The application of Jacobian-free Newton-Krylov methods to reduce the spin-up time of ocean general circulation models

Erik Bernsen, Henk A. Dijkstra, Jonas Thies, Fred W. Wubs

Research output: Contribution to journalArticleScientificpeer-review

14 Citations (Scopus)

Abstract

In present-day forward time stepping ocean-climate models, capturing both the wind-driven and thermohaline components, a substantial amount of CPU time is needed in a so-called spin-up simulation to determine an equilibrium solution. In this paper, we present methodology based on Jacobian-Free Newton-Krylov methods to reduce the computational time for such a spin-up problem. We apply the method to an idealized configuration of a state-of-the-art ocean model, the Modular Ocean Model version 4 (MOM4). It is shown that a typical speed-up of a factor 10-25 with respect to the original MOM4 code can be achieved and that this speed-up increases with increasing horizontal resolution.

Original languageEnglish
Pages (from-to)8167-8179
Number of pages13
JournalJournal of Computational Physics
Volume229
Issue number21
DOIs
Publication statusPublished - Oct 2010
Externally publishedYes

Keywords

  • Jacobian-free Newton-Krylov methods
  • Ocean modelling
  • Preconditioning

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