Recurrence Analysis (RA) is a promising and flexible tool to identify the behaviour of nonlinear dynamical systems. The potentialities of such a technique are explored in the present work, for the study of transitions to chaos of buoyant flow in enclosures. The case of a hot cylindrical source centred in a square enclosure, is considered here, for which an extensive database of results has been collected in recent years. For a specific value of the system aspect ratio, a sequence of period doublings has been identified, leading to the onset of chaos. RA is applied here to analyse the different flow regimes along the route to chaos. The qualitative visual identification of patterns and the statistics given by the quantitative analysis suggest that this kind of tool is well suited to the study of transitional flows in thermo-fluid dynamics.

Application of Recurrence Analysis to the period doubling cascade of a confined buoyant flow / Angeli, Diego; Corticelli, Mauro Alessandro; Fichera, A.; Pagano, A.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 796:1(2017), pp. 1-10. (Intervento presentato al convegno 34th UIT Heat Transfer Conference 2016 tenutosi a Scientific and Technological Center of The University of Ferrara, ita nel 2016) [10.1088/1742-6596/796/1/012005].

Application of Recurrence Analysis to the period doubling cascade of a confined buoyant flow

ANGELI, Diego;CORTICELLI, Mauro Alessandro;
2017

Abstract

Recurrence Analysis (RA) is a promising and flexible tool to identify the behaviour of nonlinear dynamical systems. The potentialities of such a technique are explored in the present work, for the study of transitions to chaos of buoyant flow in enclosures. The case of a hot cylindrical source centred in a square enclosure, is considered here, for which an extensive database of results has been collected in recent years. For a specific value of the system aspect ratio, a sequence of period doublings has been identified, leading to the onset of chaos. RA is applied here to analyse the different flow regimes along the route to chaos. The qualitative visual identification of patterns and the statistics given by the quantitative analysis suggest that this kind of tool is well suited to the study of transitional flows in thermo-fluid dynamics.
2017
34th UIT Heat Transfer Conference 2016
Scientific and Technological Center of The University of Ferrara, ita
2016
796
1
10
Angeli, Diego; Corticelli, Mauro Alessandro; Fichera, A.; Pagano, A.
Application of Recurrence Analysis to the period doubling cascade of a confined buoyant flow / Angeli, Diego; Corticelli, Mauro Alessandro; Fichera, A.; Pagano, A.. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 796:1(2017), pp. 1-10. (Intervento presentato al convegno 34th UIT Heat Transfer Conference 2016 tenutosi a Scientific and Technological Center of The University of Ferrara, ita nel 2016) [10.1088/1742-6596/796/1/012005].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1141942
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