Global optimization, level set dynamics, incomplete sensitivity and regularity control

International Journal of Computational Fluid Dynamics

Volumn 21, Issue 2, 2007, Pages 61-68

  Mohammadi, B ^a  

^a UNIVERSITÉ DE MONTPELLIER   (France)

Author keywords

Aerodynamic shape optimization; Incomplete sensitivity; Level set method; Supersonic flow

Indexed keywords

EID: 34547577544     PISSN: 10618562     EISSN: 10290257     Source Type: Journal    
DOI: 10.1080/10618560701455855     Document Type: Article

References (28)

1. Allaire, G., Jouve, F. and Toader, A.M., A. level-set method for shape optimization. CR. Acad. Sci. Paris, Ser. I, 2002, 334, 1125-1130.
2. Anderson, D.M., McFadden, G.B. and Wheeler, A., Diffuse-interface methods in fluid mechanics. Annu. Rev Fluid Mech., 1998, 30, 139-165.
3. Angot, P., Bruneau, C.H. and Frabrie, P., A penalization method to take into account obstacles in viscous flows. Numerische Mathematik., 1999, 81, 497-520.
4. Dervieux, A. and Thomasset, F., A Finite element method for the simulation of Rayleigh - Taylor instability. Lect. Notes Math., 1979, 771, 145-159.
5. Dervieux, A. and Thomasset, F., Multifuid incompressible fows by a finite element method. Lect. Notes Phys., 1981, 11, 158-163.
6. Donea, J., An ALE finite element method for transient fluid-structure interactions. Comput. Meth. App. Mech. Eng. Numer., 1982, 33, 689-723.
7. Garreau, S., Guillaume, Ph. and Masmoudi, M., The topological asymptotic for PDE systems: the elasticity. SIAM J. Control Optim., 2001, 39/6, 1756-1778.
8. Glowinski, R., Pan, T.W. and Periaux, J., A fictitious domain method for external incompressible viscous flows modeled by Navier-Stokes equations. Comput. Meth. Appl. Mech. Eng., 1994, 112, 133-148.
9. Griewank, A., Computational Differentiation, 2001 (Springer: New York).
10. Hascoet, L. and Pascual, V., TAPENADE 2.1 user's guide, INRIA RT-300 2004.
11. Iaccarino, G. and Mittal, R., Immersed boundary method. Annu. Rev. Fluid Mech., 2005, 37, 239-261.
12. Ivorra, B., Semi-deterministic global optimization. PhD, University of Montpellier, 2006.
13. Ivorra, B., Hertzog, D., Mohammadi, B. and Santiago, J., Global optimization for the design of fast microfluidic protein folding devices. Int. J. Num. Meth. Engineering, 2006, 26, 2220-2226.
14. Kim, J., Kim, D. and Choi, H., An immersed-boundary finite-volume method for simulations of flow in complex geometries. J. Comput. Phys., 2001, 171, 132-150.
15. Leveque, R.J. and Li, Z., The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Num. Anal., 1994, 31, 1001-1025.
16. Mohammadi, B., Optimization of aerodynamic and acoustic performances of supersonic civil transports. Int. J. Numer. Meth. Heat Fluid Flow, 2004, 14(7).
17. Mohammadi, B. and Pironneau, O., Applied Shape Optimization for Fluids, 2001 (University of Press: Oxford).
18. Mohammadi, B. and Pironneau, O., Shape optimization in fluid mechanics. Annu. Rev. Fluid Mech., 2004a, 36/1, 255-279.
19. Mohammadi, B. and Pironneau, O., Shape optimization in fluid mechanics. Annu. Rev Fluid Mech., 2004b, 36/1.
20. Mohammadi, B. and Saiac, J.H., Pratique de la Simulation numérique, 2003 (Dunod: Paris).
21. Osher, S. and Sethian, J., Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., 1988, 79(1), 12-49.
22. Peskin, CS., The fluid dynamics of heart valves: experimental, theoretical and computational methods. Annu. Rev. Fluid Mech, 1981, 14, 235-259.
23. Roe, P.L., Approximate Riemann solvers, parameters vectors and difference schemes. J. Comput. Phys., 1981, 43, 357-372.
24. Sethian, J.A., Fast Marching Methods and Level Set Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision and Materials Sciences, 1999 (University Press: Cambridge).
25. Van Albada, G.D. and Van Leer, B., Flux vector splitting and Runge Kutta methods for the Euler equations. ICASE, 1984, 84/27.
26. Vazquez, M., Dervieux, A. and Kooobus, B., Multilevel optimization of a supersonic aircraft. Finite Element in Analysis and Design, 2004, 40/43, 2101-2124.
27. Veroy, K. and Patera, A., Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basis a posteriori error bounds. Int. J. Numer. Meth. Fluids, 2005, 47/2, 773-788.
28. Verzicco, R., Fatica, M., Iaccarino, G., Moin, P. and Khalighi, B., Large eddy simulation of a road-vehicle with drag reduction devices. AIAA J., 2001, 40, 2447-2455.