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Title: Large Eddy Simulations of Separated Flows
Authors: Gautam, J. P.
Keywords: Mechanical Engineering
Issue Date: 2016
Abstract: Turbulent Flows along with cardinal underlying concepts have been studied and mentioned extensively throughout the term. The concepts mentioned in the report are in light of Large Eddy Simulations. Analysis and Simulation of Turbulent flows has been of prime importance throughout the industries. They are performed for various scales ranging from flow through a channel to flow through an aircraft. In this report LES has been introduced theoretically with results on flow through a channel at the later part of the report. Kolmogorov Hypothesis by A. N. Kolmogorov has been stated briefly with references. LES is largely influenced by these hypotheses. The concept of isotropy and similarity of small scale eddies forms the basis of LES. Reynolds Averaged Navier-Stokes Equations (RANS) have as well been derived mathematically Navier-Stokes Equation for quick reference as a large number of simulation even today are often performed on RANS. A general guideline for Direct Numerical Simulations have as well been stated along with computational cost and its disadvantages. LES uses filtering operation to derive its equation that serve as its backbone. A general look into the filtering operation has been made along with direct application of Box filter. Subgrid scale variable and their usage in solution of LES has almost been absorbed in the method itself. Closure of these equations have been made to clarify the whole procedure as well as convergence of LES. Subsequently, the report caters to the germane point of the work. Simulations have been performed for cases in groups. The First group deals with Back step channel flow. Laminar back step flow without LES, Turbulent back step flow without LES and Turbulent back step flow with LES have been run. In the subsequent chapter, a specific example of the back step channel case used in [Le, Moin et. al., 1998] has been discussed in great detail to establish vaidity of the results.
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