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DTSTAMP:20260605T154540Z
LOCATION:Plenary Room (Bldg. 6 - 001)
DTSTART;TZID=Europe/Stockholm:20260629T193500
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UID:submissions.pasc-conference.org_PASC26_sess124_pos109@linklings.com
SUMMARY:P15 - A Flux-Form Semi-Lagrangian WENO Scheme on Triangular Meshes
DESCRIPTION:Andreas Jocksch (ETH Zurich / CSCS); Daniel Reinert (Deutscher
  Wetterdienst (DWD)); Christoph Müller (MeteoSwiss); David Strassmann (ETH
  Zurich); Nina Burgdorfer (MeteoSwiss); Anurag Dipankar (ETH Zurich); Maur
 o Bianco (ETH Zurich / CSCS); and Thomas Schulthess (ETH Zurich, ETH Zuric
 h / CSCS)\n\nThe icosahedral model for weather and climate simulations uti
 lises flux-form semi-Lagrangian (FFSL) schemes for the transport of specie
 s. The motivation is the higher Courant-Friedrich-Lewy (CFL) number compar
 ed to Eulerian approaches. The schemes are implemented on the triangular m
 esh on a sphere which we simplify for analysis to a planar equilateral tri
 angular mesh. A second-order scheme with four-point stencil and a third-or
 der scheme with ten-point stencil are considered. We extend these linear s
 chemes to weighted essentially non-oscillatory (WENO) FFSL schemes. The ef
 ficient implementation of these schemes on graphic processors (GPUs) revea
 ls that the more floating point operations demanding WENO scheme has only 
 marginally more cost than the simple FFSL scheme. Since the latter scheme 
 requires the application of a flux limiter, the WENO scheme has overall th
 e lower cost. For the second order approximation the solutions of the line
 ar FFSL scheme with one least square approximation and the sub-stencils of
  the WENO scheme are identical. For the third order scheme the dispersion 
 relation for the WENO approach with three seven-point stencils is superior
  to the complete evaluated ten-point stencil. Steep gradient solutions are
  handled in a similar quality between linear FFSL scheme combined with flu
 x limiter and the WENO FFSL scheme.\n\nSession Chair: Miroslava Nedyalkova
  (University of Fribourg)\n\n
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