Results obtained with a semi-Lagrangian mass-integrating transport algorithm by using the GME grid

Abstract

The defect of mass by actual schemes within the GME has motivated the implementation of a conservative semi-Lagrangian scheme on an icosahedral mesh. This scheme for the GME-mesh is unique. The properties are demonstrated by applying the new algorithm to typical test cases as they can be derived from the shallow water test suite. The results using coarse grids show: this scheme is extremely attractive for a climate version of the GME. Even for periods longer than those as specified in the SWE test suite, a defect of mass in the range of accuracy of the machine is obtained. The relative error results show that the order of accuracy of the proposed algorithm is two. © 2008 Springer.