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

34th UIT Heat Transfer Conference 2016

Angeli, D.^1 ; Corticelli, M.A.^2 ; Fichera, A.^3 ; Pagano, A.^3

Dipartimento di Scienze e Metodi dell'Ingegneria, Università degli Studi di Modena e Reggio Emilia, Via Amendola 2, Reggio Emilia

42122, Italy^1

Dipartimento di Ingegneria Enzo Ferrari, Università degli Studi di Modena e Reggio Emilia, Via Vivarelli 10, Modena

41125, Italy^2

Dipartimento di Ingegneria Elettrica, Elettronica e Informatica, Università degli Studi di Catania, Viale Andrea Doria 6, Catania

95125, Italy^3

关键词: Cylindrical sources;    Period doubling cascade;    Recurrence analysis;    Specific values;    Square enclosures;    Thermo-fluid dynamics;    Transitional flow;    Visual identification;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/796/1/012005/pdf
DOI  :  10.1088/1742-6596/796/1/012005

来源: IOP

【 摘 要 】

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.