Modelling of rapid pressure-strain in reynolds-stress closures

Journal of Fluid Mechanics

Volumn 269, Issue , 1994, Pages 143-168

  Johansson, Arne V ^a   Hallback, Magnus ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ANISOTROPY; COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; PRESSURE; ROTATIONAL FLOW; STRAIN; STRESSES; TENSORS; TURBULENCE; TURBULENT FLOW;

HOMOGENEOUS FLOWS; INTERCOMPONENT TRANSFER; IRROTATIONAL MEAN FLOWS; RAPID DISTORTION THEORY; REYNOLD STRESS TRANSPORT CLOSURES; SHEAR FLOW;

FLUID DYNAMICS;

FLUID FLOW; MODELLING-MATHEMATICAL; TURBULENCE;

EID: 0028450156     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112094001515     Document Type: Article

References (42)

1. BATCHELOR, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
2. BRADSHAW, P., MANSOUR, N. N. & PIOMELLI, U. 1987 On local approximations of the pressure-strain term in turbulence models. Summer Program, Center for Turbulence Research, NASA Ames-Stanford University.
3. CAMBON, C. & JACQUIN, L. 1989 Spectral approach to non-isotropic turbulence subjected to rotation. J. Fluid Mech. 202, 295–317.
4. CAMBON, C., JACQUIN, L. & LUBRANO, J. L. 1992 Toward a new Reynolds stress model for rotating turbulent flows. Phys. Fluids A 4, 812–824.
5. CAMBON, C., JEANDEL, D. & MATHIEU, J. 1981 Spectral modelling of homogeneous non-isotropic turbulence. J. Fluid Mech. 104, 247–262.
6. CHOU, P. Y. 1945 On velocity correlations and the solutions of the equations of turbulent fluctuation. Q. Appl. Maths 3, 38–54.
7. CROW, S. C. 1968 Viscoelastic properties of fine-grained incompressible turbulence. J. Fluid Mech. 33, 1–20.
8. FU, S., LAUNDER, B. E. & TSELEPIDAKIS, D. P. 1987 Accommodating the effects of high strain rates in modelling the pressure-strain correlations. UMIST Mech. Engng Dept Rep. TFD/87/5.
9. HALLBACK, M., GROTH, J. & JOHANSSON, A. V. 1990 An algebraic model for non-isotropic turbulent dissipation rate in Reynolds stress closures. Phys. Fluids A 2, 1859–1866.
10. HALLBACK, M., SJOGREN, T. & JOHANSSON, A. V. 1993 Modeling of intercomponent transfer in Reynolds stress closures of homogeneous turbulence. In Turbulent Shear Flows IX (ed. F. Durst, N. Kasagi, B. E. Launder, F. W. Schmidt & J. H. Whitelaw). Springer (to appear).
11. HANJALIC, K. & LAUNDER, B. E. 1972 A Reynolds stress model of turbulence and its application to thin shear flows. J. Fluid Mech. 52, 609–638.
12. HUNT, J. C. R. 1978 A review of the theory of rapidly distorted turbulent flows and its applications. Fluid Dyn. Trans. 9, 121–152.
13. LAUNDER, B. E. 1989 Second-moment closure: present… and future? Inti J. Heat Fluid Flow 10, 282–300.
14. 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.
15. LAUNDER, B. E., TSELEPIDAKIS, D. P. & YOUNIS, B. A. 1987 A second-moment closure study of rotating channel flow. J. Fluid Mech. 183, 63–75.
16. LEE, M. J. 1986 Useful formulas in the rapid distortion theory of homogeneous turbulence. Phys. Fluids 29, 3471–3474.
17. LEE, M. J. 1989 Distortion of homogeneous turbulence by axisymmetric strain and dilatation. Phys. Fluids A 1, 1541–1557.
18. LEE, M. J. 1990 A contribution toward rational modeling of the pressure-strain-rate correlation. Phys. Fluids A 2, 630-633.
