Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models
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 pr...
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ftcopernicus:oai:publications.copernicus.org:gmdd84041 2023-05-15T16:40:03+02:00 Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models Saito, Fuyuki Obase, Takashi Abe-Ouchi, Ayako 2020-03-04 application/pdf https://doi.org/10.5194/gmd-2020-53 https://gmd.copernicus.org/preprints/gmd-2020-53/ eng eng doi:10.5194/gmd-2020-53 https://gmd.copernicus.org/preprints/gmd-2020-53/ eISSN: 1991-9603 Text 2020 ftcopernicus https://doi.org/10.5194/gmd-2020-53 2020-07-20T16:22:22Z 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. Text Ice Sheet Copernicus Publications: E-Journals |
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Open Polar |
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Copernicus Publications: E-Journals |
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ftcopernicus |
language |
English |
description |
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. |
format |
Text |
author |
Saito, Fuyuki Obase, Takashi Abe-Ouchi, Ayako |
spellingShingle |
Saito, Fuyuki Obase, Takashi Abe-Ouchi, Ayako Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models |
author_facet |
Saito, Fuyuki Obase, Takashi Abe-Ouchi, Ayako |
author_sort |
Saito, Fuyuki |
title |
Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models |
title_short |
Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models |
title_full |
Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models |
title_fullStr |
Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models |
title_full_unstemmed |
Implementation of RCIP scheme and its performance for 1D age computations in ice-sheet models |
title_sort |
implementation of rcip scheme and its performance for 1d age computations in ice-sheet models |
publishDate |
2020 |
url |
https://doi.org/10.5194/gmd-2020-53 https://gmd.copernicus.org/preprints/gmd-2020-53/ |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
eISSN: 1991-9603 |
op_relation |
doi:10.5194/gmd-2020-53 https://gmd.copernicus.org/preprints/gmd-2020-53/ |
op_doi |
https://doi.org/10.5194/gmd-2020-53 |
_version_ |
1766030415404990464 |