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The Flux-Differencing Discontinuous Galerkin Method Applied to an Idealized Fully Compressible Nonhydrostatic Dry Atmosphere
  • +14
  • Andre Souza,
  • Jia He,
  • Tobias Bischoff,
  • Maciej Waruszewski,
  • Lenka Novak,
  • Valeria Barra,
  • Thomas Gibson,
  • Akshay Sridhar,
  • Sriharsha Kandala,
  • Simon Byrne,
  • Lucas Wilcox,
  • Jeremy Kozdon,
  • Frank Giraldo,
  • Oswald Knoth,
  • Raffaele Ferrari,
  • John Marshall,
  • Tapio Schneider
Andre Souza
Massachusetts Institute of Technology, Massachusetts Institute of Technology

Corresponding Author:[email protected]

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Jia He
California Institute of Technology, California Institute of Technology
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Tobias Bischoff
California Institute of Technology, California Institute of Technology
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Maciej Waruszewski
Sandia National Laboratories, Sandia National Laboratories
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Lenka Novak
California Institute of Technology, California Institute of Technology
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Valeria Barra
California Institute of Technology, California Institute of Technology
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Thomas Gibson
UNIVERSITY OF ILLINOIS URBANA-CHAMPAIGN, UNIVERSITY OF ILLINOIS URBANA-CHAMPAIGN
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Akshay Sridhar
California Institute of Technology, California Institute of Technology
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Sriharsha Kandala
California Institute of Technology, California Institute of Technology
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Simon Byrne
California Institute of Technology, California Institute of Technology
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Lucas Wilcox
Naval Postgraduate School, Naval Postgraduate School
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Jeremy Kozdon
Naval Postgraduate School, Naval Postgraduate School
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Frank Giraldo
Naval Postgraduate School, Naval Postgraduate School
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Oswald Knoth
Leibniz Institute for Tropospheric Research, Leibniz Institute for Tropospheric Research
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Raffaele Ferrari
Massachusetts Institute of Technology, Massachusetts Institute of Technology
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John Marshall
Massachusetts Institute of Technology, Massachusetts Institute of Technology
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Tapio Schneider
California Institute of Technology, California Institute of Technology
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Abstract

Dynamical cores used to study the circulation of the atmosphere employ various numerical methods ranging from finite-volume, spectral element, global spectral, and hybrid methods. In this work, we explore the use of Flux-Differencing Discontinuous Galerkin (FDDG) methods to simulate a fully compressible dry atmosphere at various resolutions. We show that the method offers a judicious compromise between high-order accuracy and stability for large-eddy simulations and simulations of the atmospheric general circulation. In particular, filters, divergence damping, diffusion, hyperdiffusion, or sponge-layers are not required to ensure stability; only the numerical dissipation naturally afforded by FDDG is necessary. We apply the method to the simulation of dry convection in an atmospheric boundary layer and in a global atmospheric dynamical core in the standard benchmark of Held and Suarez (1994).