Strategies for model reduction: Comparing different optimal bases

D. T. Crommelin, A. J. Majda

Research output: Contribution to journalArticlepeer-review

Abstract

Several different ways of constructing optimal bases for efficient dynamical modeling are compared: empirical orthogonal functions (EOFs), optimal persistence patterns (OPPs), and principal interaction patterns (PIPs). Past studies on fluid-dynamical topics have pointed out that EOF-based models can have difficulties reproducing behavior dominated by irregular transitions between different dynamical states. This issue is addressed in a geophysical context, by assessing the ability of these strategies for efficient dynamical modeling to reproduce the chaotic regime transitions in a simple atmosphere model. The atmosphere model is the well-known Charney-DeVore model, a six-dimensional truncation of the equations describing barotropic flow over topography in a β-plane channel geometry. This-model is able to generate regime transitions for well-chosen parameter settings. The models based on PIPs are found to be superior to the EOF- and OPP-based models, in spite of some undesirable sensitivities inherent to the PIP method.

Original languageEnglish (US)
Pages (from-to)2206-2217
Number of pages12
JournalJournal of the Atmospheric Sciences
Volume61
Issue number17
DOIs
StatePublished - Sep 1 2004

ASJC Scopus subject areas

  • Atmospheric Science

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