EM 397: Computational Grid Generation, Adaptation, and Solution Strategies
This course will begin with a brief discussion of the basic concepts of structured and unstructured grid generation. Grid refinement strategies are then introduced along with the error estimators and error indicators that are used to guide the refinement process. The idea of interweaving grid refinement with the solution iteration is also introduced. The last part of the course will cover selected topics on multilevel methods, domain decomposition, mesh redistribution, and moving grids.
EM 393N: Numerical Methods for Flow and Transport Problems
This course is intended to cover a wide range of topics including least-squares approximation of data, calculus of variations and Rayleigh-Ritz Global expansion, finite difference schemes, the transport theorem, nonlinear flow, finite elements, semi-discrete techniques, ODE integrators and others. Final grades in the class will be based on periodic homework assignments, paper presentations, midterm, final, and a project. More information is available on the syllabus.
- Fall 2000 Syllabus (download postcript version)
ASE 211: Engineering Computation
This course is designed to introduce the undergraduate engineer to the concepts, techniques, methods and algorithms fundamental to engineering computation. The role of computer simulation in engineering and scientific analysis and design is discussed. Basic mathematical and numerical models are introduced, using examples from structural analysis, heat transfer, aerodynamics and other areas of engineering science. We show how an application or design problem can be decomposed to modules and how these modules form part of an integrated simulation scheme. We introduce the student to a variety of common numerical procedures that constitute the basic modules of many larger simulation packages.