Certain Finite Difference Methods for the Solution of Large Scale Circulation Problems.

Abstract

Program environments suitable for the investigation of a large number of different grid systems and algorithms relevant for the solution of large scale meteorological circulation problems are presented. One of them employs a mixed grid system to solve the barotropic problem. Inconsistencies arising from linear interpolation between the grids followed by numerical differentiation are examined. Also, a spherical grid system with flexibility of definition on the globe is described and the relationship necessary for its use in a finite differencing scheme are developed. Additionally, a program is presented which is useful for calculating the parameters needed for the numerical evaluation of arbitrary differential operators using information from arbitrarily selected grid points. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD0743934

Entities

People

  • Jack C. Mettauer
  • Robert D. Klein
  • Stanley L. Spiegel
  • Vito P. Maglione

Organizations

  • Northeastern University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Biological Phenomena
  • Ecological And Environmental Phenomena
  • Environment
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Resilience
  • Test And Evaluation

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)