Balance and Ensemble Kalman Filter Localization Techniques

Abstract

In Ensemble Kalman Filter data assimilation, localization modifies the error covariance matrices to suppress the influence of distant observations, removing spurious long distance correlations. In addition to allowing efficient parallel implementation, this takes advantage of the atmosphere's lower dimensionality in local regions. There are two primary methods for localization. In B-localization, the background error covariance matrix elements are reduced by a Schur product so that correlations between grid points that are far apart are removed. In R-localization, the observation error covariance matrix is multiplied by a distance-dependent function, so that far away observations are considered to have infinite error. Successful numerical weather prediction depends upon well-balanced initial conditions to avoid spurious propagation of inertial-gravity waves. Previous studies note that B-localization can disrupt the relationship between the height gradient and the wind speed of the analysis increments, resulting in an analysis that can be significantly ageostrophic.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
ADA540483

Entities

People

  • Brian R. Hunt
  • Eugenia Kalnay
  • Kayo Ide
  • Steven J. Greybush
  • Takemasa Miyoshi

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Ageostrophy
  • Algorithms
  • Assimilation
  • Covariance
  • Data Science
  • Equations
  • Filters
  • Gravity Waves
  • Grids
  • Information Science
  • Kalman Filters
  • Mathematical Analysis
  • Mathematical Filters
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics
  • Weather Forecasting

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Atmospheric Science/Meteorology