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DTSTAMP:20250822T115804Z
LOCATION:Campussaal - Plenary Room
DTSTART;TZID=Europe/Stockholm:20250616T102000
DTEND;TZID=Europe/Stockholm:20250616T105000
UID:submissions.pasc-conference.org_PASC25_sess149_pos126@linklings.com
SUMMARY:P14 - Flux-Form Semi-Lagrangian (FFSL) Schemes on a Triangular Mes
 h
DESCRIPTION:Andreas Jocksch (ETH Zurich / CSCS), Nina Burgdorfer (MeteoSwi
 ss), Daniel Reinert (DWD), Christoph Mueller (MeteoSwiss), and David Stras
 smann and Roger Käppeli (ETH Zurich)\n\nFlux-Form Semi-Lagrangian (FFSL) s
 chemes for the solution of hyperbolic partial differential equations are p
 opular since they allow for high CFL numbers. There are applications in pl
 asma physics and weather and climate simulations. For the latter recently 
 icosahedral meshes on a spherical domain are used. An example of this is t
 he ICON code. We simplify these type of meshes for our investigation to pe
 riodic two-dimensional equilateral triangular meshes. The dispersion relat
 ion of Miura's scheme is evaluated numerically for different CFL numbers a
 nd wind directions. The type of mesh gives a 60 degree periodicity and 30 
 degree symmetry of the wave propagation properties. From the dissipation o
 f the scheme the CFL number limit for stability is determined, if existing
  for particular variants of the scheme. The dispersion relation is further
  processed to a wave packet propagation analysis, which quantifies exponen
 tial dissipation for the class of schemes. A system response of the discre
 tisation is determined, in order to evaluate hybrid schemes of spatial var
 ying order. It confirms good wave propagation properties despite discontin
 uities due to hybridisation.\n\nSession Chair: Chris Cantwell (Imperial Co
 llege London)\n\n
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