Low-Reynolds number turbulence models: An approach for reducing mesh sensitivity

Journal of Fluids Engineering, Transactions of the ASME

Volumn 126, Issue 1, 2004, Pages 14-21

  Bredberg, Jonas ^a   Davidson, Lars ^b  

^a VOLVO AERO CORPORATION   (Sweden)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; FLOW OF FLUIDS; LINEAR ALGEBRA; REYNOLDS NUMBER; SENSITIVITY ANALYSIS; VAN DER WAALS FORCES;

ALGEBRIC FUNCTIONS; CONVERGENCE RATE; LENGTH SCALE VARIATIONS; ZONAL APPROACH;

TURBULENCE;

EID: 8744250029     PISSN: 00982202     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1638791     Document Type: Article

References (40)

1. Bredberg, J., Peng, S-H., and Davidson, L., 2002, An Improved k - ω Turbulence Model Applied to Recirculating Flows. Int. J. Heat Fluid Flow, 23, 731-743.
2. S. V. Patankar, and D. B. Spalding, 1970, Heat and Mass Transfer in Boundary Layers. Intertext Books, London.
3. D. C. Wilcox, 1993, Turbulence Modeling for CFD. DCW Industries, Inc.
4. Launder, B. E., 1984, Numerical Computation of Convective Heat Transfer in Complex Turbulent Flows: Time to Abandon Wall Functions? Int. J. Heat Mass Transfer, 27, 1485-1491.
5. Launder, B. E., and Spalding, D. B., 1974, The Numerical Computation of Turbulent Flows. Comput. Methods Appl. Mech. Eng., 3, 269-289.
6. Chieng, C. C., and Launder, B. E., 1980, On the Calculation of Turbulent Heat Transfer Transport Downstream an Abrupt Pipe Expansion. Numer. Heat Transfer, 3, 189-207.
7. Johnson, R. W., and Launder, B. E., 1982, Discussion of: On the Calculation of Turbulent Heat Transfer Transport Downstream an Abrupt Pipe Expansion. Numer. Heat Transfer, 5, 493-496.
8. Ciofalo, M., and Collins, M. W., 1989, k - ε Predictions of Heat Transfer in Turbulent Recirculating Flows Using an Improved Wall Treatment. Numer. Heat Transfer, 15, 21-47.
9. Amano, R. S., Jensen, M. K., and Goel, P., 1983, A Numerical and Experimental Investigation of Turbulent Heat Transport Downstream From an Abrupt Pipe Expansion. J. Heat Transfer, 105, 862-869.
10. Amano, R. S., 1984, Development of a Turbulence Near-wall Model and its Application to Separated and Reattached Flows. Numer. Heat Transfer, 7, 59-75.
11. Acharya, S., Dutta, S., and Myrum, T. A., 1998, Heat Transfer in Turbulent Flow Past a Surface-mounted Two-dimensional Rib. I. Heat Transfer, 120, 724-734.
12. Heyerichs, K., and Pollard, A., 1996, Heat transfer in Separated and Impinging Turbulent Flows. Int. J. Heat Mass Transfer, 39, 2385-2400.
13. J. Bredberg, 2002, Turbulence Modelling for Internal Cooling of Gas-Turbine Blades, Ph.D. thesis, Dept. of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg. Also available at www.tfd.chalmers.se/ ~lada.
14. Iacovides, H., and Launder, B. E., 1984, PSL-an Economical Approach to the Numerical Analysis of Near-wall, Elliptic Flow. J. Fluids Eng., 106, 241-242.
15. Choi, Y. D., Iacovides, H., and Launder, B. E., 1989, Numerical Computation of Turbulent Flow in a Square-sectioned 180 Deg Bend. J. Fluids Eng., III, 59-68.
16. Spalding, D. B., 1967, Heat Transfer from Turbulent Separated Flows. J. Fluid Mech., 27, 97-109.
17. Wolfshtein, M., 1969, The Velocity and Temperature Distribution in One-dimensional Flow with Turbulence Augmentation and Pressure Gradient. Int. J. Heat Mass Transfer, 12, 301-318.
18. T. J. Craft, A. V. Gerasimov, H. Iacovides, and B. E. Launder, 2001, Progress in the Generalization of Wall-function Treatments. Report, Dept. of Mechanical Engineering, UMIST, Manchester.
