Accession Number : AD0607807

Title :   NUMERICAL STUDY OF THE NAVIER-STOKES EQUATIONS FOR THE PRODUCTION OF SMALL EDDIES FROM LARGE ONES,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Jain,P. C.

Report Date : JUL 1964

Pagination or Media Count : 44

Abstract : To investigate the process of grinding down of large eddies into smaller ones at high Reynolds Numbers, a finite difference method is used to obtain the periodic solutions of the Navier-Stokes Equations numerically when the initial motion is assumed to be v sub 1 = cos x sin y sin z; v sub 2 = - sin x cos y sin z; v sub 3 = 0. Mean square kinetic energy and mean square vorticity are calculated and it is found that the numerical method provides estimates of these quantities up to t = 1.90 at R = 200 and up to t = 1.70 at R = 1000. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, MOTION), (*TURBULENCE, PARTIAL DIFFERENTIAL EQUATIONS), VORTICES, REYNOLDS NUMBER, NUMERICAL ANALYSIS, NUMERICAL METHODS AND PROCEDURES, FLUID FLOW, MATHEMATICAL MODELS, DIFFERENCE EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE