R. O. Fox, "The Lagrangian spectral relaxation model for differential diffusion in homogeneous turbulence," Phys. Fluids 11, 1550 (1999).
5. P. K. Yeung, "Correlations and conditional statistics in differential diffusion: Scalars with mean scalar gradients," Phys. Fluids 10, 2621 (1998).
6. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
7. G. A. Voth, K. Satyanarayanan, and E. Bodenschatz, "Lagrangian acceleration measurements at large Reynolds numbers," Phys. Fluids 10, 2268 (1998).
8. S. Ott and J. Mann, "An experimental investigation of the relative diffusion of particle pairs in three-dimensional turbulent flow," J. Fluid Mech. 422, 207 (2000).
9. N. Mordant, P. Metz, O. Michel, and J. F. Pinton, "Measurement of Lagrangian velocity in fully developed turbulence," Phys. Rev. Lett. 87, 214501 (2001).
10. P. K. Yeung, "Lagrangian characteristics of turbulence and scalar transport in direct numerical simulations," J. Fluid Mech. 427, 241 (2001).
11. B. L. Sawford and P. K. Yeung, "Eulerian acceleration statistics as a discriminator between Lagrangian stochastic models in uniform shear flow," Phys. Fluids 12, 2033 (2000).
12. B. L. Sawford and P. K. Yeung, "Lagrangian statistics in uniform shear flow: Direct numerical simulation and Lagrangian stochastic models," Phys. Fluids 13, 2627 (2001).
13. P. Vedula, P. K. Yeung, and R. O. Fox, "Dynamics of scalar dissipation in isotropic turbulence: A numerical and modeling study," J. Fluid Mech. 433, 29 (2001).
14. J. Villermaux and J. C. Devillon, "Représentation de la coalescence et de la redispersion des domaines de ségrégation dans un fluide par un modèle d'interaction phénoménologique," Proc., 2nd International Symposium on Chemical Reaction Engineering (Elsevier, New York, 1972).
15. L. Valino and C. Dopazo, "A binomial Langevin model for turbulent mixing," Phys. Fluids A 3, 3034 (1991).
16. S. Subramaniam and S. B. Pope, "A mixing model for turbulent reactive flows based on Euclidean minimum spanning trees," Combust. Flame 115, 487 (1998).
17. H. Chen, S. Chen, and R. S. Kraichnan, "Probability distribution of a stochastically advected scalar field," Phys. Rev. Lett. 63, 2657 (1989).
18. B. L. Sawford, private communication (2001).
19. P. K. Yeung, "Lagrangian investigations of turbulence," Annu. Rev. Fluid Mech. 34, 115 (2002).
20. R-C. Lien and E. A. D'Asaro, "The Kolmogorov constant for the Lagrangian velocity spectrum and structure function," Phys. Fluids 14, 4456 (2002).
21. M. R. Overholt and S. B. Pope, "Direct numerical simulation of a passive scalar with imposed mean gradient in isotropic turbulence," Phys. Fluids 8, 3128 (1996).
22. P. K. Yeung and S. B. Pope, "Lagrangian statistics from direct numerical simulations of isotropic turbulence," J. Fluid Mech. 207, 531 (1989).
23. R. O. Fox, "On velocity-conditioned scalar mixing in homogeneous turbulence," Phys. Fluids 8, 2678 (1996).
24. R. O. Fox and P. K. Yeung, "Forward and backward spectral transfer in the modeling of scalar mixing in homogeneous turbulence," Proc., 3rd ASME/JSME Joint Fluids Engineering Conference, San Francisco, CA, July 1999.
25. P. Vedula, "Study of scalar transport in turbulent flows using direct numerical simulations," Ph.D. thesis, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA (2001).
26. J. P. H. Sanders and I. Gökalp, "Scalar dissipation rate modeling in variable density turbulent axisymmetric jets and diffusion flames," Phys. Fluids 10, 938 (1998).
27. R. O. Fox, "The spectral relaxation model of the scalar dissipation rate in homogeneous turbulence," Phys. Fluids 7, 1082 (1995).
28. C. M. Cha, G. Kosály, and H. Pitsch, "Modeling extinction and reignition in turbulent nonpremixed combustion using a doubly conditional moment closure approach," Phys. Fluids 13, 3824 (2001).
29. R. O. Fox, Computational Models for Turbulent Reacting Flows (Cambridge University Press, Cambridge, 2003).
30. C. W. Gardiner, Handbook of Stochastic Methods, 2nd ed. (Springer, New York, 1990).
31. R. O. Fox, "Improved Fokker-Planck model for the joint scalar, scalar gradient PDF," Phys. Fluids 6, 334 (1994).
32. A. Kerstein, "A linear-eddy model of turbulent scalar transport and mixing," Combust. Sci. Technol. 60, 391 (1998).
33. A. Kerstein, "One-dimensional turbulence model," J. Fluid Mech. 392, 277 (1999).
34. T. Dreeben and S. B. Pope, "Wall-function treatment in PDF methods for turbulent flows," Phys. Fluids 9, 2692 (1997).
35. P. K. Yeung and B. L. Sawford, "Random sweeping hypothesis for passive scalars in isotropic turbulence," J. Fluid Mech. 459, 129 (2002).
36. B. L. Sawford, "Reynolds number effects in Lagrangian stochastic models of turbulent dispersion," Phys. Fluids A 3, 1577 (1991).
37. S. B. Pope, "A stochastic Lagrangian model for acceleration in turbulent flows," Phys. Fluids 14, 2447 (2002).
38. R. O. Fox, P. K. Yeung, and P. Vedula, "Lagrangian description of non-premixed passive scalars in differential diffusion: Model development," Bull. Am. Phys. Soc. 45, 58 (2000).
39. A. Juneja and S. B. Pope, "A DNS study of turbulent mixing of two passive scalars," Phys. Fluids 8, 2161 (1996).
40. C. M. Cha, P. Trouillet, and R. O. Fox, "Lagrangian PDF mixing models for reacting flows," Proceedings of the 2002 CTR Summer Program, Stanford, CA, July-August 2002.