19. LEE, M. J., KIM, J. & MOIN, P. 1989 Structure of turbulence at high shear rate. J. Fluid Mech. 216, 561–583.
20. LEE, M. J. & REYNOLDS, W. C. 1985 Numerical experiments on the structure of homogeneous turbulence. Stanford Univ. Tech. Rep. TF-24.
21. LE PENVEN, L. & GENCE, J.-N. 1983 Une methode de construction systematique de la relation de fermeture liant la partie linéaire de la correlation pression-déformation au tenseur de Reynolds dans une turbulence homogene soumise a une deformation uniforme, C.R. Acad. Sci. Paris II 297, 309–312.
22. LUMLEY, J. L. 1978 Computational modeling of turbulent flows. Adv. Appl. Mech. 18, 123–177.
23. LUNDBLADH, A. & JOHANSSON, A. V. 1991 Direct simulation of turbulent spots in plane Couette flow. J. Fluid Mech. 229, 499–516.
24. MANSOUR, N. N., SHIH, T.-H. & REYNOLDS, W. C. 1991 The effects of rotation on initially anisotropic homogeneous flows. Phys. Fluids A 3, 2421–2425.
25. MAXEY, M. R. 1982 Distortion of turbulence in flows with parallel stream lines. J. Fluid Mech. 124, 261–282.
26. MORRIS, P. J. 1984 Modeling the pressure redistribution terms. Phys. Fluids 27, 1620–1623.
27. NAOT, D., SHAVIT, A. & WOLFSHTEIN, N. 1973 Two-point correlation model and the redistribution of Reynolds stresses. Phys. Fluids 16, 738–743.
28. POPE, S. B. 1985 PDF methods for turbulent reactive flows. Prog. Energy Combust. Sci. 11, 119.
29. REYNOLDS, W. C. 1976 Computation of turbulent flows. Ann. Rev. Fluid Mech. 8, 183–208.
30. REYNOLDS, W. C. 1987 Fundamentals of turbulence for turbulence modelling and simulation. Lecture Notes for Von Karman Institute, AGARD-CP-93. NATO.
31. REYNOLDS, W. C. 1989 Effects of rotation on homogeneous turbulence. In Proc. 10th Australasian Fluid Mechanics Conf., Melbourne, December 1989, Paper KS-2.
32. ROGALLO, R. S. 1981 Numerical experiments in homogeneous turbulence. NASA TM 81315.
33. ROTTA, J. 1951 Statistische Theorie nichthomogener Turbulenz. Z. Physik 129, 547–572.
34. SCHUMANN, U. 1977 Realizability of Reynolds-stress models. Phys. Fluids 20, 721–725.
35. SHIH, T.-H. & LUMLEY, J. L. 1985 Modeling of pressure correlation terms in Reynolds stress and scalar flux equations. Tech. Rep. FDA-85-3. Cornell University.
36. SHIH, T.-H. & LUMLEY, J. L. 1993 Critical comparison of second-order closures with direct numerical simulations of homogeneous turbulence. AIAA J. 31, 663–670.
37. SHIH, T.-H., MANSOUR, N. N. & CHEN, J. Y. 1987 Reynolds stress models of homogeneous turbulence. In Proc. 1987 Summer Program, Center for Turbulence Research, NASA Ames-Stanford University.
38. SHIH, T.-H., REYNOLDS, W. C. & MANSOUR, N. N. 1990 A spectrum model for weakly anisotropic turbulence. Phys. Fluids A 2, 1500–1502.
39. SPENCER, A. J. M. & RIVLIN, R. S. 1958 The theory of matrix polynomials and its application to the mechanics of isotropic continua. Arch. Rat. Mech. Anal. 2, 309–336.
40. SPEZIALE, C. G., GATSKI, T. B. & MAC GIOLLA MHUIRIS, N. 1990 A critical comparison of turbulence models for homogeneous shear flows in a rotating frame. Phys. Fluids A 2, 1678–1684.
41. SPEZIALE, C. G., SARKAR, S. & GATSKI, T. B. 1991 Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach. J. Fluid Mech. 227, 245–272.
42. TOWNSEND, A. A. 1970 Entrainment and the structure of turbulent flow. J. Fluid Mech. 41, 13-46.