High-performance high-resolution semi-Lagrangian tracer transport on a sphere

  • Authors:

  • J. B. White, III;J. J. Dongarra

  • Affiliations:

  • Climate and Global Dynamics Division, National Center for Atmospheric Research, Boulder, CO 80305, United States;Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN 37996, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2011

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Abstract

Current climate models have a limited ability to increase spatial resolution because numerical stability requires the time step to decrease. We describe a semi-Lagrangian method for tracer transport that is stable for arbitrary Courant numbers, and we test a parallel implementation discretized on the cubed sphere. The method includes a fixer that conserves mass and constrains tracers to a physical range of values. The method shows third-order convergence and maintains nonlinear tracer correlations to second order. It shows optimal accuracy at Courant numbers of 10-20, more than an order of magnitude higher than explicit methods. We present parallel performance in terms of strong scaling, weak scaling, and spatial scaling (where the time step stays constant while the resolution increases). For a 0.2^o test with 100 tracers, the implementation scales efficiently to 10,000 MPI tasks.