Yan Peng, Old Dominion University


The Lattice Boltzmann Equation: A Kinetic Method for CFD


Abstract: Kinetic methods have attracted much interest in CFD community recently. In this presentation, 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, that is, the derivation of the LBE from the continuous Boltzmann equation. 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).