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Instructor:
A. J. Baker, PhD
Professor Emeritus
University of Tennessee
e-mail: ajbaker@utk.edu

Class Meetings:
Anytime! - Online!

Text:
Optimal MODIFIED
CONTINUOUS Galerkin CFD,
John Wiley and Sons (2014)


References:
Viscous Fluid Flow, White (19XX)
Turbulence Modeling for CFD, 3rd ed.,  Wilcox (2006)
Turbulent Flows, Pope (2000)
Large Eddy Simulation of Turbulent Incompressible Flows, John (2004)
Analysis of Turbulent Boundary Layers, Cebeci & Smith, (1974)
Computational Fluid Mechanics & Heat Transfer, Tannehill, Anderson & Pletcher (1997) 

Course Grading
Problem Assignments 2/3
Final Exam 1/3

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  This website presents an advanced level graduate exposition on theorizations developed to characterize the continuum fluid dynamics phenomenon of turbulence. Course content transitions analytical theory musings to computable weak form algorithm implementation of closure options for identified a priori unknown tensor/vector fields.
    Weak form CFD algorithm theorization is completed in the continuum with spatial discretization choice finite element (FE) trial space basis. This enables precise translation to code of the numerous explicit nonlinearities pervading time averaged and/or space filtered Navier-Stokes PDE systems.
    Website terminal courseware files, absent lectures, detail with full color graphics text Chapter 9 documentation of analytical theory prediction of the tensor/vector quadruples resident in rigorously space filtered Navier-Stokes. Theory state variable is ordered in powers of gaussian filter measure, leading to harmonic PDE system quantification of resolved-unresolved scale interaction tensors/vectors convolution identified. Theory requisite subfilter scale (SFS) tensor/vector functions, dissipative at the unresolved scale threshold, complete the state variable.
    The theory contains no Reynolds number assumption. The mPDE system algorithm is derived well-posed on bounded domains via differential definition weak form couplings with approximate deconvolution theory to identify non-homogeneous Dirichlet BCs. A key validation is prediction of laminar-turbulent wall jet transition absent any modeling component.

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