High Rayleigh number simulations in a slender laterally periodic domain

ORAL

Abstract

The results of three-dimensional DNS simulations of Rayleigh-B\'enard convection with Ra up to $10^{13}$ in a laterally periodic geometry with progressively decreasing aspect-ratios are presented. We show global quantities such as the heat transport as well as local time-averages and vertical profiles. It is observed that the heat transport for laterally unconfined geometries can be computed at relatively small aspect-ratios whose value decreases with Rayleigh number. This is beneficial in terms of computational cost, as the total simulated domain gets smaller. The boundary layers profiles are studied and movies of horizontal cross-section of the bulk and the boundary layer are shown.

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Authors

  • Roberto Verzicco

    Dept. Industrial Engineering, Universita' di Roma Tor Vergata, Univ of Rome Tor Vergata

  • Erwin van der Poel

    Department of Physics, Mesa+ Institute, and J. M. Burgers Centre for Fluid Dynamics, University of Twente, 7500 AE Enschede, The Netherlands, Univ of Twente, University of Twente

  • Detlef Lohse

    Physics of Fluids - University of Twente, Univ of Twente, Physics of Fluids, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands, Department of Physics, Mesa+ Institute, and J. M. Burgers Centre for Fluid Dynamics, University of Twente, 7500 AE Enschede, The Netherlands, Physics of Fluids Group, Faculty of Science and Technology, University of Twente, The Netherlands, University of Twente - Netherlands, University of Twente