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Title: Statistical study of approximations to two dimensional inviscid turbulence

Abstract

A numerical technique is developed for studying the ergodic and mixing hypotheses for the dynamical systems arising from the truncated Fourier transformed two-dimensional inviscid Navier-Stokes equations. This method has the advantage of exactly conserving energy and entropy (i.e., total vorticity) in the inviscid case except for numerical error in solving the ordinary differential equations. The development of the mathematical model as an approximation to a real physical (turbulent) flow and the numerical results obtained are discussed.

Authors:
Publication Date:
Research Org.:
California Univ., Berkeley (USA). Lawrence Berkeley Lab.
OSTI Identifier:
5304401
Report Number(s):
LBL-6708
DOE Contract Number:
W-7405-ENG-48
Resource Type:
Technical Report
Resource Relation:
Other Information: Thesis
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; TURBULENT FLOW; MATHEMATICAL MODELS; TWO-DIMENSIONAL CALCULATIONS; FLUID FLOW; MIXING; NAVIER-STOKES EQUATION; VORTICES; DIFFERENTIAL EQUATIONS; EQUATIONS; 420400* - Engineering- Heat Transfer & Fluid Flow

Citation Formats

Glaz, H.M. Statistical study of approximations to two dimensional inviscid turbulence. United States: N. p., 1977. Web. doi:10.2172/5304401.
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Glaz, H.M. Statistical study of approximations to two dimensional inviscid turbulence. United States. doi:10.2172/5304401.
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Glaz, H.M. Thu . "Statistical study of approximations to two dimensional inviscid turbulence". United States. doi:10.2172/5304401. https://www.osti.gov/servlets/purl/5304401.
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@article{osti_5304401,
title = {Statistical study of approximations to two dimensional inviscid turbulence},
author = {Glaz, H.M.},
abstractNote = {A numerical technique is developed for studying the ergodic and mixing hypotheses for the dynamical systems arising from the truncated Fourier transformed two-dimensional inviscid Navier-Stokes equations. This method has the advantage of exactly conserving energy and entropy (i.e., total vorticity) in the inviscid case except for numerical error in solving the ordinary differential equations. The development of the mathematical model as an approximation to a real physical (turbulent) flow and the numerical results obtained are discussed.},
doi = {10.2172/5304401},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Sep 01 00:00:00 EDT 1977},
month = {Thu Sep 01 00:00:00 EDT 1977}
}
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Technical Report:
View Technical Report (3.44 MB)
DOI:  10.2172/5304401
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