Energy conservation in incompressible convection

ORAL

Abstract

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, The University of Sydney, University of Sydney