Bounds on heat transport in Rayleigh's and related models of B\'enard convection

ORAL

Abstract

We present new upper limits on convective heat transport in both the full and several low-dimensional Galerkin truncations of Rayleigh's 1916 model of buoyancy-driven B\'enard convection using both the so-called background method as well as optimal control variational techniques.

*Research supported in part by by NSF Awards PHY-1205219, PHY-1338407, PHY-1443836, PHY-1533555 and DMS-1515161.

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Authors

  • Charles R. Doering

    • University of Michigan

  • Andre N. Souza

    • University of Michigan

  • Baole Wen

    • The University of Texs at Austin

  • Gregory P. Chini

    • University of New Hampshire

  • Richard R. Kerswell

    • University of Bristol