On the Correlation Functions Associated with Polynomials of the Diffusion Operator

Abstract

Correlation functions (CFs) associated with the inverse background-error correlations (iBECs) represented by polynomials of the diffusion operator D are obtained analytically for the binomial approximations of the Gaussian BEC and in the general case of a quadratic polynomial of D. The respective analytical expressions for one-, two- and three-dimensional cases have two tuning parameters, which provide enough freedom in adjusting the CFs' shape to, experimental data. The polynomial coefficients of the corresponding iBEC operator are obtained in terms of these tuning parameters and may be useful in the design of the BEC models for variational data assimilation.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 2011
Accession Number
ADA555654

Entities

People

  • Max I. Yaremchuk
  • Scott Smith

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Assimilation
  • Bessel Functions
  • Binomials
  • Coefficients
  • Computational Science
  • Copyrights
  • Covariance
  • Diffusion
  • Experimental Data
  • Fluid Dynamics
  • Military Research
  • New York
  • Oceans
  • Polynomials
  • Statistical Analysis
  • Three Dimensional

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.