Seminar: Numerical Methods for Partial Differential Equations

Building 2, 449

Speaker: Oswald Knuth (Leibniz Institute for Tropospheric Research)Title: Finite element and finite volume discretization of the shallow water equation on the sphereAbstact:There is an ongoing research in the design of numerical methods for numerical weather prediction. This is connected with an increase in spatial resolution and the intensive use of graphic processor units (GPU). The shallow water equation is a prototype for testing numerical methods in atmospheric and ocean sciences. I will describe different numerical schemes for solving this equation on the sphere with different grid types from triangular to fully unstructured polygonal grids. The focus lies on finite element and finite volume discretizations with a staggered or collocated arrangement of the unknowns. The implementation is done in the Julia language whereby the different grids are described within the same data structure.In more details I will outline the implementation of a spectral continuous Galerkin method on conforming quad grids. The implementation follows the HOMME DyCore and uses the packages MPI.jl and KernelAbstractions.jl for running the code parallel on GPU’s.Zoom Link: https://mit.zoom.us/j/93945001205