Sensitivities, adjoints and flow optimization

International Journal for Numerical Methods in Fluids

Volumn 31, Issue 1, 1999, Pages 53-78

  Gunzburger, Max D ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Adjoint based iterative algorithms; Flow sensitivity; Reimann problem

Indexed keywords

FLOW STABILITY; OPTIMIZATION;

FLOW STABILITY; OPTIMIZATION;

EID: 0032693532     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19990915)31:1<53::aid-fld955>3.0.co;2-z     Document Type: Article

References (16)

1. R Joslin, M. Gunzburger, R. Nicolaides, G. Erlebacher and M. Hussaini, 'An automated methodology for optimal flow control with an application to transition delay', AIAA J., 35, 816-824 (1997).
2. C. Streett and M. Macaraeg, 'Spectral multi-domain methods for large-scale fluid dynamics simulations', Appl. Numer. Math., 6, 123-140 (1989).
3. L. Hou and Y. Yan, 'Dynamics and approximations of a velocity tracking problem for incompressible flows with piecewise distributed controls', SIAM J. Cont. Optim., 35, 1847-1885 (1997).
4. M. Gunzburger and S. Manservisi, 'Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control', to appear in SIAM J. Numer. Anal.
5. J. Appel, 'Sensitivity calculations for conservation laws with application to discontinuous fluid flows', Ph.D. Thesis, Virginia Technical, Blacksburg, 1997.
6. J. Appel. A. Godfrey, M. Gunzburger and E. Cliff, 'Optimization-based design in high-speed flows', CFD for Design and Optimization, vol. FED-232, ASME, New York, 1995, pp. 61-68.
7. J. Borggaard, 'The sensitivity equation method for optimal design', Ph.D. Thesis, Virginia Technical, Blacksburg, 1994.
8. J. Borggaard, J. Burns, E. Cliff and M. Gunzburger, 'Sensitivity calculations of a 2D, inviscid, supersonic forebody problem', in H.T. Banks, K. Ito and R. Fabiano (eds.), Identification and Control of Systems Governed by Partial Differential Equations, SIAM, Philadelphia, 1993.
9. D. Gay, 'Algorithm 611 subroutines for unconstrained minimization using a model/trust region approach', ACM Trans. Math. Soft., 9, 503-524 (1983).
10. M. Applebaum and R. Walters, 'UCFD, an unstructured computational fluid dynamics package', Technical Report, Dept. of Aerospace Engng., Virginia Tech., Blacksburg, 1995.
11. J. Burkardt and M. Gunzburger, 'Sensitivity discrepancy for geometric parameters', CFD for Design and Optmization, vol. FED-232, ASME, New York, 1995, pp. 9-15.
12. J. Burkardt, M. Gunzburger and J. Peterson, 'Discretization of cost and sensitivities in shape optimization', in Computation and Control IV, Birkhaüser, Boston, 1995, pp. 43-56.
13. C. Bischof, A. Carle, P. Khadermi, A. Mauer and P. Hovland, 'ADIFOR 2.0 users guide', Technical Report CRPC-95516-S, Center for Research on Parallel Computation, 1995.
14. C. Bischof, P. Khademi, A. Mauer and A. Carle, 'Adifor 2.0: automatic differentiation of Fortran 77 programs', Comp. Sci. Eng., 3, 18-32 (1996).
15. C. Bischof, W. Jones, A. Mauer and J. Samareh, 'Application of automatic differentiation to 3D volume grid generation software', CFD for Design and Optimization, vol. FED-232, ASME, New York, 1995, pp. 17-22.
16. R. LeVeque, Numerical Methods for Conservation Laws, Birkhaüser, Basel, 1991.