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Geoscientific Model Development An interactive open-access journal of the European Geosciences Union
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Discussion papers
https://doi.org/10.5194/gmd-2020-53
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-2020-53
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

Submitted as: development and technical paper 04 Mar 2020

Submitted as: development and technical paper | 04 Mar 2020

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This preprint is currently under review for the journal GMD.

Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models

Fuyuki Saito1, Takashi Obase2, and Ayako Abe-Ouchi1,2 Fuyuki Saito et al.
  • 1Japan Agency for Marine-Earth Science and Technology (JAMSTEC), Yokohama, Japan
  • 2Atmosphere Ocean Research Institute, Univ. of Tokyo, Kashiwa, Japan

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 scheme (RCIP) 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.

Fuyuki Saito et al.

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Fuyuki Saito et al.

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Latest update: 28 Mar 2020
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Short summary
The present study introduces the rational function-based constrained interpolation profile (RCIP) method for use in 1-d dating computations in ice sheet, and demonstrates the performance of the scheme. Comparisons are examined among the RCIP schemes and the first- and second-order upwind schemes. The results show that, in particular, the RCIP scheme preserves the pattern of input histories, in terms of the profile of internal annual layer thickness, better than the other schemes.
The present study introduces the rational function-based constrained interpolation profile...
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