Probability density function/Monte Carlo simulation of near-wall turbulent flows

Journal of Fluid Mechanics

Volumn 357, Issue , 1998, Pages 141-166

  Dreeben, Thomas D ^a,b   Pope, Stephen B ^a  

^a Cornell University   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; CHANNEL FLOW; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; RELAXATION PROCESSES; STRESSES; VISCOUS FLOW; WALL FLOW;

LANGEVIN MODEL; REYNOLDS STRESSES;

TURBULENT FLOW;

EID: 0032003134     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097008008     Document Type: Article

References (56)

1. BHATTACHARYA, R. N. & WAYMIRE, E. C. 1990 Stochastic Processes with Applications. Wiley.
2. COLUCCI, P. J., JABERI, F. A., GIVI, P. & POPE, S. B. 1998 The filtered density function for large eddy simulation of turbulent reacting flows. Phys. Fluids, to be submitted.
3. CRAFT, T. J. & LAUNDER, B. E. 1995 Improvements in near-wall reynolds-stress modelling for complex flow geometries. In Tenth Symposium on Turbulent Shear Flows, University Park, PA.
4. DALY, B. J. & HARLOW, F. H. 1970 Transport equations of turbulence. Phys. Fluids 13, 2634-2649.
5. DEAN, R. B. 1978 Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow. Trans. ASME: J. Fluids Engng 100, 215-223.
6. DELARUE, B. J. & POPE, S. B. 1997 Application of PDF methods to compressible turbulent flows. Phys. Fluids 9, 2704-2715.
7. DEMUREN, A. O. & WILSON, R. V. 1994 On elliptic relaxation near wall models. In Transition, Turbulence and Combustion, Vol. II, pp. 61-71. Kluwer.
8. DREEBEN, T. D. 1996 Pdf modeling of near-wall turbulent flows. PhD thesis, Cornell University, Ithaca, NY.
9. DREEBEN, T. D. & POPE, S. B. 1992 Nonparametric estimation of mean fields with application to particle methods for turbulent flows. Tech. Rep. FDA-92-13. Cornell University, Ithaca, N.Y.
10. DREEBEN, T. D. & POPE, S. B. 1997a Pdf and Reynolds-stress modeling of near-wall turbulent flows. Phys. Fluids 9, 154-163.
11. DREEBEN, T. D. & POPE, S. B. 1997b Wall-function treatment in Pdf methods for turbulent flows. Phys. Fluids 9, 2692-2703.
12. DURBIN, P. A. 1991 Near-wall turbulence closure modeling without 'damping functions'. Theor. Comput. Fluid Dyn. 3, 1-13.
13. DURBIN, P. A. 1993 A Reynolds-stress model for near-wall turbulence. J. Fluid Mech. 249, 465-498.
14. 2 model. AIAA J. 33, 659-664.
15. EINSTEIN, A. 1926 Investigations on the Theory of the Brownian Movement. Methuen and Co. Ltd. Translation by A. D. Cowper (ed. R. Furth).
16. GARDINER, C. W. 1990 Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 2nd edn. Springer.
17. HANJALIC, K. & LAUNDER, B. E. 1976 Contribution towards a Reynolds-stress closure for low-Reynolds-number turbulence. J. Fluid Mech. 74, 593-610.
18. HAWORTH, D. C. & POPE, S. B. 1986 A generalized Langevin model for turbulent flows. Phys. Fluids A 29, 387-405.
19. HAWORTH, D. C. & POPE, S. B. 1987 A Pdf modeling study of self-similar turbulent free shear flows. Phys. Fluids A 30, 1026-1044.
20. JAYESH & POPE, S. B. 1995 Stochastic model for turbulent frequency. Tech. Rep. FDA-95-05. Cornell University, Ithaca, NY.
21. KARATZAS, I. & SHREVE, S. E. 1991 Brownian Motion and Stochastic Calculus, 2 edn, Springer.
22. KOLMOGOROV, A. N. 1941 The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR 32, 19-21.
23. LAI, Y. G. & SO, R. M. C. 1990 On near-wall turbulent flow modelling. J. Fluid Mech. 221, 641-673.
24. LAUNDER, B. E., REECE, G. J. & RODI, W. 1975 Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537-566.
25. LAUNDER, B. E. & SPALDING, D. B. 1974 The numerical computation of turbulent flows. Comput. Meth. Appl. Mech. Engng 3, 269-289.
26. LAUNDER, B. E. & TSELEPIDAKES, D. P. 1991 Progress and paradoxes in modelling near-wall turbulence. In Eighth Symposium on Turbulent Shear Flows, Munich, Germany.
