A Time-split Discontinuous Galerkin Transport Scheme for Global Atmospheric Model
Author(s) -
Ram D. Nair,
Lei Bao,
Michael D. Toy
Publication year - 2015
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2015.05.471
Subject(s) - discretization , integrator , advection , scalar (mathematics) , discontinuous galerkin method , mathematics , galerkin method , scheme (mathematics) , computer science , benchmark (surveying) , terrain , atmospheric model , convergence (economics) , mathematical optimization , mathematical analysis , geometry , finite element method , meteorology , physics , geodesy , geology , computer network , ecology , bandwidth (computing) , biology , economic growth , economics , thermodynamics
A time-split transport scheme has been developed for the high-order multiscale atmospheric model (HOMAM). The spacial discretization of HOMAM is based on the discontinuous Galerkin method, combining the 2D horizontal elements on the cubed-sphere surface and 1D vertical elements in a terrain-following height-based coordinate. The accuracy of the time-splitting scheme is tested with a set of new benchmark 3D advection problems. The split time-integrators are based on the Strang-type operator-split method. The convergence of standard error norms shows a second-order accuracy with the smooth scalar field, irrespective of a particular time- integrator. The results with the split scheme is comparable with that of the established models
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