Data-driven modeling of the chaotic thermal convection in an annular thermosyphon
Article dans une revue avec comité de lecture
Date
2020-07Journal
Theoretical and Computational Fluid DynamicsRésumé
Identifying accurate and yet interpretable low-order models from data has gained renewed interest over the past decade. In the present work, we illustrate how the combined use of dimensionality reduction and sparse system identification techniques allows us to obtain an accurate model of the chaotic thermal convection in a two-dimensional annular thermosyphon. Taking as guidelines the derivation of the Lorenz system, the chaotic thermal convection dynamics simulated using a high-fidelity computational fluid dynamics solver are first embedded into a low-dimensional space using dynamic mode decomposition. After
having reviewed the physical properties the reduced-order model should exhibit, the latter is identified using SINDy, an increasingly popular and flexible framework for the identification of nonlinear continuous-time dynamical systems from data. The identified model closely resembles the canonical Lorenz system, having the same structure and exhibiting the same physical properties. It moreover accurately predicts a bifurcation of the high-dimensional system (corresponding to the onset of steady convection cells) occurring at a much lower Rayleigh number than the one considered in this study.
Fichier(s) constituant cette publication
- Nom:
- DYNFLUID_TCFD_2020_LOISEAU.pdf
- Taille:
- 2.931Mo
- Format:
- Description:
- Data-driven modeling of the ...
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Documents liés
Visualiser des documents liés par titre, auteur, créateur et sujet.
-
Article dans une revue avec comité de lectureCHERUBINI, Stefania; LERICHE, Emmanuel; ROBINET, Jean-Christophe; LOISEAU, Jean-Christophe (Cambridge University Press (CUP), 2014)The linear global instability and resulting transition to turbulence induced by an isolated cylindrical roughness element of height h and diameter d immersed within an incompressible boundary layer flow along a flat plate ...
-
Article dans une revue avec comité de lecturePICELLA, Francesco; LUSSEYRAN, F; CHERUBINI, Stefania; PASTUR, L; ROBINET, Jean-Christophe; LOISEAU, Jean-Christophe (Cambridge University Press (CUP), 2018)The transition to unsteadiness of a three-dimensional open cavity flow is investigated using the joint application of direct numerical simulations and fully three-dimensional linear stability analyses, providing a clear ...
-
Article dans une revue avec comité de lectureThe objective of this work is to investigate numerically the different physical mechanisms of the transition to turbulence of a separated boundary-layer flow over an airfoil at low angle of attack. In this study, the ...
-
Article dans une revue avec comité de lectureTransition from steady state to intermittent chaos in the cubical lid-driven flow is investigated numerically. Fully three-dimensional stability analyses have revealed that the flow experiences an Andronov-Poincaré-Hopf ...
-
Article dans une revue avec comité de lectureBUCCI, Michele Alessandro; PUCKERT, Dominik K.; ANDRIANO, Cesare; CHERUBINI, Stefania; RIST, Ulrich; ROBINET, Jean-Christophe; LOISEAU, Jean-Christophe (Cambridge University Press (CUP), 2017)The onset of unsteadiness in a boundary-layer flow past a cylindrical roughness element is investigated for three flow configurations at subcritical Reynolds numbers, both experimentally and numerically. On the one hand, ...