We report results from direct numerical simulations of turbulent Rayleigh-Benard convection for a Prandtl number of 1 and aspect ratio of 0.1, with Rayleigh numbers varying from 1e8 to 1e15. We present the dependence of the heat transport (the Nusselt number) and momentum transport (the Reynolds number) on the Rayleigh number for this parameter regime. We will also discuss the global structure of the convection flow and details of the increasingly intermittent boundary layer dynamics. Various strategies for improving the efficiency of statistical convergence will also be presented.
We acknowledge support by the Priority Programme SPP 1881 of the Deutsche Forschungsgemeinschaft and an award of computer time provided by the INCITE program. This research used resources of the ALCF at ANL, which is supported by the DOE under contract DE-AC02-06CH11357.
Authors: Janet D. Scheel, Occidental College, Los Angeles, California, USA
Kartik Iyer, Michigan Technological University, Houghton, MI
Joerg Schumacher, Technische Universitaet Ilmenau, Ilmenau, Germany
Katepalli R. Sreenivasan, New York University, New York, New York, USA