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Weight interpolation for efficient data assimilation with the  Local Ensemble Transform Kalman Filter Shu-Chih Yang 1,2 , Eugenia Kalnay 1,3 ,  Brian Hunt 1,3  and Neill E. Bowler 4 1  Department of Atmospheric and Oceanic Science, University of Maryland 2   Global Modeling and Assimilation Office, NASA/GSFC 3   Institute for Physical Science and Technology, University of Maryland 4  Met Office, FitzRoy Road, Exeter, UK
Motivation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Local Ensemble Transform Kalman Filter Perform Data Assimilation in local patch (3D-window) ,[object Object],[object Object],Analysis mean state Analysis ensemble perturbations
Weights from LETKF ,[object Object],[object Object],[object Object],[object Object],: The observations contribution to the mean background state : The dynamically evolving error structures obtained from background ensemble perturbations
Local Ensemble Transform Kalman Filter Perform Data Assimilation in local patch (3D-window) ,[object Object],[object Object]
LETKF on coarse grids : coarse grids to perform LETKF analysis and calculate  ,    : use the interpolated weights to compute the analysis Ex: 11% analysis coverage To ensure zero mean of  X a     Choose a linear interpolation scheme (bi-variate interpolation, Akima,1978)
Experiments with the Quasi-Geostrophic model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Weights from different analysis grid coverage Full Analysis 11%   analysis grids 4%   analysis grids 2%   analysis grids Observation impact on correcting the mean state for analysis mean from background pert.4   ,[object Object],[object Object],[object Object]
Weights from different analysis grid coverage Full Analysis 11%  analysis grids 4%  analysis grids 2%  analysis grids Based on dynamical evolution of the ensemble perturbations for analysis pert.1 from background pert.1   Full Analysis 11%  analysis grids 4%  analysis grids 2%  analysis grids for analysis pert.1 from background pert.4
Analysis accuracy ( weight-interpolation  vs.   interment-interpolation )
Analysis accuracy ( weight-interpolation  vs.   increment-interpolation )   11% analysis-grid coverage
Analysis increment ( weight-interpolation  vs.   increment-interpolation ) 50%   analysis grids increment-interpolation  (from full analysis) 11%   analysis grids 4%   analysis grids 2%   analysis grids 11%   analysis grids 4%   analysis grids 2%   analysis grids weight-interpolation Analysis increments are characterized by small scale features, related to local dynamic instability.   Full Analysis
Conclusion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Yangetal Efficient Letkf

  • 1. Weight interpolation for efficient data assimilation with the Local Ensemble Transform Kalman Filter Shu-Chih Yang 1,2 , Eugenia Kalnay 1,3 , Brian Hunt 1,3 and Neill E. Bowler 4 1 Department of Atmospheric and Oceanic Science, University of Maryland 2 Global Modeling and Assimilation Office, NASA/GSFC 3 Institute for Physical Science and Technology, University of Maryland 4 Met Office, FitzRoy Road, Exeter, UK
  • 2.
  • 3.
  • 4.
  • 5.
  • 6. LETKF on coarse grids : coarse grids to perform LETKF analysis and calculate ,  : use the interpolated weights to compute the analysis Ex: 11% analysis coverage To ensure zero mean of X a  Choose a linear interpolation scheme (bi-variate interpolation, Akima,1978)
  • 7.
  • 8.
  • 9. Weights from different analysis grid coverage Full Analysis 11% analysis grids 4% analysis grids 2% analysis grids Based on dynamical evolution of the ensemble perturbations for analysis pert.1 from background pert.1 Full Analysis 11% analysis grids 4% analysis grids 2% analysis grids for analysis pert.1 from background pert.4
  • 10. Analysis accuracy ( weight-interpolation vs. interment-interpolation )
  • 11. Analysis accuracy ( weight-interpolation vs. increment-interpolation ) 11% analysis-grid coverage
  • 12. Analysis increment ( weight-interpolation vs. increment-interpolation ) 50% analysis grids increment-interpolation (from full analysis) 11% analysis grids 4% analysis grids 2% analysis grids 11% analysis grids 4% analysis grids 2% analysis grids weight-interpolation Analysis increments are characterized by small scale features, related to local dynamic instability. Full Analysis
  • 13.