Shape optimization in computational fluid dynamics

Revue Europeenne des Elements

Volumn 5, Issue 5-6, 1996, Pages 569-594

  Dinh, Quang Vinh ^a   Rogé, Gilbert ^a   Sevin, Cyrille ^a   Stoufflet, Bruno ^a  

^a DASSAULT AVIATION   (France)

Author keywords

Automatic differentiation; Computational Fluid dynamics; Optimal control theory; Shape optimization

Indexed keywords

CONSTRAINED OPTIMIZATION; SHAPE OPTIMIZATION;

AUTOMATIC DIFFERENTIATIONS; CONSTRAINED OPTIMI-ZATION PROBLEMS; DISCRETE MAXIMUM PRINCIPLES; GRADIENT BASED ALGORITHM; NUMERICAL APPROXIMATIONS; OPTIMAL CONTROL THEORY; PARTIAL DIFFERENTIAL EQUATIONS (PDE); UNSTRUCTURED MESHES;

COMPUTATIONAL FLUID DYNAMICS;

EID: 31344455722     PISSN: 12506559     EISSN: None     Source Type: Journal    
DOI: 10.1080/12506559.1996.10511238     Document Type: Article

References (19)

1. T.J. BARTH and S.W. LINTON. - An Unstructured Mesh Newton Solver for Compressible Fluid Flow and Its Parallel Implementation, AIAA paper 95-0221, 33rd Aerospace Sciences Meeting and Exhibit, Reno, 1995.
2. B. BERDE and M. BOREL. - Moment Approach for the Navier-Stokes Equations, AIAA paper 95-1663, 12th Computational Fluid Dynamics, June 19-22, 1995.
3. A. DERVIEUX, L. FEZOUI, M.P. LECLERCQ and B. STOUFFLET. - A general upwind formulation for compressible flows on multi-element meshes, in Numerical Methods for Fluid Dynamics 4, M.J. Baines and K.W. Morton eds., Oxford Science Publications, 1993.
4. J. CEA. - Numerical Methods of Shape Optimal Design, in Optimization of Distributed Parameter Structures (eds. E.J. Haug and J. Cea) Sijthoff and Noordhoff, Alphen aan den Rijn, The Netherlands, 1981.
5. S. CHAMPIER., T. GALLOUET and R. HERBIN. - Convergence of an upstream finite volume scheme on a triangular mesh for a nonlinear hyperbolic equation, preprint.
6. R. STRUIJS, P.L. ROE and H. DECONINCK. - Fluctuation splitting schemes for the 2D Euler Equations, Von Karman Institute LS 1991-01 in CFD, 1991.
7. A. DERVIEUX, J.M. MALE, N. MARCO, J. PERIAUX, B. STOUFFLET and H.Q. CHEN. - Some Recent Advances in Optimal Shape Design for Aeronautical Flows, in Computational Fluid Dynamics '94, J. Wiley, 1994.
8. J. REUTHER and A. JAMESON. - Aerodynamic Shape Optimization of Wing and Wing-Body Configurations Using Control Theory, AIAA paper 95-0123, 33rd Aerospace Sciences Meeting and Exhibit, Reno, 1995.
9. A. JAMESON. - Numerical Solution of the Euler Equations for Compressible Inviscid Fluids, in Numerical Methods for the Euler equations in Fluid Dynamics, ed. by F. Angrand, A. Dervieux, J.A. Desideri and R. Glowinski (SIAM, Philadelphia), 1985.
10. J-L. LIONS. - Contrôle optimal des systèmes gouvernés par des équations aux dérivées partielles, Dunod, Gauthier-Villars, Paris 1968.
11. N. ROSTAING, S. DALMAS and A. GALLIGO. - Automatic Differentiation in Odyssée. Tellus, (45A): 358-368, 1993.
12. J. PERAIRE, J. PEIRO, L. FORMAGGIA, K. MORGAN and O.C. ZIENKIEWICZ. - Finite Element Euler Computations in Three Dimensions, Int. J. Numer. Methods Eng. 26, 2135-2159, 1988.
13. B. PERTHAME, Y. QIU and B. STOUFFLET. - Sur la convergence des schémas fluctuation-splitting pour l'advection et leur utilisation en dynamique des gaz, C.R. Académie des Sciences Paris, t.319, Série I, 283-288, 1994.
14. O. PIRONNEAU. - Optimal Shape Design for Elliptic Systems, Springer-Verlag, New-York, 1984.
15. E. POLAK. - Computational Methods in Optimization: a unified approach. Mathematics in Science and Engineering. Vol. 77, 1971.
16. Q.V. DINH, G. ROGE, C. SEVIN and B. STOUFFLET. - Controle à petit nombre de paramètres en aérodynamique, 32ème colloque d'aérodynamique appliquée, Ecole Centrale de Lyon, 25-27 Mars 1996.
17. F. CHALOT, M. MALLET and M. RAVACHOL. - A Comprehensive Finite Element Navier-Stokes Solver for Low and High-Speed Aircraft Design, AIAA paper 94-0814, 32nd ALAA Aerospace Sciences Meeting and Exhibit, Reno, 1994.
18. B. VAN LEER. - Flux Vector Splitting for the Euler Equations, Lecture Notes in Physics, vol. 170. page 405-512, 1982.
19. Q.V. DINH, B. STOUFFLET and A. VOSSINIS. - ICIAM Conference, Philadelphia, 1993.