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Comparison of numerical schemes for the solution of the advective age equation in ice sheets
| 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 | | Dating | | 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 |
| Relation: | http://www.igsoc.org/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/34606 |
| 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)
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Submitter: Greve Ralf
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