Analytic Solution of Coupled Mode Equations by Computer

Abstract

The author uses automated symbolic manipulation to generate approximate solutions to the prognostic equations of meteorology. These equations are treated in the form that would arise by means of modal analysis and truncation. Consequently the equations take the form of coupled non-linear first-order ordinary differential equations; the number of such equations may be very large if many modes are included in the analysis. The work was performed in conjunction with an extensive program to investigate climate prediction and modification. Also of interest is the long term behavior of the atmosphere under the influence of the driving 'force' of the sun.

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Document Details

Document Type
Technical Report
Publication Date
Dec 07, 1973
Accession Number
AD0772828

Entities

People

  • Bernard Rosen

Organizations

  • Stevens Institute of Technology

Tags

Communities of Interest

  • Autonomy
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Base Flow
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Frequency
  • Instability
  • Military Research
  • Oscillation
  • Oscillators
  • Perturbation Theory
  • Perturbations
  • Physics
  • Physics Laboratories
  • Saturation
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science/Meteorology
  • Calculus or Mathematical Analysis
  • Structural Dynamics.