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

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Title: Comparison of numerical schemes for the solution of the advective age equation in ice sheets
Authors: Greve, Ralf Browse this author →KAKEN DB
Wang, Yongqi Browse this author
Mügge, Bernd Browse this author
Keywords: Ice sheet
Age equation
Numerical scheme
Finite volume
Issue Date: 2002
Publisher: International Glaciological Society
Journal Title: Annals of Glaciology
Volume: 35
Start Page: 487
End Page: 494
Publisher DOI: 10.3189/172756402781817112
Abstract: 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
Type: article
Appears in Collections:低温科学研究所 (Institute of Low Temperature Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: Greve Ralf

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