A priori tests of one-equation LES modeling of rotating turbulence

Journal of Turbulence

Volumn 8, Issue , 2007, Pages 1-27

  Lu, Hao ^a   Rutland, Christopher J ^a   Smith, Leslie M ^a  

^a University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DIRECT NUMERICAL SIMULATION; ENERGY TRANSFER; KINETIC ENERGY; LARGE EDDY SIMULATION; REGRESSION ANALYSIS; TURBULENCE;

ANISOTROPY; CORRELATION; NUMERICAL MODEL; REGRESSION ANALYSIS; ROTATING FLOW; TURBULENCE; TURBULENT FLOW; VISCOSITY; VISCOUS FLOW;

EID: 50849132198     PISSN: None     EISSN: 14685248     Source Type: Journal    
DOI: 10.1080/14685240701493947     Document Type: Article

References (59)

1. Bardina, J., Ferziger, J. H. and Reynolds, W. C. Improved subgrid scale models for large eddy simulation
2. Bardina, J., Ferziger, J. H. and Reynolds, W. C. (1983) Improved turbulence models based on large eddy simulation of homogeneous incompressible, turbulent flows, Thermosciences Division, Department of Mechanical Engineering, Stanford University, Stanford, California
3. Bardina, J., Ferziger, J. H. and Rogallo, R. S. (1985) Effect of rotation on isotropic turbulence: Computation and modeling. Journal of Fluid Mechanics, 154, pp. 321-336.
4. Bartello, P., Metais, O. and Lesieur, M. (1994) Coherent structures in rotating three-dimensional turbulence. Journal of Fluid Mechanics, 273, pp. 1-29.
5. Borue, V. (1994) Inverse energy cascade in stationary two-dimensional homogeneous turbulence. Physical Review Letters, 72:10, pp. 1475-1478.
6. Borue, V. and Orszag, S. A. (1995) Self-similar decay of three-dimensional homogeneous turbulence with hyperviscosity. Physical Review E, 51:2, pp. R856-R859.
7. Borue, V. and Orszag, S. A. (1996) Numerical study of three-dimensional Kolmogorov flow at high Reynolds numbers. Journal of Fluid Mechanics, 306, pp. 293-323.
8. Cambon, C., Mansour, N. N. and Godeferd, F. S. (1997) Energy transfer in rotating turbulence. Journal of Fluid Mechanics, 337, pp. 303-332.
9. Cambon, C., Mansour, N. N. and Squires, K. D. (1994) Anisotropic structure of homogeneous turbulence subjected to uniform rotation. Proceeding of the Summer Program, pp. 397-420.
10. Canuto, C., Hussaini, M. Y., Quarteroni, A. and Zang, T. A. (1988) Spectral Methods in Fluid Dynamics, Sprnger, Berlin
11. Chasnov, J. R. (1994) Similarity states of passive scalar transport in isotropic turbulence. Physics of Fluids, 6:2, pp. 1036-1051.
12. Chumakov, S. G. and Rutland, C. J. (2004) Dynamic structure models for scalar flux and dissipation in large eddy simulation. AIAA Journal, 42:6, pp. 1132-1139.
13. Chumakov, S. G. and Rutland, C. J. (2005) Dynamic structure subgrid-scale models for large eddy simulation. International Journal for Numerical Methods in Fluids, 47, pp. 911-923.
14. Clark, R. A., Ferziger, J. H. and Reynolds, W. C. (1979) Evaluation of subgrid-scale models using an accurately simulated turbulent flow. Journal of Fluid Mechanics, 91:1, pp. 1-16.
15. Cook, A. W. (1997) Determination of the constant coefficient in scale similarity models of turbulence. Physics of Fluids, 9:5, pp. 1485-1487.
16. Deardorff, J. W. (1973) The use of subgrid transport equations in a three-dimensional model of atmospheric turbulence. Journal of Fluid Engineering, 95, pp. 429-438.
17. Ferziger, J. H. (2000) Large Eddy Simulation-A Short Course, Stanford University, Stanford, CA
18. Germano, M. (1986) A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations. Physics of Fluids, 29:7, pp. 2323-2324.
19. Germano, M., Piomelli, U. and Cabot, W. H. (1991) A dynamic subgrid-scale eddy viscosity model. Physics of Fluids A, 3:7, pp. 1760-1765.
20. Geurts, B. J. (2001) Modern simulation strategies for turbulent flow, R. T. Edwards, Inc., Philadelphia, PA
21. Horiuti, K. (1993) A proper velocity scale for modeling subgrid-scale eddy viscosities in large eddy simulation. Physsics Fluids A, 5:1, pp. 146-157.
22. Horiuti, K. (1997) A new dynamic two-parameter mixed model for large-eddy simulation. Physics of Fluids, 9:11, pp. 3443-3464.
23. Horiuti, K. (2001) Rotational transformation and geometrical correlation of SGS models. Modern Simulation Strategies for Turbulent Flow, pp. 123-140. R.T. Edwards Inc., Philadelphia, PA
24. Horiuti, K. (2006) Transformation properties of dynamic subgrid-sale models in a frame of reference undergoing rotation. Journal of Turbulence, 7:16, pp. 1-27.
25. Kim, W.-W. and Menon, S. (1995) A new dynamic one-equation subgrid-scale model for large eddy simulations. AIAA-1995-356, Aerospace Sciences Meeting and Exhibit, 33rd Reno, NV
26. Kobayashi, H. and Shimomura, Y. (2001) The performance of dynamic subgrid-scale models in the large eddy simulation of rotating homogeneous turbulence. Physics of Fluids, 13:8, pp. 2350-2360.
27. Leonard, A. (1974) Energy cascade in large-eddy simulation of turbulent fluid flows. Advances in Geophysics, 18, p. 237.
