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Comparison of numerical schemes for the solution of the advective age equation in ice sheets

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タイトル: Comparison of numerical schemes for the solution of the advective age equation in ice sheets
著者: Greve, Ralf 著作を一覧する
Wang, Yongqi 著作を一覧する
Mügge, Bernd 著作を一覧する
キーワード: Ice sheet
Age equation
Numerical scheme
Finite volume
発行日: 2002年
出版者: International Glaciological Society
誌名: Annals of Glaciology
巻: 35
開始ページ: 487
終了ページ: 494
出版社 DOI: 10.3189/172756402781817112
抄録: 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.
Rights: © 2002 International Glaciological Society
Relation (URI):
資料タイプ: article
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: Greve Ralf


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