Several problems in applied sciences and engineering require reduction techniques in order to allow computational tools to be employed in the daily practice, especially in iterative procedures such as optimization or sensitivity analysis. Reduced order methods need to face increasingly complex problems in computational mechanics, especially into a multiphysics setting. Several issues should be faced: stability of the approximation, efficient treatment of nonlinearities, uniqueness or possible bifurcations of the state solutions, proper coupling between fields, as well as offline-online computing, computational savings and certification of errors as measure of accuracy. Moreover, efficient geometrical parametrization techniques should be devised to efficiently face shape optimization problems, as well as shape reconstruction and shape assimilation problems. A related aspect deals with the management of parametrized interfaces in multiphysics problems, such as fluid-structure interaction problems, and also a domain decomposition based approach for complex parametrized networks. We present some illustrative industrial and biomedical problems as examples of recent advances on methodological developments. © The authors

Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives / Salmoiraghi, Filippo; Ballarin, Francesco; Corsi, Giovanni; Mola, Andrea; Tezzele, Marco; Rozza, Gianluigi. - 1:(2016), pp. 1013-1031. (Intervento presentato al convegno VII European Congress on Computational Methods in Applied Sciences and Engineering tenutosi a Crete, Greece nel 5–10 June 2016) [10.7712/100016.1867.8680].

Advances in geometrical parametrization and reduced order models and methods for computational fluid dynamics problems in applied sciences and engineering: overview and perspectives

Salmoiraghi, Filippo;BALLARIN, FRANCESCO;Corsi, Giovanni;Mola, Andrea;Tezzele, Marco;Rozza, Gianluigi
2016-01-01

Abstract

Several problems in applied sciences and engineering require reduction techniques in order to allow computational tools to be employed in the daily practice, especially in iterative procedures such as optimization or sensitivity analysis. Reduced order methods need to face increasingly complex problems in computational mechanics, especially into a multiphysics setting. Several issues should be faced: stability of the approximation, efficient treatment of nonlinearities, uniqueness or possible bifurcations of the state solutions, proper coupling between fields, as well as offline-online computing, computational savings and certification of errors as measure of accuracy. Moreover, efficient geometrical parametrization techniques should be devised to efficiently face shape optimization problems, as well as shape reconstruction and shape assimilation problems. A related aspect deals with the management of parametrized interfaces in multiphysics problems, such as fluid-structure interaction problems, and also a domain decomposition based approach for complex parametrized networks. We present some illustrative industrial and biomedical problems as examples of recent advances on methodological developments. © The authors
2016
Proceedings of the ECCOMAS Congress 2016, 7th European Conference on Computational Methods in Applied Sciences and Engineering, Crete Island,Greece, June 5-10, 2016
1
1013
1031
978-618-82844-0-1
https://www.eccomasproceedia.org/conferences/eccomas-congresses/eccomas-congress-2016/1867
Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece
Salmoiraghi, Filippo; Ballarin, Francesco; Corsi, Giovanni; Mola, Andrea; Tezzele, Marco; Rozza, Gianluigi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/33329
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