Representation of Topography in Spectral Models,

Abstract

Various ways of representing topography that is a part of a global spectral model have been examined using the notions of error-in-synthesis and error-in-reproduction in measuring accuracy and fidelity. The trapezoidal and Gauss-Legendre quadratures are employed in conjuction with different truncations in the numerical computation of the transformations. The results have led to the following conclusions: (1) The model terrain is best defined by the set of spectral coefficients in a truncation range tahat is commensurate with the model resolution; (2) The model terrain in the real domain should be defined on the Gaussian latitudes as the transform of the spectral coefficients using the Gauss-Legendre quadrature; (3) Smoothing by aspectral truncation alone is not suffiecient to insure the accuracy either in synthesis or in reproduction. Originator-supplied keyword: Global circulation model.

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Document Details

Document Type
Technical Report
Publication Date
Sep 23, 1985
Accession Number
ADA159917

Entities

People

  • Henry Yang

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Analytic Functions
  • Coefficients
  • Computations
  • Data Sets
  • Errors
  • Grids
  • Grids (Coordinates)
  • High Resolution
  • Latitude
  • Numbers
  • Reliability
  • Security
  • Topography
  • Truncation
  • Weather Forecasting

Readers

  • Approximation Theory.
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers