Accession Number : AD0607643

Title :   THE METHOD OF FUNCTIONALS IN TURBULENCE THEORY,

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I

Personal Author(s) : Hosokawa,Iwao

Report Date : MAY 1964

Pagination or Media Count : 40

Abstract : The paper consists of two parts. Part I deals with a formulation of the generalized characteristic functional for random fields. This formulation is a generalization of the theory of Hopf so as to include space- as well as time-correlations of the fields. At the same time, it is shown that the Gaussian functional solution can exist also for our generalized characteristic functional as a counter part of Hopf's solution for incompressible, inviscid Navier-Stokes turbulence. In Part II a general solution is constructed by superposition of the particular solution, slightly modified from what has been found in Part I. Accordingly, the expression for the solution is in terms of a functional integration.

Descriptors :   (*TURBULENCE, FUNCTIONS(MATHEMATICS)), (*FUNCTIONS(MATHEMATICS), TURBULENCE), INCOMPRESSIBLE FLOW, MATHEMATICAL ANALYSIS, STATISTICAL PROCESSES, PROBABILITY, EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, STOCHASTIC PROCESSES, FOURIER ANALYSIS, BOUNDARY LAYER, NUMERICAL INTEGRATION, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE