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On simplifying ‘incremental remap’–based transport schemes
Authors:Peter H Lauritzen  Christoph Erath  Rashmi Mittal
Institution:1. Climate and Global Dynamics Division, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307, United States;2. The Computational & Information Systems Laboratory, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307, United States;3. Mesoscale and Microscale Meteorology Division, National Center for Atmospheric Research, P.O. Box 3000, Boulder, CO 80307-3000, United States
Abstract:The flux-form incremental remapping transport scheme introduced by Dukowicz and Baumgardner 1] converts the transport problem into a remapping problem. This involves identifying overlap areas between quadrilateral flux-areas and regular square grid cells which is non-trivial and leads to some algorithm complexity. In the simpler swept area approach (originally introduced by Hirt et al. 2]) the search for overlap areas is eliminated even if the flux-areas overlap several regular grid cells. The resulting simplified scheme leads to a much simpler and robust algorithm.
Keywords:Conservative transport  Cubed-sphere  Error analysis  Finite-volume  Flux-form semi-Lagrangian  Von Neumann stability analysis  Remapping  Multi-tracer transport
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