27. LAURENCE, D., DURBIN, P. & DEMUREN, A. O. 1995 Modelling near-wall effects in second moment closures by elliptic relaxation. In Tenth Symposium on Turbulent Shear Flows, University Park, PA.
28. LUMLEY, J. L. 1978 Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123-176.
29. MANSOUR, N. N., KIM, J. & MOIN, P. 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 15-44.
30. NAOT, D., SHAVIT, A. & WOLFSHTEIN, M. 1970 Interactions between components of the turbulent velocity correlation tensor. Israel J. Tech. 8, 259-269.
31. NORRIS, A. T. & POPE, S. B. 1995 Modeling of extinction in turbulent diffusion flames by the velocity-dissipation-composition PDF method. Combust. Flame 100, 211-220.
32. POPE, S. B. 1985 Pdf methods for turbulent reactive flows. Prog. Energy Combust. Sci. 11, 119-192.
33. POPE, S. B. 1991 Application of the velocity-dissipation probability density function model to inhomogeneous flows. Phys. Fluids A 3, 1947-1957.
34. POPE, S. B. 1993a Boundary treatment in the stochastic Lagrangian wall model. Unpublished.
35. POPE, S. B. 1993b On the relationship between stochastic-Lagrangian models of turbulence and second-moment closures. Phys. Fluids 6, 973-985.
36. POPE, S. B. 1994a Lagrangian PDF methods for turbulent flows. Ann. Rev. Fluid Mech. 26, 23-63.
37. POPE, S. B. 1994b PDF2DV. A Fortran code to solve the modelled joint PDF equations for two-dimensional recirculating flows. Unpublished.
38. POPE, S. B. & CHEN, Y. L. 1990 The velocity-dissipation probability density function model for turbulent flows. Phys. Fluids A 2, 1437-1449.
39. PRIESTLY, M. B. & CHAO, M. T. 1972 Non-parametric function fitting. J. R. Statist. Soc. 34, 385-392.
40. RODI, W. 1980 Turbulence Models and Their Application in Hydraulics - a State of the Art Review. Intl Assoc. for Hydraulic Research.
41. ROTTA, J. C. 1951 Statistische theorie nichthomogener turbulenz. Z. Physik 129, 547-572.
42. RUPPERT, D. & WAND, M. P. 1994 Multivariate locally weighted least squares regression. Ann. Statist. 22, 1346-1370.
43. SAXENA, V. & POPE, S. B. 1996 PDF calculations of non-premixed methane flames with detailed chemistry. In Combustion Institute - Eastern States' Fall Technical meeting, Hilton Head, SC.
44. SHIH, T. S. & LUMLEY, J. L. 1993 Kolmogorov behavior of near-wall turbulence and its application in turbulence modeling. Intl J. Comput. Fluid Dyn. 1(1), 43-56.
45. SINGHAL, A. K. & SPALDING, D. B. 1981 Predictions of two-dimensional boundary layers with the aid of the k-∈ model of turbulence. Comput. Meth. Appl. Mech. Engng 25, 365-383.
46. SO, R. M. C., LAI, Y. G. & ZHANG, H. S. 1991 Second-order near-wall turbulence closures: A review. AIAA J. 29, 1819-1835.
47. SPALDING, D. B. 1977 GENMIX - A General Computer Program for Two-Dirnensional Parabolic Phenomena. Pergamon.
48. SUBRAMANIAM, S. & POPE, S. B. 1997 Comparison of model predictions for the periodic reaction zone model problem. Tech. Rep. Cornell University, Ithaca, NY.
49. VAN DRIEST, E. R. 1956 On turbulent flow near a wall. J. Aero. Sci. 23, 1007-1011.
50. VAN LOAN, C. F. 1978 Computing integrals involving the matrix exponential. IEEE Trans. on Automatic Control ac-23, 395-404.
51. VAN SLOOTEN, P. R., JAYESH & POPE, S. B. 1998 Advances in PDF modeling for inhomogeneous turbulent flows. Phys. Fluids, submitted.
52. WAX, N. 1954 Noise and Stochastic Processes. Dover.
53. WEI, T. & WILLMARTH, W. W. 1989 Reynolds-number effects on the structure of a turbulent channel flow. J. Fluid Mech. 204, 57-95.
54. WILCOX, D. C. 1993 Turbulence Modeling for CFD. DCW Industries.
55. WOELFERT, A. 1995 PDF-simulation of turbulent channel flow including near-wall sublayer using a generalized Langevin model. Tech. Rep. 95-33, Heidelberg University.
56. YEUNG, P. K. & POPE, S. B. 1989 Lagrangian statistics from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 207, 531-586.