Accession Number : AD0743934

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

Descriptive Note : Final rept. 1 Dec 68-20 Nov 71,

Corporate Author : NORTHEASTERN UNIV BOSTON MASS DEPT OF MATHEMATICS

Personal Author(s) : Klein,Robert D. ; Mettauer,Jack C. ; Maglione,Vito P. ; Spiegel,Stanley L.

Report Date : 01 JAN 1972

Pagination or Media Count : 60

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)

Descriptors :   (*ATMOSPHERIC MOTION, MATHEMATICAL MODELS), EQUATIONS OF MOTION, DIFFERENCE EQUATIONS, COMPUTER PROGRAMS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, NUMERICAL ANALYSIS

Subject Categories : Meteorology

Distribution Statement : APPROVED FOR PUBLIC RELEASE