Title |
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Comparison of numerical schemes for the solution of the advective age equation in ice sheets
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Creator |
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Accessrights |
open access |
Rights |
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© 2002 International Glaciological Society
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Subject |
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Other
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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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Description |
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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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Publisher |
en
International Glaciological Society
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Date |
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Language |
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Resource Type |
journal article |
Version Type |
VoR |
Identifier |
HDL
http://hdl.handle.net/2115/34606
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Relation |
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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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Journal |
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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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Volume Number35
Page Start487
Page End494
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File |
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Oaidate |
2023-07-26 |