Sensitivity analysis for the Navier-Stokes equations with two-equation turbulence models

AIAA Journal

Volumn 39, Issue 5, 2001, Pages 838-845

  Kim, Chang Sung ^a   Kim, Chongam ^a   Rho, Oh Hyun ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; SENSITIVITY ANALYSIS; TURBULENCE; VISCOSITY; VISCOUS FLOW;

TURBULENCE MODELS;

NAVIER STOKES EQUATIONS;

EID: 0342468140     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1387     Document Type: Article

References (23)

1. Eyi, S., and Lee, K. D., "Effect of Sensitivity Calculation on Navier-Stokes Design Optimization," AIAA Paper 94-0060, Jan. 1994.
2. Nielsen, E. J., and Anderson, W. K., "Aerodynamic Design Optimization on Unstructured Meshes Using the Navier-Stokes Equations," AIAA Paper 98-4809, Jan. 1998.
3. Eleshaky, M. E., and Baysal, O., "Aerodynamic Shape Optimization Using Sensitivity Analysis on Viscous Flow Equations," Journal of Fluid Engineering, Vol. 115, No. 3, 1993, pp. 75-84.
4. Ajmani, K., and Taylor, A. C., III, "Discrete Sensitivity Derivatives of the Navier-Stokes Equations with a Parallel Krylov Solver," AIAA Paper 94-0091, Jan. 1994.
5. Sherman, L. L., Taylor, A. C., III, Green, L. L., Newman, P. A., Hou, G. J., and Korivi, V. M., "First- and Second-Order Aerodynamic Sensitivity Derivatives via Automatic Differentiation with Incremental Iterative Methods," AIAA Paper 94-4262, Sept. 1994.
6. Mohammadi, B, "Optimal Shape Design, Reverse Mode of Automatic Differentiation and Turbulence," AIAA Paper 97-0099, Jan. 1997.
7. Jameson, A., Pierce, N. A., and Martinelli, L., "Optimum Aerodynamic Design Using the Navier-Stokes Equations," AIAA Paper 97-0101, Jan. 1997.
8. Soemarwoto, B. I., "The Variational Method for Aerodynamic Optimization Using the Navier-Stokes Equations," NASA CR-97-206277; also Inst. for Computer Applications in Science and Engineering, Rept. 97-71, Dec. 1997.
9. Taylor, A. C., III, and Osolo, A., "Aerodynamic Design Sensitivities by Automatic Differentiation," AIAA Paper 98-2536, June 1998.
10. Hovland, P., Mohammadi, B., and Bischof, C., "Automatic Differentiation and Navier-Stokes Equations," Computational Methods for Optimal Design and Control, edited by J. Borggard, E. Cliff, and S. Schreck, Air Force Office of Scientific Research, Arlington, VA, 1999, pp. 265-284.
11. Kim, H. J., Kim, C. A., Rho, O. H., and Lee, K. D., "Aerodynamic Sensitivity Analysis For Navier-Stokes Equations," AIAA Paper 99-0402, Jan. 1999.
12. Wilcox, D. C., "Reassessment of the Scale-Determining Equation for Advanced Turbulence Models," AIAA Journal, Vol. 26, No. 11, 1988, pp. 1299-1310.
13. Wilcox, D. C., "Simulation of Transition with a Two-Equation Turbulence Model," AIAA Journal, Vol. 32, No. 2, 1994, pp. 247-255.
14. Menter, F. R., "Influence of Freestream Values on the k-ω Turbulence Model Predictions," AIAA Journal, Vol. 30, No. 6, 1992, pp. 1651-1659.
15. Menter, F. R., "Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications," AIAA Journal, Vol. 32, No. 8, 1994, pp. 1598-1605.
16. Steger, J. L., Doughty, F. C., and Beneck, J. A., "A Chimera Grid Scheme," Advances in Grid Generation, edited by K. N. Ghia, Fluids Engineering Div. Vol. 5, American Society of Mechanical Engineers, New York, 1983, pp. 59-69.
17. Kim, C. S., Kim, C. A., and Rho, O. H., "Parallel Computations of High-Lift Airfoil Flows Using Two-Equation Turbulence Models," AIAA Journal, Vol. 38, No. 8, 2000, pp. 1360-1368.
18. Roe, P. L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," Journal of Computational Physics, Vol. 43, 1981, pp. 357-372.
19. Hwang, S. W., "Numerical Analysis of Unsteady Supersonic Flow Over Double Cavity," Ph.D. Dissertation, Dept. of Aerospace Engineering, Seoul National Univ., Seoul, ROK, Feb. 1996.
20. Yoon, S., and Kwak, D., "Three-Dimensional Incompressible Navier-Stokes Solver Using Lower-Upper Symmetric-Gauss-Seidel Algorithm," AIAA Journal, Vol. 29, No. 6, 1991, pp. 874-875.
21. Cook, P. H., McDonald, M. A., and Firmin, M. C. P., "Aerofoil RAE 2822 - Pressure Distributions, and Boundary Layer and Wake Measurements," AGARD AR 138, May 1979, pp. A6-1-A6-77.
22. van den Berg, B., "Boundary Layer Measurements on a Two-Dimensional Wing with Flap," National Aerospace Lab., 79009 U, Amsterdam, Jan. 1979.
23. Braden, J. A., Whipkey, R. R., Jones, G. S., and Lilley, D. E., "Experimental Study of the Separating Confluent Boundary-Layer," NASA CR 3655, 1981.