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Center for Nonlinear Studies |
The lattice Boltzmann method (LBM) has traditionally been developed as a derivative of the somewhat simplistic fluid model known as the Lattice Gas Cellular Automaton. The recently identified kinetic theory connection and reformulation of LB as equivalence to a moment solution to the BGK equation has provided a sound theoretical framework for understanding and analyzing LBM models. Many of the old restrictions of LBM, e.g., limitations in simulating thermodynamic effects, compressible flows, and flows with high Knudsen numbers, have now been lifted and pathways to new application domains paved. In this presentation, I shall give a brief summary of the kinetic theory approach to the LBM and discuss the prospect of LBM as a discrete-velocity kinetic theory method, e.g., its applications in simulations of compressible flows and high-Knudsen number flows beyond the applicable domain of the Navier-Stokes equations.
Short bio: Xiaowen Shan is a well-known modeling expert in lattice Boltzmann community. He received his PhD in Physics from Dartmouth College in 1991. After that, he went to work in LANL at the CNLS and the T-13 complex system group until 1998 when he joined Microsoft Corp. as a software engineer. At LANL, Xiaowen's research was mainly on the development of lattice Boltzmann method and direct numerical simulation of turbulence on parallel computers. His work on lattice Boltzmann models for non-ideal gases has been widely used to solve many multiphase flow problems in science and engineering. His work on the theoretical foundation of the lattice Boltzmann method has led to the development of lattice Boltzmann models for compressible flows and high-Knudsen number flows. In 2005, Xiaowen joined Exa Corp., a lattice Boltzmann based CFD software vendor as the Director of Advanced Physics Algorithms.
Host: Huidan Yu, CCS-2