Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models
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Published:2020-11-28
Issue:11
Volume:13
Page:5875-5896
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ISSN:1991-9603
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Container-title:Geoscientific Model Development
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language:en
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Short-container-title:Geosci. Model Dev.
Author:
Saito FuyukiORCID, Obase Takashi, Abe-Ouchi AyakoORCID
Abstract
Abstract. Ice-sheet age computations are formulated using an Eulerian advection
equation,
and there are many schemes that can be used to solve them numerically.
Typically, these differ in
numerical characteristics such as stability, accuracy, and diffusivity.
Furthermore, although various methods have been presented for ice-sheet age computations,
the constrained interpolation profile method and its variants have
not been examined in this context.
The present study introduces one of its variants, a rational function-based
constrained interpolation profile (RCIP) scheme, to one-dimensional ice age
computation
and demonstrates its performance levels via comparisons with those
obtained from first- and second-order upwind schemes.
Our results show that the RCIP scheme preserves the pattern of input
surface mass balance histories in terms of the vertical profile of internal
annual layer thickness better than the other schemes.
Publisher
Copernicus GmbH
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