| タイトル |
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en
Comparison of numerical schemes for the solution of the advective age equation in ice sheets
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| 作成者 |
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| アクセス権 |
open access |
| 権利情報 |
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en
© 2002 International Glaciological Society
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| 主題 |
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Other
en
Ice sheet
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Other
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Age equation
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Other
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Dating
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Other
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Numerical scheme
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Other
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Finite volume
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NDC
452
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| 内容注記 |
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Abstract
en
A one-dimensional model problem for computation of the age field in ice sheets, which is of great importance for dating deep ice cores, is considered.The corresponding partial differential equation (PDE) is of purely advective (hyperbolic) type, which is notoriously difficult to solvenumerically. By integrating the PDE over a space-time element in the sense of a finite-volume approach, a general difference equation is constructed from which a hierarchy of solution schemes can be derived. Iteration rules are given explicitly for central differences, first-, second- and third-order (QUICK) upstreaming as well as modifiedTVD Lax-Friedrichs schemes (TVDLFs). The performance of these schemes in terms of convergence and accuracy is discussed. Second-order upstreaming, themodifiedTVDLF scheme with Minmod slope limiter and, with limitations of the accuracy directly at the base, first-order upstreaming prove to be the most suitable for numerical age computations in ice-sheet models.
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| 出版者 |
en
International Glaciological Society
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| 日付 |
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| 言語 |
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| 資源タイプ |
journal article |
| 出版タイプ |
VoR |
| 資源識別子 |
HDL
http://hdl.handle.net/2115/34606
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| 関連 |
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URI
http://www.igsoc.org/
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isIdenticalTo
DOI
https://doi.org/10.3189/172756402781817112
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| 収録誌情報 |
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PISSN
0260-3055
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EISSN
1727-5644
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en
Annals of Glaciology
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巻35
開始ページ487
終了ページ494
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| ファイル |
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| コンテンツ更新日時 |
2023-07-26 |
