edu.ucar.opensky::articles:18154 UCAR/NCAR - Library OpenSky Support PO Box 3000 Boulder CO 80307-3000 opensky@ucar.edu http://opensky.ucar.edu/ homepage pointOfContact 2025-12-26T04:11:31.025056 ISO 19115-2 Geographic Information - Metadata - Part 2: Extensions for Imagery and Gridded Data ISO 19115-2:2009(E) https://n2t.org/ark:/85065/d7ks6t3w On simplifying 'incremental remap'-type transport schemes 2011-09-10T00:00:00Z publication https://n2t.org/ark:/85065/d7ks6t3w https://doi.org/10.1016/j.jcp.2011.06.030 Lauritzen, Peter H. author Erath, Christoph author Mittal, Rashmi author UCAR/NCAR - Library publisher The flux-form incremental remapping transport scheme introduced by Dukowicz and Baumgardner 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.) 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. We show that for sufficiently small Courant numbers (approximately CFL ≤ 1/2) the simplified (or swept area) scheme can be more accurate than the original incremental remapping scheme. This is demonstrated through a Von Neumann stability analysis, an error analysis and in idealized transport test cases on the sphere using the 'incremental remapping'-based scheme called FF-CSLAM (Flux-Form version of the Conservative Semi-Lagrangian Multi-tracer scheme) on the cubed-sphere. UCAR/NCAR - Library OpenSky Support PO Box 3000 Boulder CO 80307-3000 opensky@ucar.edu http://opensky.ucar.edu/ homepage pointOfContact PDF Text theme Resource Type 2016-01-01T00:00:00Z publication NOTICE: This is the author's version of a work accepted for publication by Elsevier. Changes resulting from the publishing process, including peer review, editing, corrections, structural formatting and other quality control mechanisms, may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. None eng geoscientificInformation