Bifurcation analysis of wind-driven flows with MOM4

Erik Bernsen*, Henk A. Dijkstra, Fred W. Wubs

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
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Abstract

In this paper, the methodology of bifurcation analysis is applied to the explicit time-stepping ocean model MOM4 using a Jacobian-Free Newton-Krylov (JFNK) approach. We in detail present the implementation of the JFNK method in MOM4 but restrict the preconditioning technique to the case for which the density distribution is prescribed. For a prescribed density field case, we present bifurcation diagrams, for the first time in MOM4, for the wind-driven ocean circulation. In addition, we show that the JFNK method can reduce the spin-up time to a steady equilibrium in MOM4 considerably if an accurate solution is required. (C) 2009 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)95-105
Number of pages11
JournalOcean modelling
Volume30
Issue number2-3
DOIs
Publication statusPublished - 2009

Keywords

  • Bifurcation analysis
  • Jacobian-Free Newton-Krylov method
  • Steady state
  • Wind-driven circulation
  • Nonlinear equations
  • Numerical analysis
  • SPARSE JACOBIAN MATRICES
  • NEWTON-KRYLOV METHODS
  • OCEAN CIRCULATION
  • MULTIPLE EQUILIBRIA
  • SPIN-UP
  • MODELS
  • VARIABILITY
  • DIAGRAMS
  • CLIMATE
  • SOLVER

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