A general continuous sensitivity equation formulation for the k - ∈ model of turbulence

15th AIAA Computational Fluid Dynamics Conference

Volumn , Issue , 2001, Pages

  Turgeon, E ^a   Pelletier, D ^a   Borggaard, J ^b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35148818465     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (30)

1. Turgeon, E., Pelletier, D., and Borggaard, J., A Continuous Sensitivity Equation Approach to Optimal Design in Mixed Convection," 33rd AIAA Thermophysics Conference, Norfolk, VA, Jun.-Jul. 1999, AIAA Paper 99-3625.
2. th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 2000, AIAA Paper 2000-0563.
3. Turgeon, E., Pelletier, D., and Borggaard, J., "A General Purpose Sensitivity Equation Formulation for Complex Flows," Proceedings of the 8th Annual Conference of the Computational Fluid Dynamics Society of Canada, Vol. 2, June 11-13, 2000 / Montreal, Canada, pp. 697-704.
4. Turgeon, E., Pelletier, D., and Borggaard, J., "A General Continuous Sensitivity Equation Formulation for Complex Flows," 8th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, Sep. 2000, AIAA Paper 2000-4732.
5. th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, Sep. 2000, AIAA Paper 2000-4821.
6. Turgeon, E., Pelletier, D., and Borggaard, J., "Sensitivity and Uncertainty Analysis for Variable Property Flows," 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 2001, AIAA Paper 2001-0139.
7. Godfrey, A. G. and Cliff, E. M., "Sensitivity Equations for Turbulent Flows," 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 2001, AIAA Paper 2001-1060.
8. Launder, B. E. and Spalding, J., The Numerical Computation of Turbulent Flows, Computer Methods in Applied Mechanics and Engineering, 1974, pp. 269-289.
9. Ilinca, F., Pelletier, D., and Garon, A., An adaptive finite element method for a two-equation turbulence model in wall-bounded flows, International Journal for Numerical Methods in Fluids, Vol. 24, 1997, pp. 101-120.
10. Ilinca, F., Methodes d'elements finis adaptatives pour les ecoulements turbulents, Ph.D. thesis, Ecole Polytechnique de Montreal, 1996.
11. Ilinca, F. and Pelletier, D., Positivity Preservation and Adaptive Solution for the k - e Model of Turbulence, AIAA Journal, Vol. 36, No. 1, 1998, pp. 44-51.
12. Chabard, J. P., Projet N3S de mecanique des fluids- Manuel theorique de la version 3," Tech. Rep. EDF HE-41/91.30B, Electricite de France, 1991.
13. Ignat, L., Pelletier, D., and Ilinca, F., Adaptive Computation of Turbulent Forced Convection," Numerical Heat Transfer, Part A, Vol. 34, 1998, pp. 847-871.
14. Godfrey, A. G. and Cliff, E. M., "Direct Calculation of Aerodynamic Force Derivatives: A Sensitivity-Equation Approach," 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 1998, AIAA Paper 98-0393.
15. Hughes, T. J. R., Franca, L. P., and Hulbert, G. M., A New Finite Element Formulation for Computational Fluid Dynamics: VIII. The Galerkin/Least-Squares Method for Advective-Diffusive Equations, Computer Methods in Applied Mechanics and Engineering, Vol. 73, 1989, pp. 173-189.
16. Pranca, L. P. and Frey, S. L., Stabilized Finite Element Methods: II. The Incompressible Navier-Stokes Equations, Computer Methods in Applied Mechanics and Engineering, Vol. 99, 1992, pp. 209-233.
17. Turgeon, E., Application d'une methode d'elements finis adaptative a des ecoulements axisymetriques, Master's thesis, Ecole Polytechnique de Montreal, 1997.
18. Peraire, J., Vahdati, M., Morgan, K., and Ziekiewicz, O., Adaptive Remeshing for Compressible Flow Computations, Journal of Computational Physics, Vol. 72, No. 2, 1987, pp. 449-466.
19. Pelletier, D. and Ilinca, F., Adaptive Remeshing for the k - e Model of Turbulence, AIAA Journal, Vol. 35, No. 4, 1997, pp. 640-646.
20. Zienkiewicz, O. C. and Zhu, J. Z., The Superconvergent Patch Recovery and a Posteriori Error Estimates. Part 1: The Recovery Technique, International Journal for Numerical Methods in Engineering, Vol. 33, 1992, pp. 1331-1364.
21. Zienkiewicz, O. C. and Zhu, J. Z., The Superconvergent Patch Recovery and a Posteriori Error Estimates. Part 2: Error Estimates and Adaptivity, International Journal for Numerical Methods in Engineering, Vol. 33, 1992, pp. 1365-1382.
22. Ilmca, F., Pelletier, D., and Arnoux-Guisse, F., An Adaptive Finite Element Scheme for Turbulent Free Shear Flows, International Journal for CFD, Vol. 8, 1997, pp. 171-188.
23. Ilinca, F. and Pelletier, D., "A Unified Approach for Adaptive Solutions of Compressible and Incompressible Flows," 35th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 1997, AIAA Paper 97-0330.
24. th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 1998, AIAA Paper 98-0908.
25. Roache, P. J., Verification and Validation in Computational Science and Engineering, Hermosa publishers, Albuquerque, NM, 1998.
26. Lacasse, D., Turgeon, E., and Pelletier, D., "On the Judicious Use of the k-e Model, Wall Functions and Adaptivity," 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 2001, AIAA Paper 2001-0882.
27. Schlichting, H., Boundary-Layer Theory, McGraw-Hill, 7th ed., 1979. 28White, F. M., Viscous Flow, McGraw-Hill, 1974.
28. White, F. M., Viscous Flow, McGraw-Hill, 1974.
29. Schultz-Grunow, F., "New Factional Resistance Law for Smooth Plates," 1941, NACA TM 986.
30. Turgeon, E., Pelletier, D., and Borggaard, J., Application of a Sensitivity Equation Method to the k - e Model of Turbulence," 15th AIAA Computational Fluid Dynamics Conference, Anaheim, CA, Jun. 2001, AIAA Paper 2001-2534.16