In classic Rayleigh-B\'enard convection, energy is not conserved. Here we study a set of incompressible equations that do conserve energy when thermal diffusion is present. Using the Dedalus pseudospectral framework, we study heat transport by convection in simulations of incompressible but energy-conserving equations. We compare heat transport properties to classic Rayleigh-B\'enard convection.
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Authors
Tayler Quist
Dept. Astrophysical & Planetary Sciences, University of Colorado -- Boulder, Boulder, CO 80309, USA
Evan H. Anders
Dept. Astrophysical & Planetary Sciences, University of Colorado -- Boulder, Boulder, CO 80309, USA
Benjamin Brown
Dept. Astrophysical & Planetary Sciences, University of Colorado -- Boulder, Boulder, CO 80309, USA
Astrophysical and Planetary Sciences, University of Colorado, Boulder
University of Colorado Boulder
University of Colorado
Keaton Burns
Dept. Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Massachusetts Institute of Technology
Daniel Lecoanet
Princeton Center for Theoretical Science, Princeton University, Princeton, NJ 08544, USA
Princeton Center for Theoretical Sciences, Princeton University
Princeton Center for Theoretical Science, Princeton University
Princeton University
Princeton Univ
Jeffrey S. Oishi
Dept. Physics & Astronomy, Bates College, Lewiston, ME 04240, USA
Bates College
Geoffrey Vasil
School of Mathematics & Statistics, University of Sydney, NSW 2006, Australia
School of Mathematics & Statistics, University of Sydney