2D Unified (Non-) Hydrostatic Model of the Atmosphere with a Discontinuous Galerkin Method.

摘要

A two dimensional mesoscale atmospheric model is presented based on two systems of dynamical equations, the non-hydrostatic compressible Euler equations and the corresponding hydrostatic system. Both equation systems are discretized with a discontinuous Galerkin method in space and a linear semi-implicit multistep method in time. To cover elementwise polynomial spaces up to order four, exact quadrature rules are used. The method is applied to a terrain following quadrilateral grid. To validate the models, gravity wave propagation and mountain wave experiments are analyzed. The numerical models exhibit the proper wave propagation characteristics and high order convergence rates.