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