A theoretical description of inhomogeneous turbulence
Abstract
This is the final report of a threeyear, LaboratoryDirected Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). In this LDRD, we have developed a highly compact and descriptive formalism that allows us to broach the theoretically formidable morass of inhomogeneous turbulence. Our formalism has two novel aspects: (a) an adaptation of helicity basis functions to represent an arbitrary incompressible channel flow and (b) the invocation of a hypothesis of random phase. A result of this compact formalism is that the mathematical description of inhomogeneous turbulence looks much like that of homogeneous turbulenceat the moment, the most rigorously explored terrain in turbulence research. As a result, we can explore the effect of boundaries on such important quantities as the gradients of mean flow, mean pressure, triplevelocity correlations and pressure velocity correlations, all of which vanish under the conventional, but artificial, assumption that the turbulence is statistically spatially uniform. Under suitable conditions, we have predicted that a mean flow gradient can develop even when none is initially present.
 Authors:

 and others
 Publication Date:
 Research Org.:
 Los Alamos National Lab., NM (US)
 Sponsoring Org.:
 US Department of Energy (US)
 OSTI Identifier:
 768978
 Report Number(s):
 LAUR001997
TRN: US0100682
 DOE Contract Number:
 W7405ENG36
 Resource Type:
 Technical Report
 Resource Relation:
 Other Information: PBD: 1 Mar 2000
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; HELICITY; HYPOTHESIS; LANL; TURBULENCE; VELOCITY
Citation Formats
Turner, L. A theoretical description of inhomogeneous turbulence. United States: N. p., 2000.
Web. doi:10.2172/768978.
Turner, L. A theoretical description of inhomogeneous turbulence. United States. doi:10.2172/768978.
Turner, L. Wed .
"A theoretical description of inhomogeneous turbulence". United States. doi:10.2172/768978. https://www.osti.gov/servlets/purl/768978.
@article{osti_768978,
title = {A theoretical description of inhomogeneous turbulence},
author = {Turner, L},
abstractNote = {This is the final report of a threeyear, LaboratoryDirected Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). In this LDRD, we have developed a highly compact and descriptive formalism that allows us to broach the theoretically formidable morass of inhomogeneous turbulence. Our formalism has two novel aspects: (a) an adaptation of helicity basis functions to represent an arbitrary incompressible channel flow and (b) the invocation of a hypothesis of random phase. A result of this compact formalism is that the mathematical description of inhomogeneous turbulence looks much like that of homogeneous turbulenceat the moment, the most rigorously explored terrain in turbulence research. As a result, we can explore the effect of boundaries on such important quantities as the gradients of mean flow, mean pressure, triplevelocity correlations and pressure velocity correlations, all of which vanish under the conventional, but artificial, assumption that the turbulence is statistically spatially uniform. Under suitable conditions, we have predicted that a mean flow gradient can develop even when none is initially present.},
doi = {10.2172/768978},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2000},
month = {3}
}