Rayleigh--Taylor turbulence in two dimensions
- Creators
- Celani, Antonio
- Mazzino, Andrea
- Vozella, Lara
- Others:
- Institut Non Linéaire de Nice Sophia-Antipolis (INLN) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)
- Dipartimento di Fisica ; Università degli studi di Genova = University of Genoa (UniGe)
- Istituto Nazionale di Fisica Nucleare (INFN) ; Istituto Nazionale di Fisica Nucleare (INFN)
Description
The first consistent phenomenological theory for two and three dimensional Rayleigh--Taylor (RT) turbulence has recently been presented by Chertkov [Phys. Rev. Lett. 91 115001 (2003)]. By means of direct numerical simulations we confirm the spatio/temporal prediction of the theory in two dimensions and explore the breakdown of the phenomenological description due to intermittency effects. We show that small-scale statistics of velocity and temperature follow Bolgiano-Obukhov scaling. At the level of global observables we show that the time-dependent Nusselt and Reynolds numbers scale as the square root of the Rayleigh number. These results point to the conclusion that Rayleigh-Taylor turbulence in two and three dimensions provides a natural physical realization of the long sought ``ultimate state of thermal convection'' [Lohse and Toschi, Phys. Rev. Lett. 90 034502 (2003)].
Additional details
- URL
- https://hal.archives-ouvertes.fr/hal-00013004
- URN
- urn:oai:HAL:hal-00013004v1
- Origin repository
- UNICA