A THREE-LEVEL NONLINEAR PREDICTION MODEL IN SPHERICAL COORDINATES,

Abstract

This paper applies theoretical results of works by Blinova and Chu Yung-t'i to formulate a three-level nonlinear prediction model in spherical coordinates to assess the effect of topography on the prediction of the isobaric field, the working levels being 1000, 500 and 300 mb. The auxiliary function L of the perturbation source function is computed from the contour fields at 1000, 700, 500, 300 and 100 mb by means of a system of localized rectangular coordinates. When t > 0, the L-field and the contour field are predicted 'in parallel' by a Eulerian method. An interpolation formula for the evaluation of the influence function (Green's function) and an approximation of the function in the neighborhood of a singular point are suggested. The proposed model has been programmed for computation on the large high-speed electronic computer (BESM-1) of the USSR Academy of Sciences and the numerical output analyzed. The results show that the proposed model is suitable for the hemispherical prognoses of the flow pattern as well as the surface pressure field for more than 24 hours. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1961
Accession Number
AD0642402

Entities

People

  • Chu Yung-t'i

Organizations

  • Emmanuel College

Tags

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Computations
  • Computers
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Perturbations
  • Test And Evaluation
  • Topography

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.

Technology Areas

  • Microelectronics