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Shape optimization for the generalized Graetz problem

De Gournay, Frédéric and Fehrenbach, Jérôme and Plouraboué, Franck Shape optimization for the generalized Graetz problem. (2014) Structural and Multidisciplinary Optimization. ISSN 1615-147X

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Official URL: http://dx.doi.org/10.1007/s00158-013-1032-4


We apply shape optimization tools to the generalized Graetz problem which is a convection-diffusion equation. The problem boils down to the optimization of generalized eigen values on a two phases domain. Shape sensitivity analysis is performed with respect to the evolution of the interface between the fluid and solid phase. In particular physical settings, counterexamples where there is no optimal domains are exhibited. Numerical examples of optimal domains with different physical parameters and constraints are presented. Two different numerical methods (level-set and mesh-morphing) are show-cased and compared.

Item Type:Article
Additional Information:Thanks to Springer-Verlag editor. The definitive version is available at http://link.springer.com/article/10.1007/s00158-013-1032-4
HAL Id:hal-00947878
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:17 Feb 2014 13:54

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