Discrete and continuous adjoint approaches to estimate boundary heat fluxes in falling films

Optimization Methods and Software

Volumn 26, Issue 1, 2011, Pages 105-125

  Bücker, H Martin ^a   Willkomm, Johannes ^a   Groß, Sven ^b   Fortmeier, Oliver ^a  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

adjoint equation; ADOL C; automatic differentiation; DROPS; inverse problem; PDE constrained optimization

Indexed keywords

ADJOINT APPROACH; ADJOINT CODES; ADJOINT EQUATIONS; ADJOINT PROBLEMS; ADOL-C; AUTOMATIC DIFFERENTIATIONS; BOUNDARY HEAT FLUX; FALLING FILM; HEAT CONDUCTION EQUATIONS; NUMERICAL EXPERIMENTS; PDE-CONSTRAINED OPTIMIZATION; REVERSE MODE; THIN METAL FOIL;

AIRCRAFT ENGINES; DROPS; HEAT FLUX; INVERSE PROBLEMS; METAL FOIL;

CONSTRAINED OPTIMIZATION;

EID: 77957297940     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780903341711     Document Type: Article

References (16)

1. Akanksha, K.K. Panta, and V. Srivastava, Modeling of sulphonation of tridecylbenzene in a falling film reactor, Math. Comput. Model. 46(9-10) 2007, pp. 1332-1344.
2. H.W. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems, Kluwer Academic Publishers, Dordrecht, 2000.
3. M. Giles, Adjoint methods for aeronautical design, Proceedings of the ECCOMAS CFD Conference, Swansea, UK, September 2001.
4. M. Giles and N. Pierce, An introduction to the adjoint approach to design, Eur. J. Flow Turbul. Combust. 65 (2000), pp. 393-415.
5. R. Griesse and A. Walther, Evaluating gradients in optimal control: continous adjoints versus automatic differentiation, J. Optim. Theory Appl. 122(1) (2004), pp. 63-86.
6. A. Griewank and A.Walther, Algorithm 799: revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differentiation, ACM Trans. Math. Softw. 26(1) (2000), pp. 19-45.
7. A. Griewank and A.Walther, Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, 2nd ed., SIAM, Philadelphia, PA, 2008, Other Titles in Appl. Math. 105.
8. A. Griewank, D. Juedes, and J. Utke, ADOL-C, a package for the automatic differentiation of algorithms written in C/C++, ACM Trans. Math. Softw. 22(2) (1996), pp. 131-167.
9. S. Groß, M. Soemers, A. Mhamdi, F. Al-Sibai, A. Reusken,W. Marquardt, and U. Renz, Identification of boundary heat fluxes in a falling film experiment using high resolution temperature measurements, Int. J. Heat Mass Transf. 48 (2005), pp. 5549-5562.
10. S. Groß, V. Reichelt, and A. Reusken. A finite element based level set method for two-phase incompressible flows. Comp. Vis. Sci. 9 (2006), pp. 239-257.
11. M. Hinze and T. Slawig. Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier-Stokes equations. Optim. Methods Softw. 18 (2003), pp. 299-315.
12. M. Karimi, A. Jahanmiri, and M. Azarmi, Inferential cascade control of multi-effect falling-film evaporator, Food Control 18(9) (2007), pp. 1036-1042.
13. L.B. Rall, Automatic Differentiation: Techniques and Applications, Lecture Notes in Computer Science, Vol.120, Springer Verlag, Berlin, 1981.
14. Y. Saad, Iterative Methods for Sparse Linear Systems, SIAM, Philadelphia, PA, 2003.
15. F. Zhang, Y.-T. Wu, J. Geng, and Z.-B. Zhang, An investigation of falling liquid films on a vertical heated/cooled plate, Int. J. Multiph. Flow 34(1) (2008), pp. 13-28.
16. F. Zhang, X. Zhao, J. Geng,Y.-T.Wu, and Z. Zhang, A new insight into Marangoni effect in non-isothermal falling liquid films, Exp. Therm. Fluid Sci. 31(4) (2007), pp. 361-365.