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Title
  • en Comparison of numerical schemes for the solution of the advective age equation in ice sheets
Creator
    • en Wang, Yongqi
    • en Mügge, Bernd
Accessrights open access
Rights
  • en © 2002 International Glaciological Society
Subject
  • Other en Ice sheet
  • Other en Age equation
  • Other en Dating
  • Other en Numerical scheme
  • Other en Finite volume
  • NDC 452
Description
  • 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.
Publisher en International Glaciological Society
Date
    Issued2002
Language
  • eng
Resource Type journal article
Version Type VoR
Identifier HDL http://hdl.handle.net/2115/34606
Relation
  • URI http://www.igsoc.org/
  • isIdenticalTo DOI https://doi.org/10.3189/172756402781817112
Journal
    • PISSN 0260-3055
    • EISSN 1727-5644
      • en Annals of Glaciology
      • Volume Number35 Page Start487 Page End494
File
Oaidate 2023-07-26