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University of Kentucky

Theses/Dissertations

2003

Fluid Dynamics|Turbulence|Additive Turbulent Decomposition|Poor Man's Navier-Stokes Equation|Large Eddy Simulation|Discrete Dynamical Systems

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Study Of The "Poor Man's Navier-Stokes" Equation Turbulence Model, Stewart Andrew Bible Jan 2003

Study Of The "Poor Man's Navier-Stokes" Equation Turbulence Model, Stewart Andrew Bible

University of Kentucky Master's Theses

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 …