Mathematical and physical constraints on large-eddy simulations

Theoretical and Computational Fluid Dynamics

Volumn 9, Issue 2, 1997, Pages 85-102

  Fureby, C ^a   Tabor, G ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031531843     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001620050034     Document Type: Article

References (32)

1. J. Deardorff, A Numerical Study of Three-Dimensional Turbulent Channel Flow at Large Reynolds Numbers, J. Fluid Mech., 41 453 (1972).
2. W.C. Reynolds, The Potential and Limitations of Direct and Large Eddy Simulations, in Wither Turbulence? Turbulence at the Crossroads, Lumley, J.L., ed., Lecture Notes in Physics, Vol. 357, Springer-Verlag, Berlin, p. 313 (1990).
3. T.A. Zang, R.B. Dahlburg, and J.P. Dahlburg, Direct and Large Eddy Simulations of Three-Dimensional Compressible Navier-Stokes Turbulence, Phys. Fluids A, 4, 127 (1990).
4. C. Fureby, Large Eddy Simulation of Turbulent Anisochoric Flows, AIAA J., 33, 1263 (1995).
5. S. Menon and W.-H. Jou, Large Eddy Simulations of Combustion Instabilities in an Axisymmeric Ramjet Combustor, Combust Sci. Technol., 75, 53 (1991).
6. T. Kawamura and K. Kuwahara, Computation of High Reynolds Number Flow around a Circular Cylinder with Surface Roughness, AIAA Paper No. 84-0340 (1984).
7. S. Menon, P.-K. Yeung, and W.-W. Kim, Effect of Sub-Grid Models on the Computed Interscale Energy Transfer in Isotropic Turbulence, AIAA Paper No. 94-2387 (1994)
8. C. Fureby, On Sub-Grid Scale Modeling in Large Eddy Simulations of Compressible Fluid Flow, Phys. Fluids, 8, 1301 (1996).
9. C. Truesdell and W. Noll, The Nonlinear Field Theories of Mechanics, Encyclopedia of Physics, Vol. III, Springer-Verlag, Berlin (1965).
10. M.E. Gurtin, An Introduction to Continuum Mechanics, Academic Press, Orlando, FL (1981).
11. U. Schumann, Readability of Reynolds Stress Turbulence Models, Phys. Fluids, 20, 721 (1977).
12. J.L. Lumley, Computational Modelling of Turbulent Flows, Adv. in Appl. Mech., 18, 123 (1973).
13. S. Ghosal and P. Moin, The Basic Equations for the Large Eddy Simulation of Turbulent Flows in Complex Geometry, J. Comput. Phys., 118, 24 (1995).
14. C.G. Speziale, Invariance of Turbulent Closure Models, Phys. Fluids, 22, 1033 (1979).
15. C.G. Speziale, Galilean Invariance of Sub-Grid Scale Stress Models in the Large Eddy Simulation of Turbulence, J. Fluid Mech., 156, 55 (1985).
16. G.F. Smith, On Isotropic Functions of Symmetric Tensors, Skew Symmetric Tensors, and Vectors, Internat. J. Engng. Sci., 9, 899 (1971).
17. B. Vreman, B. Geurts, and H. Kuerten, Realizability Conditions for the Turbulent Stress Tensor in Large Eddy Simulation, J. Fluid Mech., 278, 351 (1994).
18. F.R. Gantmacher, The Theory of Matrices, Chelsea, New York (1959).
19. A.A. Aldama, Leonard and Cross-Term Approximations in the Anisotropically Filtered Equations of Motion, in Large Eddy Simulation of Complex Engineering and Geophysical Flows, Galperin, B., and Orszag, S.A., eds, Cambridge University Press, New York (1983).
20. J.H. Ferziger, Large Eddy Simulation, in Simulation and Modeling of Turbulent Flows, Gatski, T.B., Hussaini, M.Y., and Lumley, J.L., eds, Oxford University Press, Oxford (1986).
21. C. Fureby, G. Tabor, H. Weller, and A.D. Gosman, A Comparative Study of Sub-Grid Scale Models in Homogeneous Isotropic Turbulence, Phys. Fluids, 9, 1416 (1997).
22. J. Jiménez, A. Wray, P.G. Saffman, and R. Rogallo, The Structure of Intense Vorticity in Isotropic Turbulence, J. Fluid Mech., 255, 65 (1993).
23. W.T. Ashurst, A.R. Kerstein, R.M. Kerr, and C.H. Gibson, Alignment of Vorticity of Scalar Gradients with Strain Rate in Simulated Navier-Stokes Turbulence, Phys. Fluids, 30, 2343 (1987).
24. C. Fureby, A.D. Gosman, N. Sandham, G. Tabor, H.G. Weller, and M. Wolfstein, Large Eddy Simulation of Fully Developed Channel Flow, Turbulent Shear Flows, 11, to appear (1997).
25. N.D. Sandham and R.J.A. Howard, Statistics Databases from Direct Numerical Simulation of Fully Developed Turbulent Channel Flow, Technical Report QMW-EP-1106, Queen Marry and Westfield College, London (1995).
26. J.S. Smagorinsky, General Circulation Experiments with Primitive Equations, Mon. Weather Rev., 94, 99 (1963).
27. U. Schumann, Subgrid Scale Model for Finite Difference Simulation of Turbulent Flows in Plane Channels and Annuli, J. Comput. Phys., 18, 376 (1975).
28. M. Germano, U. Piomelli, P. Moin, and W.H. Cabot, A Dynamic Sub-Grid Scale Eddy Viscosity Model, Phys. Fluids A, 3, 1760 (1994).
29. S. Ghosal, T.S. Lund, and P Moin, A Dynamic Localization Model for Large Eddy Simulation of Turbulent Flows, J. Fluid Mech., 286, 229 (1992).
30. W.-W. Kim and S. Menon, A New Dynamic One Equation Sub-Grid Scale Model for Large Eddy Simulations, AIAA Paper No. 95-0356 (1994).
31. J. Bardina, J.H. Ferziger, and W.C. Reynolds, Improved Subgrid Scale Models for Large Eddy Simulations, AIAA Paper No. 80-1357 (1980).
32. J.W. Deardorff, The Use of Subgrid Transport Equations in a Three-Dimensional Model of Atmospheric Turbulence, Trans. ASME J. Fluids Engng., 429 (1973).