THE METHOD OF FUNCTIONALS IN TURBULENCE THEORY,
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1964
- Accession Number
- AD0607643
Entities
People
- Iwao Hosokawa
Organizations
- Brown University