Methodology for turbulence model validation: Application to hypersonic flows

Journal of Spacecraft and Rockets

Volumn 40, Issue 3, 2003, Pages 313-325

  Roy, Christopher J ^a   Blottner, Frederick G ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; MATHEMATICAL MODELS; SENSITIVITY ANALYSIS; TRANSITION FLOW; TURBULENCE;

AEROTHERMODYNAMICS; TURBULENCE MODEL;

HYPERSONIC AERODYNAMICS;

EID: 0037485098     PISSN: 00224650     EISSN: 15336794     Source Type: Journal    
DOI: 10.2514/2.3966     Document Type: Article

References (52)

1. Van Driest, E. R., "Investigation of Laminar Boundary Layer in Compressible Fluids Using the Crocco Method," NACA TN-2597, Jan. 1952.
2. Van Driest, E. R., "Problem of Aerodynamic Heating," Aeronautical Engineering Review, Vol. 15, No. 10, 1956, pp. 26-41.
3. Van Driest, E. R., "Turbulent Boundary Layer on a Cone in a Supersonic Flow at Zero Angle of Attack," Journal of the Aeronautical Sciences, Vol. 19, No. 1, 1952, pp. 55-57.
4. White, F. M., Viscous Fluid Flow, 1st ed., McGraw-Hill, New York, 1974, pp. 647-648.
5. Roy, C. J., and Blottner, F. G., "Further Assessment of One- and Two-Equation Turbulence Models for Hypersonic Transitional Flows," AIAA Paper 2001-0210, Jan. 2001.
6. Marvin, J. G., "Perspective on Computational Fluid Dynamics Validation," AIAA Journal, Vol. 33, No. 10, 1995, pp. 1778-1787.
7. Marvin, J. G., and Huang, G. P., "Turbulence Modeling-Progress and Future Outlook," Computational Fluid Dynamics Review 1998, Vol. 2 edited by M. Hafez and K. Oshima, World Scientific, Singapore, Republic of Singapore 1998, pp. 891-906.
8. Roy, C. J., and Blottner, F. G., "Assessment of One- and Two-Equation Turbulence Models for Hypersonic Transitional Flows," AIAA Paper 2000-0132, Jan. 2000.
9. Roy, C. J., and Blottner, F. G., "Assessment of One- and Two-Equation Turbulence Models for Hypersonic Transitional Flows," Journal of Spacecraft and Rockets, Vol. 38, No. 5, 2001, pp. 699-710.
10. Wong, C. C., Blottner, F. G., Payne, J. L., and Soetrisno, M., "Implementation of a Parallel Algorithm for Thermo-Chemical Nonequilibrium Flow Solutions," AIAA Paper 95-0152, Jan. 1995.
11. Wong, C. C., Soetrisno, M., Blottner, F. G., Imlay, S. T., and Payne, J. L., "PINCA: A Scalable Parallel Program for Compressible Gas Dynamics with Nonequilibrium Chemistry," Sandia National Lab., Rept. SAND 94-2436, Albuquerque, NM, April 1995.
12. Spalart, P.R., and Allmaras, S. R., "A One-Equation Turbulence Model for Aerodynamic Flows," AIAA Paper 92-0439, Jan. 1992.
13. Spalart, P. R., and Allmaras, S. R., "A One-Equation Turbulence Model for Aerodynamic Flows," La Recherche Aerospatiale, No. 1, 1994, pp. 5-21.
14. Wilcox, D. C., Turbulence Modeling for CFD, 2nd ed., DCW Industries, La Canada, CA, 1998, pp. 119-122.
15. Nagano Y., and Hishida, M., "Improved Form of the k-ε Model for Wall Turbulent Shear Flows," Journal of Fluids Engineering, Vol. 109, No. 2, 1987, pp. 156-160.
16. Menter, F. R., "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications," AIAA Journal, Vol. 32, No. 8, 1994, pp. 1598-1605.
17. Wilcox, D. C., "Reassessment of the Scale Determining Equation for Advanced Turbulence Models," AIAA Journal, Vol. 26, No. 11, 1988, pp. 1299-1310.
18. Huang, P. G., Bradshaw, P., and Coakley, T. J., "Turbulence Models for Compressible Boundary Layers," AIAA Journal, Vol. 32, No. 4, 1994, pp. 735-740.
19. Kral, L. D., Mani, M., and Ladd, J. A., "Application of Turbulence Models for Aerodynamic and Propulsion Flowfields," AIAA Journal, Vol. 34, No. 11, 1996, pp. 2291-2298.
20. Bertin, J. J., Martellucci, A., and Neumann, R. D., "Developing a Data Base for the Calibration and Validation of Hypersonic CFD Codes-Sharp Cones," AIAA Paper 93-3044, July 1993.
21. Chien, K.-Y., "Hypersonic, Turbulent Skin-Friction and Heat-Transfer Measurements on a Sharp Cone," AIAA Journal, Vol. 12, No. 11, 1974, pp. 1522-1526.
22. Desideri, J.-A., Glowinski, R., and Periaux, J., (eds.), Hypersonic Flows for Reentry Problems, Vols. 1 and 2 Springer-Verlag, Berlin, 1991, pp. 214, 215.
23. Lin, L. B., and Harvey, J. K., "Experimental Study of the Hypersonic Turbulent Boundary Layer on a Cold Slender Cone," Journal of Thermophysics and Heat Transfer, Vol. 3, No. 2, pp. 105-111.
24. Hillier, R., Kirk, D. C., Sell, M., and Soltani, S., "Studies of Hypersonic Viscous Flows," Theoretical and Experimental Methods in Hypersonic Flows, CP 514, AGARD, 1992, pp. 32-1-32-11.
25. Chen, F.-J., Malik, M. R., and Beckwith, I. E., "Boundary-Layer Transition on a Cone and Flat Plate at Mach 3.5," AIAA Journal, Vol. 27, No. 6, 1989, pp. 687-693.
