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UID:submissions.pasc-conference.org_PASC24_sess126_msa184@linklings.com
SUMMARY:Parallel in Time Algorithms for Geophysical Fluid Dynamics: Challe
 nges Posed by Non-Smooth Physics
DESCRIPTION:Minisymposium\n\nJemma Shipton (University of Exeter)\n\nParal
 lel-in-time algorithms offer a route to continued parallel scaling for sim
 ulation of space and time dependent partial differential equations once sp
 atial parallelism is saturated. The equations relevant to geophysical flui
 d dynamics pose particular challenges for the convergence of parallel-in-t
 ime algorithms due to the hyperbolicity of the equations and the range of 
 timescales spanned by the physical processes being modelled. In particular
 , weather and climate models depend on subgridscale parameterisations that
  describe physical processes that take place on scales that are not resolv
 ed by the dynamical partial differential equations in space or in time. Th
 ese parameterisations often contain fast timescales and discontinuities, f
 or example, it is commonly assumed in cloud parameterisations that the amo
 unt of water vapour above the saturation concentration is instantaneously 
 converted into cloud droplets. In this talk I will present several paralle
 l-in-time algorithms in the context of the shallow water equations, a comm
 only used equation set for the testing of new numerical algorithms relevan
 t to weather and climate prediction. I will show how the equation set can 
 be extended to include clouds, focussing on the challenges that this poses
  to convergence of parallel-in-time algorithms.\n\nDomain: Climate, Weathe
 r, and Earth Sciences, Engineering, Physics, Computational Methods and App
 lied Mathematics\n\nSession Chairs: Eike Mueller (University of Bath) and 
 Tobias Weinzierl (Durham University)
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