19. T. J. Craft, A. V. Gerasimov, H. Iacovides, B. E. Launder, and C. Robinson, 2001, A New Wall Function Strategy for Forced and Mixed Convection. In: 2nd Int. Symp. on Turbulent Shear Flow Phenomena, pages 1-20, Stockholm.
20. Wilcox, D. C., 1988, Reassessment of the Scale-determining Equation for Advanced Turbulence Models. AIAA J., 26, 1299-1310.
21. J. Bredberg, S-H. Peng, and L. Davidson, 2000, On the Wall Boundary Condition for Computing Heat Transfer with k - ω Models. In: J. H. Kim, editor, HTD-Vol. 366-5, ASME Heat Transfer Division-2000, 5, pages 243-250, Orlando. The American Society of Mechanical Engineers.
22. J. Bredberg, 2000, On the Wall Boundary Condition for Turbulence Model. Report 00/4, Dept. of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg. Also available at www.tfd.chalmers.se/~lada.
23. P. Rautaheimo, and T. Siikonen, 2000, Improved Solid-wall Boundary Treatment in Low-Reynolds Number Turbulent Models. AIAA Paper 2000-0136, Reno, NV, USA.
24. H. Grotjans, and F. R. Menter, 1998, Wall Functions for General Application CFD Codes. In: CD-ROM Proceedings of ECCOMAS, pages 1112-1117, Athens.
25. Kays, W. M., 1994, Turbulent Prandtl Number-where Are We? J. Heat Transfer, 116, 284-295.
26. H. Tennekes, and J. L. Lumley, 1972, A First Course in Turbulence. Massachusetts Institute of Technology, Cambridge.
27. Hanjalić, K., and Launder, B. E., 1976, Contribution Towards a Reynolds-stress Closure for Low-Reynolds-number Turbulence. J. Fluid Mech., 74, 593-610.
28. R. D. Moser, J. Kim, and N. N. Mansour, 1999, Direct Numerical Simulation of Turbulent Channel Flow up to Re=590. Physics of Fluids, 11: 943-945. Data available at www.tam.uiuc.edu/Faculty/Moser/.
29. Mansour, N. N., Kim, J., and Moin, P., 1988, Reynolds-stress and Dissipationrate Budgets in a Turbulent Channel Flow. J. Fluid Mech., 194, 15-44.
30. K. Hanjalić, 2002, Near-wall behavior of e and ω Private Communication, Dept. of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg.
31. Huang, P. G., and Bradshaw, P., 1995, Law of the Wall for Turbulent Flows in Pressure Gradients. AIAA J., 33, 624-632.
32. Abe, K., Kondoh, T., and Nagano, Y., 1994, A New Turbulence Model for Predicting Fluid Flow and Heat Transfer in Separating and Reattaching Flows-I. Flow Field Calculations. Int. J. Heat Mass Transfer, 37, 139-151.
33. Le, H., Moin, P., and Kim, J., 1997, Direct Numerical Simulation of Turbulent Flow Over a Backward-facing Step. I. Fluid Mech., 330, 349-374.
34. Rau, G., Cakan, M., Moeller, D., and Arts, T., 1998, The Effect of Periodic Ribs on the Local Aerodynamic and Heat Transfer Performance of a Straight Cooling Channel. J. Turbomach., 120, 368-375.
35. L. Davidson, and B. Farhanieh, 1995, CALC-BFC. Report 95/11, Dept. of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg.
36. van Leer, B., 1974, Towards the Ultimate Conservative Difference Monotonicity and Conservation Combined in a Second-order Scheme. J. Comput. Phys., 14, 361-370.
37. Rhie, C. M., and Chow, W. L., 1983, Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation. AIAA I., 21, 1525-1532.
38. W. B. George, 2001, Lecture notes, Turbulence Theory. Report, Dept. Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg.
39. Dittus, F. W., and Boelter, L. M. K., 1930, Heat Transfer in Automobile Radiators of the Tubular Type. Univ. Calif. Publ. Eng., 2, 443-461.
40. W. H. McAdams, 1942, Heat Transmission. McGraw-Hill, New York, 2nd edition.