
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 timecorrelations 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 NavierStokes 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