Accession Number : AD0666604

Title :   NUMERICAL STUDY OF THE NAVIER STOKES EQUATIONS IN THREE DIMENSIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Jain,Padam

Report Date : MAR 1967

Pagination or Media Count : 88

Abstract : To investigate the process of energy transfer from large eddies to smaller ones at high Reynolds Numbers, a finite difference method is used to obtain the periodic solutions of the Navier-Stokes equations in three dimensions 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. A numerical technique for the solution of Poisson's equation for the three dimensional problem is described and used for the solution of the problem. Mean kinetic energy and mean square vorticity are calculated and it is found that the numerical method provides estimates of these quantities up to a time of the order of 2. The structure of the turbulent flow is investigated by a study of the velocity correlation function R sub ij. (Author)

Descriptors :   (*NAVIER STOKES EQUATIONS, NUMERICAL ANALYSIS), (*TURBULENCE, BOUNDARY VALUE PROBLEMS), FLUID FLOW, REYNOLDS NUMBER, BOUNDARY VALUE PROBLEMS, STATISTICAL FUNCTIONS, PERIODIC VARIATIONS, OPERATORS(MATHEMATICS)

Subject Categories : Statistics and Probability
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE