Spectral transport model for turbulence

Theoretical and Computational Fluid Dynamics

Volumn 8, Issue 1, 1996, Pages 1-35

  Besnard, D C ^a   Harlow, F H ^b   Rauenzahn, R M ^b   Zemach, C ^b  

^a CEA DIF   (France)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; TRANSPORT PHENOMENA; TURBULENCE;

EID: 0030417317     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00312400     Document Type: Article

References (49)

1. Basdevant, C., Legras, B., Sadourny, R., and Beland, B. (1981). A study of barotropic model flows: intermittency, waves, and predictability. J. Atmospheric Sci., 38, 2305-2326.
2. Batchelor, G.R. (1953). The Theory of Homogeneous Turbulence, pp. 133-168. Cambridge University Press, Cambridge.
3. Bell, T.L., and Nelkin, M. (1977). Nonlinear cascade models for fully developed turbulence. Phys. Fluids, 20, 345-350.
4. Bell, T.L., and Nelkin, M. (1978). Time-dependent scaling relations and a cascade model of turbulence. J. Fluid. Mech., 88, 369-391.
5. Bertoglio, J.P., and Jeandel, D.A. (1987). Simplified spectral closure for inhomogeneous turbulence: application to the boundary layer. In Turbulent Shear Flows, vol. 5, pp. 19-30. Springer-Verlag, New York.
6. Besnard, D.C., and Harlow, F.H. (1988). Turbulence in two-field incompressible flows. Internat. J. Multiphase Flow, 14, 679-699.
7. Besnard, D.C., Harlow, F.H., Rauenzahn, R.M., and Zemach, C. (1990). Spectral Transport Model for Turbulence. Report LA-11821-MS, Los Alamos National Laboratory.
8. Bluman, G.W., and Cole, J.D. (1974). Similarity Methods for Differential Equations. Applied Mathematical Sciences, vol. 13. Springer-Verlag, New York.
9. Brachet, M.E., Meneguzzi, M., Politano, H., and Sulem, P.L. (1988). The dynamics of freely decaying two-dimensional turbulence. J. Fluid. Mech., 194, 333-349.
10. Bradshaw, P., Cebeci, T., and Whitelaw, J. (1981). Engineering Calculation Methods for Turbulent Flow, pp. 45-48. Academic Press, New York.
11. Brissaud, A., Frisch, U., Leorat, J., Lesieur, M., Mazure, A., Pouquet, A., Sadourny, R., and Sulem, P.L. (1973). Catastrophe Énergetique et nature de la turbulence. Ann. Geophys., 29, 539-546.
12. Clark, T. (1991). Spectral Self-Similarity in Homogeneous Anisotropic Turbulence. Report LA-12284-T, Los Alamos National Laboratory.
13. Clark, T., and Zemach, C. (1991). Evolution of turbulence spectra subjected to homogeneous shear in transient and self-similar regimes. Bull. Amer. Phys. Soc., 36, 2686.
14. Comet-Bellot, G., and Corrsin, S. (1966). The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech., 24, 656-682.
15. Daly, B., and Harlow, F.H. (1970). Transport equations in turbulence. Phys. Fluids, 13, 2634-2649.
16. Dannevik, W.P., Yakhot, V., and Orszag, S.A. (1987). Analytical theories of turbulence and the ε expansion. Phys. Fluids, 30, 2021-2029.
17. De Kármán, T., and Howarth, L. (1938). On the statistical theory of isotropic turbulence. Proc. Roy. Soc. London Ser. A, 164, 192-215.
18. Desniansky, V.N., and Novikov, E.A. (1974a). Simulation of cascade processes in turbulent flows. Prikl. Mat. Mekh., 38, 507-513 (English transl. J. Appl. Math. Mech., 38, 468-475).
19. Desniansky, V.N., and Novikov, E.A. (1974a). Simulation of cascade processes in turbulent flows. Prikl. Mat. Mekh., 38, 507-513 (English transl. J. Appl. Math. Mech., 38, 468-475).
20. Desniansky, V.N., and Novikov, E.A. (1974b). Evolution of turbulence spectra toward similarity. Izv. Akad. Nauk SSSR Ser. Fiz. Atmospher. Okeana, 10, 127-136 (English transi. Izv. Acad. Sci. USSR Atmospher. Ocean. Phys., 10, 127-136).
21. Desniansky, V.N., and Novikov, E.A. (1974b). Evolution of turbulence spectra toward similarity. Izv. Akad. Nauk SSSR Ser. Fiz. Atmospher. Okeana, 10, 127-136 (English transi. Izv. Acad. Sci. USSR Atmospher. Ocean. Phys., 10, 127-136).
22. Gilbert, A.D. (1988). Spiral structures and spectra in two-dimensional turbulence. J. Fluid Mech., 193, 475-497.
23. Gilding, B.H. (1980). On a class of similarity solutions of the porous media equation, III. J. Math. Anal. Appl., 77, 381-402.
24. Gilding, B.H., and Peletier, L.A. (1977). On a class of similarity solutions of the porous media equations, II. J. Math. Anal. Appl., 57, 522-538.
25. Gore, R. A., Harlow, F.H., and Zemach, C. (1991). Computation of mixing layers by a spectral transport model. Proc. Eighth Symposium on Turbulent Shear Flows, Munich, Section 29-2, pp. 1-6.
26. Heisenberg, W. (1948). Zur statistician theorie der turbulenz. Z. Phys., 124, 628-657.
27. Herring, J.R., and Mcwilliams, J.C. (1985). Comparison of direct numerical simulation of two-dimensional turbulence with two-point closure: the effects of intermittency. J. Fluid Mech., 153, 229-242.
28. Kolmogorov, A.N. (1941). The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl. Akad. Nauk SSSR, 30, 301-305 (in English).
29. Kovasznay, L.G.S. (1948). Spectrum of locally isotropic turbulence. J. Aero. Sci., 15, 745-753.
30. Kraichnan, R.H. (1967). Inertial ranges in two-dimensional turbulence. Phys. Fluids, 10, 1417-1423.
31. Kraichnan, R.H. (1971). Inertial range transfer in two- and three-dimensional turbulence. J. Fluid Mech., 47, 525-535.
32. Kraichnan, R.H. (1987). An interpretation of the Yakhot-Orszak turbulence theory. Phys. Fluids, 30, 2400-2405.
33. Launder, B.E., and Spalding, D.B. (1972). Mathematical Models of Turbulence. Academic Press, New York.
34. Lander, B.E., and Spalding, D.B. (1974). The numerical computation of turbulent flows. Comput. Methods Appl. Mech. Engrg., 3, 269-289.
35. Launder, B.E., Morse, A., Rodi, W., and Spalding, D.B. (1972). The prediction of free shear flows - a comparison of performance of six turbulence models. Proceedings of NASA Conference on Free Shear Flows, vol. 1, pp. 361-526. Langley Press.
36. Launder, B.E., Reece, G.J., and Rodi, W. (1975). Progress in the development of a Reynolds stress turbulent closure. J. Fluid Mech., 68, 537-566.
37. Leith, C.E. (1967). Diffusion approximation to inertial energy transfer in isotropic turbulence. Phys. Fluids, 10(7), 1409-1416.
38. Leith, C.E. (1968). Diffusion approximation for two-dimensional turbulence. Phys. Fluids, 11, 671-673.
39. Lesieur, M. (1987). Stochastic and Numerical Modeling. Nijhoff, Boston.
40. Lesieur, M., and Schertzer, D. (1978). Amortissement autosimilaire d'une turbulence a grand nombre de Reynolds. J. Méc., 17, 609-636.
41. Menoret, L. (1982). Contribution à l'étude spectral des écoulements turbulents faiblements inhomogènes et anisotropes. Thèse, Univ. Cl. Bernard, Lyon I.
42. Mohamed, M.S., and LaRue, J.C. (1990). The decay power in grid-generated turbulence. J. Fluid Mech., 219, 195-214.
43. Rose, H.A., and Sulem, P.L. (1978). Fully developed turbulence and statistical mechanics, J. Physique, 39, 441-484.
44. Schiestel, R. (1987). Multiple-time-scale modeling of turbulent flows in one-point closures. Phys. Fluids, 30, 722-731.
45. Warhaft, Z. (1980). An experimental study of the effect of uniform strain on thermal fluctuations on grid-generated turbulence. J. Fluid Mech., 99, 545-573.
46. Warhaft, Z., and Lumley, J.L. (1978). An experimental study of decay temperature fluctuations in grid generated turbulence. J. Fluid Mech., 88, 659-684.
47. Yakhot, V., and Orszag, S.A. (1986). Renormalization group analysis of turbulence, I. basic theory. J. Sci. Comput., 1, 3-51.
48. Yoshizawa, A. (1984). Statistical analysis of the deviation of the Reynolds stress from its eddy-viscosity representation. Phys. Fluids, 27(6), 1377-1387.
49. Yoshizawa, A. (1987). Statistical modeling of a transport equation for the kinetic energy dissipation rate. Phys. Fluids, 30, 628-631.