Identification

Title

Monotonic limiters for a second-order finite-volume advection scheme using icosahedral-hexagonal meshes

Abstract

An assessment of a recently developed (by Miura) second-order numerical advection scheme for icosahedral-hexagonal grids on the sphere is presented, and the effects of monotonic limiters that can be used with the scheme are examined. The cases address both deformational and nondeformational flow and continuous and discontinuous advected quantities; they include solid-body rotation of a cosine bell and slotted cylinder, and moving dynamic vortices. The limiters of Zalesak, Dukowicz and Kodis, and Thuburn are tested within this numerical scheme. The Zalesak and Thuburn limiters produce solutions with similar accuracy, and the Thuburn limiter, while computationally less expensive per time step, results in more stringent stability conditions for the overall scheme. The Dukowicz limiter is slightly more diffusive than the other two, but it costs the least.

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document

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http://n2t.net/ark:/85065/d75x29f9

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eng

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geoscientificInformation

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publication

effective date

2016-01-01T00:00:00Z

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publication

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2010-12-01T00:00:00Z

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Copyright 2010 American Meteorological Society (AMS). Permission to use figures, tables, and brief excerpts from this work in scientific and educational works is hereby granted provided that the source is acknowledged. Any use of material in this work that is determined to be "fair use" under Section 107 or that satisfies the conditions specified in Section 108 of the U.S. Copyright Law (17 USC, as revised by P.L. 94-553) does not require the Society's permission. Republication, systematic reproduction, posting in electronic form on servers, or other uses of this material, except as exempted by the above statements, requires written permission or license from the AMS. Additional details are provided in the AMS Copyright Policies, available from the AMS at 617-227-2425 or amspubs@ametsoc.org. Permission to place a copy of this work on this server has been provided by the AMS. The AMS does not guarantee that the copy provided here is an accurate copy of the published work.

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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

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pointOfContact

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