@misc{WillOgaja, author = {Will, Andreas and Ogaja, Jack}, title = {Higher order spatial discretisation methods for non-hydrostatic models of the atmosphere on regular grids}, series = {Mathematical Theory and Modelling in Atmosphere-Ocean-Science, Report No. 34/2010}, volume = {34}, journal = {Mathematical Theory and Modelling in Atmosphere-Ocean-Science, Report No. 34/2010}, pages = {2089 -- 2090}, abstract = {In turbulence modeling small stencils, conservation of the integrals of motion and high order of approximation of the mathematical operators for filtering and derivatives could be realised ([2]). Nowadays such methods are going to be developed for state of the art atmospheric LAMs. In the following the behaviour in idealised test cases of different numerical approximations of an incompressible model and the current status of the development of a state of the art model ( COSMO) for RCM and NWP is presented.}, language = {en} }