Lattice Boltzmann Equation: Its Mathematical Essence and Key Properties

Speaker: Li-Shi Luo, Old Dominion University
March 13, 2019

Presentation

Abstract

This presentation focuses on the mathematical origin and properties of the Lattice Boltzmann equation (LBE)—a solution method for the nearly incompressible Navier-Stokes equations (NSE). Unlike the traditional or conventional methods in CFD which are based on direct discretizations of NSE (i.e., finite difference, finite volume, finite element, spectral, and discontinuous Galerkin methods), the LBE is derived from the Boltzmann equation with a linearized collision term. Thus the LBE is a kinetic scheme (for it is derived from kinetic equation) as opposed a usual CFD scheme. However, the LBE can also be explicitly related to central finite-difference schemes with artificial compressibility method. Some numerical results obtained with the LBE will also be mentioned.

Biography

Li-Shi Luo obtained his B.Eng. (Electricial Engineering) from Fuzhou University, China in 1982, his M.Sc. in Physics from the University of Western Ontario, Canada in 1986, and his Ph.D. in Physics from the Georgia Institute of Technology, USA in 1993. He completed this Ph.D. thesis work at Los Alamos National Laboratory from 1989 to 1993. Before he joined the faculty in the Department of Math. & Stat. at Old Dominion University in 2004, he worked at Worcester Polytechnic Institute, Los Alamos National Laboratory, ICASE at NASA's Langley Research Center, and the National Institute of Aerospace. He is currently the Richard F. Barry Jr. Distinguished Endowed Professor in Mathematics and Eminent Scholar at Old Dominion University, and the Fellow of Division of Fluid Dynamics of American Physical Society. His research interests have been kinetic theory and non-equilibrium statistical mechanics, complex fluids, and kinetic methods for CFD.

Seminar Participation

Attending In Person

For select seminars, you may wish to attend in-person if you are in the vicinity of NASA Ames Research Center. These AMS seminars are held in Building N258 in Room 127, just off the front lobby. Sessions available to attend in-person will be indicated in the announcement information. In-person participants without NASA badges will need a valid visitor badge (US citizenship or permanent residency is required) to enter the facility.

Join Us Online

To attend an AMS seminar, click on the Microsoft Teams link in the seminar description. You can connect through the desktop Teams App if you have it, or you can select "Watch on the Web Instead" to enter the meeting as a guest. Please ensure that you've muted your microphone in Teams before you select "Join Now" to enter the meeting lobby.