The Analysis and Simulation of Compressible Turbulence
Abstract
This paper considers turbulent flows at low turbulent Mach numbers. Contrary to the general belief that such flows are almost incompressible, (i.e. the divergence of the velocity field remains small for all times), it is shown that even if the divergence of the initial velocity field is negligibly small, it can grow rapidly on a non-dimensional time scale which is the inverse of the fluctuating Mach number. An asymptotic theory which enables one to obtain a description of the flow in terms of its divergence-free and vorticity-free components has been developed to solve the initial-value problem. As a result, the various types of low Mach number turbulent regimes have been classified with respect to the initial conditions. Formulae are derived that accurately predict the level of compressibility after the initial transients have disappeared. These results are verified by extensive direct numerical simulations of isotropic turbulence. (JHD)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1990
- Accession Number
- ADA227100
Entities
People
- Gordon Erlebacher
- H. O. Kreiss
- M. Y. Hussaini
- Suman Sarkar