Implementation of the RCIP scheme and its performance for 1-D 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...
Published in: | Geoscientific Model Development |
---|---|
Main Authors: | , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Copernicus Publications
2020
|
Subjects: | |
Online Access: | https://doi.org/10.5194/gmd-13-5875-2020 https://doaj.org/article/45b12001f11d4ed1b4c897466220f75e |
id |
ftdoajarticles:oai:doaj.org/article:45b12001f11d4ed1b4c897466220f75e |
---|---|
record_format |
openpolar |
spelling |
ftdoajarticles:oai:doaj.org/article:45b12001f11d4ed1b4c897466220f75e 2023-05-15T16:40:05+02:00 Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models F. Saito T. Obase A. Abe-Ouchi 2020-11-01T00:00:00Z https://doi.org/10.5194/gmd-13-5875-2020 https://doaj.org/article/45b12001f11d4ed1b4c897466220f75e EN eng Copernicus Publications https://gmd.copernicus.org/articles/13/5875/2020/gmd-13-5875-2020.pdf https://doaj.org/toc/1991-959X https://doaj.org/toc/1991-9603 doi:10.5194/gmd-13-5875-2020 1991-959X 1991-9603 https://doaj.org/article/45b12001f11d4ed1b4c897466220f75e Geoscientific Model Development, Vol 13, Pp 5875-5896 (2020) Geology QE1-996.5 article 2020 ftdoajarticles https://doi.org/10.5194/gmd-13-5875-2020 2022-12-31T12:23:21Z 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. Article in Journal/Newspaper Ice Sheet Directory of Open Access Journals: DOAJ Articles Geoscientific Model Development 13 11 5875 5896 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Geology QE1-996.5 |
spellingShingle |
Geology QE1-996.5 F. Saito T. Obase A. Abe-Ouchi Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models |
topic_facet |
Geology QE1-996.5 |
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 (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. |
format |
Article in Journal/Newspaper |
author |
F. Saito T. Obase A. Abe-Ouchi |
author_facet |
F. Saito T. Obase A. Abe-Ouchi |
author_sort |
F. Saito |
title |
Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models |
title_short |
Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models |
title_full |
Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models |
title_fullStr |
Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models |
title_full_unstemmed |
Implementation of the RCIP scheme and its performance for 1-D age computations in ice-sheet models |
title_sort |
implementation of the rcip scheme and its performance for 1-d age computations in ice-sheet models |
publisher |
Copernicus Publications |
publishDate |
2020 |
url |
https://doi.org/10.5194/gmd-13-5875-2020 https://doaj.org/article/45b12001f11d4ed1b4c897466220f75e |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
Geoscientific Model Development, Vol 13, Pp 5875-5896 (2020) |
op_relation |
https://gmd.copernicus.org/articles/13/5875/2020/gmd-13-5875-2020.pdf https://doaj.org/toc/1991-959X https://doaj.org/toc/1991-9603 doi:10.5194/gmd-13-5875-2020 1991-959X 1991-9603 https://doaj.org/article/45b12001f11d4ed1b4c897466220f75e |
op_doi |
https://doi.org/10.5194/gmd-13-5875-2020 |
container_title |
Geoscientific Model Development |
container_volume |
13 |
container_issue |
11 |
container_start_page |
5875 |
op_container_end_page |
5896 |
_version_ |
1766030454527361024 |