Global Weather Modeling with Vector Spherical Harmonics

Abstract

The report presents the current status of work in the weather models, with a view toward climatological application. Vector Spherical Harmonics are reviewed in the context of solving partial differential equations in spherical coordinates. The basic equations governing global weather models are presented. Vector Spherical Harmonics are applied to these equations in spherical coordinates and it is shown how separation of variables is achieved in the sense that angular dependence is eliminated.

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Document Details

Document Type
Technical Report
Publication Date
Oct 11, 1972
Accession Number
AD0752569

Entities

People

  • Sven Kjorklund

Organizations

  • International Business Machines Corporation (Armonk, NY)

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Angular Momentum
  • Computational Science
  • Computer Programming
  • Computer Programs
  • Computers
  • Data Sets
  • Differential Equations
  • Equations
  • Grids
  • Language
  • Operating Systems
  • Partial Differential Equations
  • Spherical Harmonics
  • Stratified Fluids
  • Structured Programming
  • Weather Forecasting

Readers

  • Atmospheric Science/Meteorology
  • Calculus or Mathematical Analysis