Abstract:
The discontinuous Galerkin method (DGM) is a high order accurate spatial discretization which is appropriate for non-linear geophysical flow problems, especially in the atmosphere. It features properties that are important for weather and climate applications, like high order accuracy, discrete conservation properties, robustness, applicability to structured and unstructured grids and the treatment of complex geometries.
We present results for a 2-dimensional global spherical shallow water (SWE) flow as well as for 3-dimensional non-hydrostatic and hydrostatic mesoscale model setups. Experimental convergence rates with respect to analytic and high resolution reference solutions can approve high order properties. For the SWE model a known barotropic instability can be established. For the 2d and 3d mesoscale codes, gravity waves and mountain waves are realized. The experimental results give the indication, that the DG approach is an appropriate method to model atmospheric flow phenomena.
Authors:
M. Läuter, Alfred Wegener Institute, Potsdam
F.X. Giraldo, Naval Postgraduate School, Monterey
D. Handorf, Alfred Wegener Institute, Potsdam
K. Dethloff, Alfred Wegener Institute, Potsdam
04.11.2009
14:00 Uhr