Optimal Perturbations in Quasigeostrophic Turbulence

Journal of the Atmospheric Sciences;  April 1, 2007 ;     700+ words ......hypothesis that optimal perturbations in quasigeostrophic...energy-containing eddies. Optimal perturbations are defined here as singular vectors of the propagator...distribution of the singular vectors in statistically...complete set of optimal ...

On Ensemble Prediction Using Singular Vectors Started from Forecasts

Monthly Weather Review;  October 1, 2005 ;     700+ words ......System of using singular vectors computed from...similarity between singular vectors started from a 12-h forecast and singular vectors started from...extratropical singular vectors in each of the...sensitivity of the singular vectors to the ...

The Necessity of Instantaneous Optimals in Stationary Turbulence

Journal of the Atmospheric Sciences;  May 1, 2004 ;     700+ words ...ABSTRACT An optimal perturbation...argued that optimal perturbations play an important...are whether optimal perturbations necessarily...necessarily excites optimal perturbations at the rate...finite-time singular vectors. Moreover...types of optimal ...

Optimal Growth in Inertia-Gravity Wave Packets: Energetics, Long-Term...

Journal of the Atmospheric Sciences;  February 1, 2006 ;     700+ words ......previous study, optimal perturbations of inertia-gravity...structure, while singular vectors (SVs) can adjust...corresponding optimal perturbations (Achatz and Schmilz...perturbations and the singular vectors (SVs) developing...period. Therefore, optimal ...

Impact of horizontal diffusion on T21, T42, and T63 singular vectors

Journal of the Atmospheric Sciences;  March 15, 1998 ;     700+ words ...ABSTRACT The (linear) time evolution of singular vectors computed with a primitive equation...impact of horizontal diffusion on the singular vectors characteristics (amplification factors...spectra) is analyzed. Forecast error and singular vectors computed with different horizontal...

Singular vectors, metrics, and adaptive observations

Journal of the Atmospheric Sciences;  February 15, 1998 ;     700+ words ......BARKMEIJER, AND R. BUIZZA ABSTRACT Singular vectors of the linearized equations of motion...predictability. A third use of these singular vectors is proposed here: as part of a strategy...the metric. The strategy for using singular vectors to target adaptive observations is...

The differences between the optimal perturbations of coupled models of...

Journal of Climate;  January 15, 2001 ;     700+ words ......ABSTRACT The optimal perturbations (singular vectors) of a dynamical...However, the optimal perturbations of the tangent...estimates of optimal perturbations for ENSO...system are the singular vectors of the linearized...Since the singular ...

ADJOINT MODEL APPLICATIONS IN DYNAMIC METEOROLOGY

Bulletin of the American Meteorological Society;  December 1, 2007 ;     700+ words ......determination and application of singular vectors, observation sensitivity and impact...model may also be interpreted as optimal perturbations under particular conditions, for...analysis errors," which are the optimal perturbations for reducing a specified measure...several studies ...

The Norm Dependence of Singular Vectors

Journal of the Atmospheric Sciences;  December 1, 2004 ;     700+ words ......atmosphere-ocean problems. The resulting singular vectors, however, depend on the norm used...perturbation theory, a derivation of how singular vectors change with norms typically used in...understood as general properties of singular vectors. This will hopefully clarify the ...

Growth properties of optimal transition perturbations

Journal of the Atmospheric Sciences;  August 1, 1999 ;     700+ words ......evolution of the optimal perturbations qualitatively...evolution of such optimal perturbations in terms of vertical...components of the optimal perturbation...of time. The optimal transition perturbations...directly related to singular vectors (SVs), which...period of ...

Targeting observations using singular vectors

Journal of the Atmospheric Sciences;  September 1, 1999 ;     700+ words ...ABSTRACT Singular vectors with maximum energy at final...forecast trajectory along which the singular vectors are evolved, to the choice of...maximized. and to the number of singular vectors used to define the target area...

Singular vector calculations with an analysis error variance metric

Monthly Weather Review;  May 1, 2002 ;     700+ words ...ABSTRACT Singular vectors of the navy's global forecast...readily computed, the leading singular vectors are obtained using a standard...as total energy. The resulting singular vectors are consistent with the expected...

The Calculation of Climatically Relevant Singular Vectors in the Presence...

Journal of the Atmospheric Sciences;  December 1, 2003 ;     700+ words ......of climatically relevant singular vectors in the presence of weather...coupled model for which exact singular vectors are known is tested. Here...estimates for the first few singular vectors are produced for the associated...

Singular Vector Analysis for Atmospheric Chemical Transport Models

Monthly Weather Review;  September 1, 2006 ;     700+ words ...ABSTRACT The singular vectors of a chemical transport model...values and the structure of the singular vectors depend on the length of the...omitted.) 1. Introduction The singular vectors of a chemical transport model...

Singular Vectors and Time-Dependent Normal Modes of a Baroclinic Wave-Mean...

Journal of the Atmospheric Sciences;  March 1, 2008 ;     700+ words ......analyzed, allowing the comparison of singular vectors and time-dependent normal modes (Floquet vectors). Singular vectors characterize the transient growth...disturbances. The relationship between singular vectors and Floquet vectors (the analog...