Presentation
P14 - Flux-Form Semi-Lagrangian (FFSL) Schemes on a Triangular Mesh
Presenter
DescriptionFlux-Form Semi-Lagrangian (FFSL) schemes for the solution of hyperbolic partial differential equations are popular since they allow for high CFL numbers. There are applications in plasma physics and weather and climate simulations. For the latter recently icosahedral meshes on a spherical domain are used. An example of this is the ICON code. We simplify these type of meshes for our investigation to periodic two-dimensional equilateral triangular meshes. The dispersion relation of Miura's scheme is evaluated numerically for different CFL numbers and wind directions. The type of mesh gives a 60 degree periodicity and 30 degree symmetry of the wave propagation properties. From the dissipation of 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 exponential dissipation for the class of schemes. A system response of the discretisation is determined, in order to evaluate hybrid schemes of spatial varying order. It confirms good wave propagation properties despite discontinuities due to hybridisation.
TimeMonday, June 1610:20 - 10:50 CEST
LocationCampussaal - Plenary Room
Session Chair
Event Type
PASC Poster
