FRIDAY, February 23, 2007
Time: 1:00 PM
EDUC 210

Title: The Lattice-Boltzmann Equation: A Kinetic Method for CFD

Dr. Yan Peng
Old Dominion University

Kinetic methods have attracted much interest in CFD community recently. In this talk, I will discuss the reasons why we are interested in kinetic methods. Specifically, I will discuss in details about the lattice Boltzmann equation (LBE), which is a kinetic method for near incompressible flows. I will present the mathematical background of the LBE method and its boundary conditions, that is, the derivation of the LBE from the continuous Boltzmann equation. I will also discuss the "bounce-back" boundary conditions and the immersed boundary method. We will show a number of numerical simulations to validate the LBE method, including (1) isothermal incompressible flows, (2) thermal incompressible flows, and (3) turbulent flows. Finally, I will discuss the feasibility of using the LBE method for bio-inspired flows which have potentials for applications such as micro unmanned aerial vehicles (MUAV).