26. Kimmel, R. L., "Experimental Transition Zone Lengths in Pressure Gradient in Hypersonic Flow," Transitional and Turbulent Compressible Flows 1993, edited by L. D. Kral and T. A. Zang, Fluid Engineering Div., Vol. 151, American Society of Mechanical Engineers, New York, 1993, pp. 117-127.
27. Kimmel, R. L., "The Effects of Pressure Gradients on Transition Zone Length in Hypersonic Boundary Layers," Journal of Fluids Engineering, Vol. 119, No. 1, 1997, pp. 36-41.
28. Zoby, E. V., and Sullivan, E. M., "Correlation of Free-Flight Turbulent Heat-Transfer Data from Axisymmetric Bodies with Compressible Flat-Plate Relationships," NASA TN D-3802, Jan. 1967.
29. Zoby, E. V., and Graves, R. A., "Comparison of Turbulent Prediction Methods with Ground- and Flight-Test Heating Data," AIAA Journal, Vol. 15, No. 7, 1977, pp. 901, 902.
30. Moore, J. G., and Moore, J., "Realizeability in Two-Equation Turbulence Models," AIAA Paper 99-3779, June 1999.
31. Roache, P. J., "Ch. 3: A Methodology for Accuracy Verification of Codes: The Method of Manufactured Solutions," Verification and Validation in Computational Science and Engineering, Hermosa, Albuquerque, NM, 1998, pp. 65-90.
32. Salari, K., and Knupp, P., "Code Verification by the Method of Manufactured Solutions," Sandia National Labs., Rept. SAND2000-1444, Albuquerque, NM, June 2000.
33. Roache, P. J., "Perspective: A Method for Uniform Reporting of Grid Refinement Studies," Journal of Fluids Engineering, Vol. 116, No. 3, 1994, pp. 405-413.
34. Carpenter, M. H., and Casper, J. H., "Accuracy of Shock Capturing in Two Spatial Dimensions," AIAA Journal, Vol. 37, No. 9, 1999, pp. 1072-1079.
35. Roy, C. J., "Grid Convergence Error Analysis for Mixed-Order Numerical Schemes," AIAA Paper 2001-2606, June 2001.
36. Oberkampf, W. L., Aeschliman, D. P., Henfling, J. F., and Larson, D. E., "Surface Pressure Measurements for CFD Code Validation in Hypersonic Flow," AIAA Paper 95-2273, June 1995.
37. Harten, A., "On a Class of High Resolution Total-Variation-Stable Schemes," SIAM Journal on Numerical Analysis, Vol. 21, No. 1, 1984, pp. 1-23.
38. Yee, H. C., "Implicit and Symmetric Shock Capturing Schemes," NASA TM-89464, May 1987.
39. Roe, P. L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," Journal of Computational Physics, Vol. 43, No. 2, 1981, pp. 357-372.
40. Yoon, S., and Jameson, A., "An LU-SSOR Scheme for the Euler and Navier-Stokes Equations," AIAA Paper 87-0600, Jan. 1987.
41. Yoon, S., and Kwak, D., "Artificial Dissipation Models for Hypersonic External Flow," AIAA Paper 88-3708, July 1988.
42. Peery, K. M., and Imlay. S. T., "An Efficient Implicit Method for Solving Viscous Multi-Stream Nozzle/Afterbody Flow Fields," AIAA Paper 86-1380, June 1986.
43. Payne, J. L., and Hassan, B., "Massively Parallel Computational Fluid Dynamics Calculations for Aerodynamics and Aerothermodynamics Applications," Proceedings of the 1998 High Performance Computing and Communications Program/Computational AeroSciences Workshop, NASA CP-1999-208757, Jan. 1999, pp. 111-116.
44. Hassan, B., Kuntz, D. W., and Potter, D. L., "Coupled Fluid/Thermal Prediction of Ablating Hypersonic Vehicles," AIAA Paper 98-0168, Jan. 1998.
45. Kuntz, D. W., Hassan, B., and Potter, D. L., "Predictions of Ablating Hypersonic Vehicles Using an Iterative Coupled Fluid/Thermal Approach," Journal of Thermophysics and Heat Transfer, Vol. 15, No. 2, 2001, pp. 129-139.
46. Roy, C. J., McWherter-Payne, M. A., and Oberkampf, W. L., "Verification and Validation for Laminar Hypersonic Flowfields," AIAA Paper 2000-2550, June 2000.
47. U.S. Standard Atmosphere, National Oceanic and Atmospheric Administration, NASA, and U.S. Airforce, NOAA-S-T-76-1562, Washington, DC, Oct. 1976.
48. 2O, and Air," Transactions of the American Society of Mechanical Engineers, July 1951, pp. 589-596.
49. Craft, T. J., Launder, B. E., and Suga, K., "Prediction of Turbulent Transitional Phenomena with a Nonlinear Eddy-Viscosity Model," International Journal of Heat and Fluid Flow, Vol. 18, No. 1, 1997, pp. 15-28.
50. Cebici, T., and Bradshaw, P., "Uncoupled Turbulent Boundary Layers," Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlag, New York, 1984, pp. 173.
51. Reed, H. L., Kimmel, R., Schneider, S., and Arnal, D., "Drag Prediction and Transition in Hypersonic Flow," AIAA Paper 97-1818, June 1997.
52. Squire, L. C., "The Accuracy of Flat Plate, Turbulent Skin Friction at Supersonic Speeds," Aeronautical Journal, Vol. 104, No. 1036, 2000, pp. 257-263.