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DTSTAMP:20260421T090513Z
LOCATION:Plenary Room (Bldg. 6 - 001)
DTSTART;TZID=Europe/Stockholm:20260629T193500
DTEND;TZID=Europe/Stockholm:20260629T193600
UID:submissions.pasc-conference.org_PASC26_sess124_pos109@linklings.com
SUMMARY: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), and Nina Burgdorfer (MeteoSwiss)\n\nThe icosahedral model for we
 ather and climate simulations utilises flux-form semi-Lagrangian (FFSL) sc
 hemes for the transport of species. The motivation is the higher Courant-F
 riedrich-Lewy (CFL) number compared to Eulerian approaches. The schemes ar
 e implemented on the triangular mesh on a sphere which we simplify for ana
 lysis to a planar equilateral triangular mesh. A second-order scheme with 
 four-point stencil and a third-order scheme with ten-point stencil are con
 sidered. We extend these linear schemes to weighted essentially non-oscill
 atory (WENO) FFSL schemes. The efficient implementation of these schemes o
 n graphic processors (GPUs) reveals that the more floating point operation
 s demanding WENO scheme has only marginally more cost than the simple FFSL
  scheme. Since the latter scheme requires the application of a flux limite
 r, the WENO scheme has overall the lower cost. For the second order approx
 imation the solutions of the linear FFSL scheme with one least square appr
 oximation and the sub-stencils of the WENO scheme are identical. For the t
 hird order scheme the dispersion relation for the WENO approach with three
  seven-point stencils is superior to the complete evaluated ten-point sten
 cil. Steep gradient solutions are handled in a similar quality between lin
 ear FFSL scheme combined with flux limiter and the WENO FFSL scheme.\n\n
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