General characteristics of stratospheric singular vectors

Leading singular vectors (SVs) have been computed for a numerical weather prediction model that can resolve dynamical structures within the stratosphere and lower mesosphere. The norm applied at the final time is the commonly used energy norm but confined to measuring the stratosphere. These stratos...

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Bibliographic Details
Main Authors: Ronald M. Errico, Ronald Gelaro, Elena Novakovskaia, Ricardo Todling
Format: Article
Language:English
Published: Borntraeger 2007-12-01
Series:Meteorologische Zeitschrift
Online Access:http://dx.doi.org/10.1127/0941-2948/2007/0245
Description
Summary:Leading singular vectors (SVs) have been computed for a numerical weather prediction model that can resolve dynamical structures within the stratosphere and lower mesosphere. The norm applied at the final time is the commonly used energy norm but confined to measuring the stratosphere. These stratospheric SVs are described by presenting three examples. The SVs are produced using either of two initial norms that weight perturbations within the troposphere versus stratosphere very differently. For either initial norm, singular values are typically smaller than their tropospheric counterparts and they are less geographically local. They also retain their relevance to corresponding nonlinear evolutions for longer periods and larger amplitudes. For the initial norm that is conducive to larger tropospheric perturbation, the evolution of the leading SV begins in the mid-latitude, lower troposphere and concludes at high latitudes up to the upper stratosphere. For these reasons, stratospheric SVs may be useful for explaining observed stratospheric dynamical behaviors.
ISSN:0941-2948