MEEG 867-012
Lattice Boltzmann Approach for Complex Flows (3
credits)
Spring 2004
Instructor: Dr. Lian-Ping Wang, Spencer
207, 831-8160
lwang@me.udel.edu
Office Hours: Mon & Wed 3:00PM 5:00PM or by appointment
Meeting Time and Place: Tues & Thurs 12:30PM1:45PM,
316 Gore Hall
Course Description: Introduction to lattice Boltzmann
equation and its applications as a numerical approach to single and
multiple-phase flows. Relationships between microscopic operation rules and
macroscopic differential equations. Treatment of complex boundary conditions
and multiscale fluid-fluid and fluid-particle interfaces. Examples of
lattice-Boltzmann computer simulations.
Text: ``The Lattice Boltzmann Equation for Fluid Dynamics and
Beyond, By Sauro Succi, 2001, 288
pages, Clarendon Press, Oxford. IBSN 0 19 850398 9
Course structure: The course will meet with the usual lecture
format. Five homework sets will be assigned, graded and returned.
During the fifth week, each student will be assigned an article to be
reviewed. The student will lead a 30-minute class discussion on the
material and will provide the instructor with a written review. During the 10th week a computer project will
be assigned which will be due at the end of the course. The results will
be presented to the class during the final week as well as in a final written
report submitted to the instructor. A midterm exam will be given.
There will be no final exam.
Topics to be covered: Kinetic theory, lattice gas cellular automata, lattice BGK models, thermal lattice Boltzmann models, multiphase lattice Boltzmann models, boundary conditions, numerical instability, applications to turbulent flow and multiphase flows, and parallel implementation.
Grading:
Homework problems 30%
Midterm exam
20%
Article review
10%
Computer
project
30%
Class discussions 10%