Identification

Title

On simplifying 'incremental remap'-type transport schemes

Abstract

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.

Resource type

document

Resource locator

Unique resource identifier

code

https://n2t.org/ark:/85065/d7ks6t3w

codeSpace

Dataset language

eng

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Classification of spatial data and services

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geoscientificInformation

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title

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reference date

date type

publication

effective date

2016-01-01T00:00:00Z

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publication

effective date

2011-09-10T00:00:00Z

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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.

Limitations on public access

None

Responsible organisations

Responsible party

contact position

OpenSky Support

organisation name

UCAR/NCAR - Library

full postal address

PO Box 3000

Boulder

80307-3000

email address

opensky@ucar.edu

web address

http://opensky.ucar.edu/

name: homepage

responsible party role

pointOfContact

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