28. Lilly, D. K. (1983) Stratified turbulence and the mesoscale variability of the atmosphere. Journal of Atmospheric Sciences, 40, pp. 749-761.
29. Lilly, D. K. (1992) A proposed modification of the Germano subgrid-scale closure method. Physics of Fluids, 4:3, pp. 633-635.
30. Liu, S., Meneveau, C. and Katz, J. (1994) On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet. Journal of Fluid Mechanics, 275, pp. 83-119.
31. Liu, S., Meneveau, C. and Katz, J. (1995) Experimental study of similarity subgrid-scale models of turbulence in the far-field of a jet. Applied Scientific Research, 54, pp. 177-190.
32. Lumley, J. L. (1970) Toward a turbulent constitutive relation. Journal of Fluid Mechanics, 41:2, pp. 413-434.
33. Mansour, N. N., Cambon, C. and Speziale, C. G. (1992) Studies in turbulence. Theoretical and Computational Study of Rotating Isotropic Turbulence, Springer, New York
34. McMillan, O. J., Ferziger, J. H. and Rogallo, R. S. (1980) Tests of new subgrid scale models in strained turbulence
35. Menon, S., Yeung, P.-K. and Kim, W.-W. (1996) Effect of subgrid models on the computed interscale energy transfer in isotropic turbulence. Computers and Fluids, 25:2, pp. 165-180.
36. Morinishi, Y., Nakabayashi, K. and Ren, S. Q. (2001) Dynamic of anisotropy on decaying homogeneous turbulence subjected to system rotation. Physics of Fluids, 13:10, pp. 2912-2922.
37. Morinishi, Y., Nakabayashi, K. and Ren, S. Q. (2001) A new DNS algorithm for rotating homogeneous decaying turbulence. International Journal of Heat and Fluid Flow, 22, pp. 30-38.
38. Overholt, M. R. and Pope, S. B. (1998) A detrministic forcing scheme for direct numerical simulations of turbulence. Computers and Fluids, 27:1, pp. 11-28.
39. Pedlosky, J. (1986) Geophysical Fluid Dynamics, Springer, New York
40. Piomelli, U. and Liu, J. (1995) Large-eddy simulation of rotating channel flows using a localized dynamic model. Physics of Fluids, 7:4, pp. 839-848.
41. Piomelli, U., Moin, P. and Ferziger, J. H. (1988) Model consistency in large eddy simulation of turbulent channel flows. Physics of Fluids, 31:7, pp. 1884-1891.
42. Pomraning, E. (2000) Development of large eddy simulation turbulence models, PhD thesis. University of Wisconsin, Madison
43. Pomraning, E. and Rutland, C. J. (2002) Dynamic one-equation nonviscosity large-eddy simulation model. AIAA Journal, 40, pp. 689-701.
44. Pope, S. B. (2000) Turbulent Flows, Cambridge University Press, Cambridge
45. Segel, L. A. (1977) Mathematics Applied to Continuum Mechanics, Macmillian, New York
46. Shimomura, Y. (1999) A family of dynamic subgrid-scale models consistent with asymptotic material frame indifference. Journal of the Physical Society of Japan, 68:8, pp. 2483-2486.
47. Smagorinsky, J. (1963) General circulation experiments with the primitive equations: I. The basic experiment. Monthly Weather Review, 91:3, pp. 99-164.
48. Smith, L. M., Chasnov, J. R. and Waleffe, F. (1996) Crossover from two- to three-dimensional turbulence. Physical Review Letters, 77:12, pp. 2467-2470.
49. Smith, L. M. and Lee, Y. (2005) On near resonances and symmetry breaking in forced rotating flows at moderate rossby number. Journal of Fluid Mechanics, 535, pp. 111-142.
50. Smith, L. M. and Waleffe, F. (1999) Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence. Physics of Fluids, 11:6, pp. 1608-1622.
51. Smith, L. M. and Waleffe, F. (2002) Generation of slow large scales in forced rotating stratified turbulence. Journal of Fluid Mechanics, 451, pp. 145-168.
52. Speziale, C. G. (1983) Closure models for rotating two-dimensional turbulence. Geophysical and Astrophysical Fluid Dynamics, 23, pp. 69-84.
53. Speziale, C. G. (1985) Galilean invariance of subgrid-scale stress models in the large-eddy simulation of turbulence. Journal of Fluid Mechanics, 156, pp. 55-62.
54. Speziale, C. G. (1985) Subgrid scale stress models for the large-eddy simulation of rotating turbulent flows. Geophys. Astrophys. Fluid Dynamics, 33, pp. 199-222.
55. Speziale, C. G. (1989) Turbulence modeling in non-inertial frames of reference. Theoretical and Computational Fluid Dynamics, 1:3
56. Taylor, G. I. (1935) Statistical theory of turbulence. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 151:873, pp. 421-444.
57. Yeung, P. K. and Zhou, Y. (1998) Numerical study of rotating turbulence with external forcing. Physics of Fluids, 10:11, pp. 2895-2909.
58. Yoshizawa, A. and Horiuti, K. (1985) A statistically-derived subgrid-scale kinetic energy model for the large-eddy simulation of turbulent flows. Journal of the Physical Society of Japan, 54:8, pp. 2834-2839.
59. Zang, Y., Street, R. L. and Koseff, J. R. (1993) A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows. Physics of Fluids A, 5:12, pp. 3186-3196.