Title: Multiscale Modeling and Simulation of Gaseous Microflows

Time:16:00. Wednesday June 19, 2019  

Location: Conference Room 911 Qiyun Building

Abstract：We study gaseous flows in micro-scales by using molecular dynamics (MD), kinetic equation, and hydrodynamic equations, across micro-, meso-, and macro-scopic scales. First, we solve the linearized Boltzmann equation in a wide range of Knudsen number by using an efficient high-order collocation method [1,2]. We obtain accurate solutions of the singular integral equation derived from the linearized BGK equation. Based the accurate solutions of the integral equation, we construct various approximated solutions which can be modeled by macroscopic equations [1,2]. We extend the approximated model for molecular flows including van der Waals interaction between gas molecules and walls, which can only be modeled by MD. We use Couette flow in two-dimensions as the specific example to illustrate our ideas.

Biography:Li-Shi Luo is currently the holder of Richard F. Barry Endowed Professor of Mathematics in Old Dominion University (ODU), Virginia, USA. He obtained his B.Eng. in Electrical Engineering from Fuzhou University, China, 1982; M.Sc. from Western University, Canada, and PhD from Georgia Institute of Technology, USA, in 1986 and 1993, respectively. Before joining ODU in 2004, He worked in Los Alamos National Laboratories, Worcester Polytechnic Institute, ICASE at NASA Langley Research Center, and National Institute of Aerospace. He is a fellow of American Physical Society (APS) and has received visiting fellowships from numerous institutes (e.g., CNRC, France; Cambridge University, UK; The Japan Society for the Promotion of Science; National University of Singapore, Singapore). His main research interests include non-equilibrium statistical mechanics and kinetic theory, Boltzmann equation and its solutions, non-equilibrium flows, complex fluids, computational fluid dynamics, and scientific computing.