Shape sensitivity and design for fluids with shocks

International Journal of Computational Fluid Dynamics

Volumn 17, Issue 4, 2003, Pages 235-242

  Pironneau, Olivier ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Nozzle flow; Optimal shape design; Partial differential equations; Sensitivity; Shallow water equations; Transonic equation

Indexed keywords

NOZZLE FLOW;

NOZZLES; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

COMPUTATIONAL FLUID DYNAMICS;

EID: 0041657821     PISSN: 10618562     EISSN: None     Source Type: Journal    
DOI: 10.1080/1061856031000113617     Document Type: Conference Paper

References (15)

1. Alekseev, A. and Navon, I. (2002) "On adjoint variables for discontinuous flow", http://www.math.fsu.edu/aluffi/archive/paper185.pdf.
2. Bardos, C. and Pironneau, O. (2002a) Sensitivities for Euler flows, accepted in C.R. Acad. Sci., Paris, Ser I.
3. Bardos, C. and Pironneau, O. (2002b) "Derivatives and control in the presence of shocks", Int J. Comput. Fluid Dyn., submitted for publication.
4. Bardos, C. and Pironneau, O. (2003) In: Periaux, J., ed, Sensitivity of Stationary Shocks, Special volume dedicated to P. Perrier, euro-days, to appear.
5. Bernardi, C. and Pironneau, O. (2002) "Sensitivities to discontinuities in Darcy's law", C.R. Acad. Sci., Paris, Ser I 335, 1-6.
6. Di Cesare, N. and Pironneau, O. (2000) "Shock sensitivity analysis", Comput. Fluid Dyn. J. 9(2), 1-15.
7. Giles, M.A. and Pierce, N.A. (2001) "Analytic adjoint solutions for the quasi-one-dimensional Euler equations", J. Fluid Mech. 426, 327-345.
8. Glowinski, R. (1984) Numerical Methods for Nonlinear Variational Problems (Springer-Verlag, New York).
9. Godlewski, E., Olazabal, M. and Raviart, P.A. (1998) "On the linearization of hyperbolic systems of conservation laws. Application to stability", In: Gauthier-Villars, ed, Équations aux Dérivées Partielles et Applications (Sci. Méd. Elsevier, Paris), pp 549-570.
10. Homescu, C. and Navon, I. (2003) "Numerical and theoretical considerations for sensitivity calculation of discontinuous flow", Syst. Control Lett. 48, 253-260.
11. Landau, L. and Lifschitz, F. (1956) Fluid Mechanics (MIR Editions, Moscow).
12. Majda, A. (1983) The Stability of Multi-dimensional Shock Fronts, Memoire of the A.M.S. 281 (American Math. Soc., Providence).
13. Nečas, J. (1989) Écoulements de Fluide: Compacité par Entropie (Masson, Paris).
14. Pironneau, O. (1983) Optimal Shape Design for Elliptic Systems Springer Lecture Notes in Computational Physics (Springer, Heidelberg).
15. Pironneau, O. (2002) Control of Transonic Shock Positions. ESAIM: Control, Optimisation and Calculus of Variations, to appear.