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
|
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.
Via the top left hotlink nest access:
Course Calendar: correlates lecture, text and reference content with
Courseware: lecture support files containing color graphics keyed to
Problems: assignments to firm theory with coding practice organization
Video: topical lectures streamed to your PC
Home: return to this page
Academics interested in organizing a similar text-based course can gain access to the Problem Experience Archive by contacting the author.
|