STUDY OF THE "POOR MAN'S NAVIER-STOKES" EQUATION TURBULENCE MODEL

Author

Stewart Andrew Bible, University of KentuckyFollow

Date Available

12-7-2011

Year of Publication

2003

Degree Name

Master of Science (MS)

Document Type

Thesis

College

Engineering

Department

Mechanical Engineering

First Advisor

Dr. James M. McDonough

Abstract

The work presented here is part of an ongoing effort to develop a highly accurate and numerically efficient turbulence simulation technique. The paper consists of four main parts, viz., the general discussion of the procedure known as Additive Turbulent Decomposition, the derivation of the "synthetic velocity" subgrid-scale model of the high wavenumber turbulent fluctuations necessary for its implementation, the numerical investigation of this model and a priori tests of said models physical validity. Through these investigations we have demonstrated that this procedure, coupled with the use of the "Poor Mans Navier-Stokes" equation subgrid-scale model, has the potential to be a faster, more accurate replacement of currently popular turbulence simulation techniques since: 1. The procedure is consistent with the direct solution of the Navier-Stokes equations if the subgrid-scale model is valid, i.e, the equations to be solved are never filtered, only solutions. 2. Model parameter values are "set" by their relationships to N.S. physics found from their derivation from the N.S. equation and can be calculated "on the fly" with the use of a local high-pass filtering of grid-scale results. 3. Preliminary studies of the PMNS equation model herein have shown it to be a computationally inexpensive and a priori valid model in its ability to reproduce high wavenumber fluctuations seen in an experimental turbulent flow.

Recommended Citation

Bible, Stewart Andrew, "STUDY OF THE "POOR MAN'S NAVIER-STOKES" EQUATION TURBULENCE MODEL" (2003). University of Kentucky Master's Theses. 310.
https://uknowledge.uky.edu/gradschool_theses/310