# Coursework

I try to use learning management systems (LMS) to organize the content of my courses as well as grading assessments. I have experience with the Blackboard and Moodle LMS environments. My preference is Moodle as it is open-source and provides much more control. Guest access to my Moodle courses is available per request.

Some course websites I created as a graduate student are archived below.

## ES 551, Finite Element Modeling, Fall 2004, UTK

... a graduate course I took at the University of Tennessee, Knoxville. Students may wish to take a look at the kinds of advanced physics problems that numerical methods can model.

Modern computational theory applied to conservation principles across the engineering sciences. Weak forms, extremization, boundary conditions, discrete implementation via finite element, finite difference, finite volume methods. Asymptotic error estimates, accuracy, convergence, stability. Linear problem applications in 1, 2 and 3 dimensions, extensions to non-linearity, non-smooth data, unsteady, spectral analysis techniques, coupled equation systems. Computer projects in heat transfer, structural mechanics, mechanical vibrations, fluid mechanics, heat/mass transport.

## ES 552, Computational Fluid Dynamics, Spring 2005, UTK

... a graduate course I took at the University of Tennessee, Knoxville. Students may wish to take a look at the kinds of advanced physics problems that numerical methods can model.

Modern approximation theory applied to incompressible-thermal flows. Navier-Stokes equations, well-posedness, boundary conditions, non-dimensional groups, conjugate heat transfer, algebraic/differential closure models for turbulence. Weak forms, extremization, finite element/finite volume discrete implementations, a priori error estimates, accuracy, convergence, stability. Numerical linear algebra, sparse matrix methods. Applications in boundary layers, stream function-vorticity, pressure projection, free-surface, pseudo-compressibility completion theories. Solution-adaptive h- and r-meshing, optimal solution estimates. Augmentation theories for stability, numericaldiffusion, Fourier spectral analyses, optimal forms. Computer projects.

- Lab 1: A Navier-Stokes Problem Statement of My Interest
- Lab 2: Temporal and spatial discretization
- Lab 3: 2D BL, Laminar and Turbulent
- Lab 4: Driven Cavity Problem
- Lab 5: Thermal Cavity, Quasi and Newton Algorithm
- Lab 6: Continuity Constraint Algorithm
- Lab 7: Duct Problem, TWS Algorithm
- Lab 8: Unsteady Convection and Diffusion, GWS, TWS and FVS