Direct numerical simulation of turbulent flow in elliptical ducts

Journal of Fluid Mechanics

Volumn 532, Issue , 2005, Pages 141-164

  Nikitin, Nikolay ^a   Yakhot, Alexander ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DUCTS; STATISTICAL METHODS; TURBULENCE; VORTEX FLOW;

DIRECT NUMERICAL SIMULATIONS (DNS); REYNOLD STRESSES; TURBULENCE INTENSITIES; VELOCITY FIELDS;

TURBULENT FLOW;

DUCT; MATHEMATICAL MODELING; TURBULENT FLOW;

EID: 21344466293     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112005003964     Document Type: Article

References (31)

1. Akselvoll, K. & Moin, P. 1996 An efficient method for temporal integration of the Navier-Stokes equations in confined axisymmetric geometries. J. Comput. Phys. 125, 454-463.
2. Balaras, E. 2004 Modeling complex boundaries using an external force field on fixed Cartesian grids in large-eddy simulations. Comput. Fluids 33, 375-404.
3. Cain, D. & Duffy, J. 1971 An experimental investigation of turbulent flow in elliptical ducts. Intl J. Mech. Sci. 13, 451-459.
4. Choi, H. & Moin, P. 1994 Effects of the computational time step on numerical solutions of turbulent flow. J. Comput. Phys. 113, 1-4.
5. Demuren, A. O. & Rodi, W. 1984 Calculation of turbulence-driven secondary motion in non-circular ducts. J. Fluid Mech. 140, 189-222.
6. Eggels, J. G. M., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Friedrich, R. & Nieuwstadt, F. T. M. 1994 Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175-209.
7. Fadlun, E. A., Verzicco, R., Orlandi, P. & Mohd-Yusof, J. 2000 Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations. J. Comput. Phys. 161, 35-66.
8. Fukagata, K. & Kasagi, N. 2002 Highly energy-conservative finite difference method for the cylindrical coordinate system. J. Comput. Phys. 181, 478-498.
9. Gavrilakis, S. 1992 Numerical simulation of low-Reynolds-number turbulent flow through a straight square duct. J. Fluid Mech. 244, 101-129.
10. Harlow, F. H. & Welsh, J. E. 1965 Numerical calculation of time-dependent viscous incompressible flow with free surface. Phys. Fluids 8, 2182-2189.
11. Huser, A. & Biringen, S. 1993 Direct numerical simulation of turbulent flow in a square duct. J. Fluid Mech. 257, 65-95.
12. Jiménez. J. & Moin. P. 1991 The minimal flow unit in near-wall turbulence. J. Fluid Mech. 225, 213-240.
13. Jones, O. C. 1976 An improvement in the calculation of turbulent friction in rectangular ducts. J. Fluids Engng 96, 173-181.
14. Kim, J., Kim, D. & Choi, H. 2001 An immersed-boundary finite-volume method for simulations of flow in complex geometries. J. Comput. Phys. 171, 132-150.
15. Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133-166.
16. Lee, M., Kim, J. & Moin, P. 1990 Structure of turbulence at high shear rate. J. Fluid Mech. 190, 561-583.
17. Madabhushi, R. K. & Vanka, S. P. 1993 Direct numerical simulations of turbulent flow in a square duct at low Reynolds number. In Near-Wall Turbulent Flows (ed.) R. M. C. So, C. G. Speziale & B. E. Launder, pp. 297-306. Elsevier.
18. Mohd-Yusof, J. 1997 Combined immersed boundaries/B-splines method for simulations of flows in complex geometries. CTR Annu. Res. Briefs. NASA Ames/Stanford University.
19. Moin, P. 2002 Advances in large eddy simulation methodology for complex flows. Intl J. Heat Fluid Flow 23, 710-720.
20. Moin, P. & Mahesh, K. 1998 Direct numerical simulation: a tool in turbulence research. Annu. Rev. Fluid Mech. 30, 539-578.
21. Morinishi, Y., Vasilyev, O. V. & Ogi, T. 2004 Fully conservative finite difference scheme in cylindrical coordinates for incompressible flow simulations. J. Comput. Phys. 197, 686-710.
22. τ = 590. Phys. Fluids 11, 943-945.
23. Nikitin, N. 1994 Direct numerical modelling of three-dimensional turbulent flows in pipes of circular cross section. Fluid Dyn. 29, 749-757.
24. Nikitin, N. 1996 Statistical characteristics of wall turbulence. Fluid Dyn. 31, 361-370.
25. Nikitin, N. 1997 Numerical simulation of turbulent flows in a pipe of square cross section. Phys. Dokl. 42, 158-162.
26. Peskin, C. S. 1972 Flow patterns around heart valves: a numerical method. J. Comput. Phys. 10, 252-271.
27. Rai, M. M. & Moin, P. 1991 Direct simulations of turbulent flow using finite-difference schemes. J. Comput. Phys. 96, 15-53.
28. Schumann, U. 1975 Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli. J. Comput. Phys. 18, 376-401.
29. θ = 1410. J. Fluid Mech. 187, 61-98.
30. Swarztrauber, P. N. 1974 A direct method for the discrete solution of separable elliptic equations. SIAM J. Numer. Anal. 11, 1136-1150.
31. Verzicco, R. & Orlandi, P. 1996 A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates. J. Comput. Phys. 123, 402-414.