报告题目：Multiple-distribution-function lattice Boltzmann method for convection-diffusion-system based incompressible Navier-Stokes equations
时 间：2021年9月30日（星期四）上午9：00
地 点：腾讯会议（会议号：911 650 796）
主 办：数学与统计学院, 福建省分析数学及应用重点实验室、福建省应用数学中心（福建师范大学）、福建师范大学数学研究中心
参加对象：感兴趣的老师和研究生
报告摘要：In this paper, a multiple-distribution-function lattice Boltzmann method (MDF-LBM) with multiple-relaxation-time model is proposed for incompressible Navier-Stokes equations (NSEs) which are considered as the coupled convection-diffusion equations (CDEs). Through direct Taylor expansion analysis, we show that the Navier-Stokes equations can be recovered correctly from the present MDF-LBM, and additionally, it is also found that the velocity and pressure can be directly computed through the zero and first-order moments of distribution function. Then in the framework of present MDF-LBM, we develop a locally computational scheme for the velocity gradient where the first-order moment of the non-equilibrium distribution is used, this scheme is also extended to calculate the velocity divergence, strain rate tensor, shear stress and vorticity. Finally, we also conduct some simulations to test the MDF-LBM, and find that the numerical results not only agree with some available analytical and numerical solutions, but also have a second-order convergence rate in space.
报告人简介：柴振华，博士，华中科技大学数学与统计学院教授，博士生导师，华中卓越学者，教育部“长江学者奖励计划”青年长江学者。近年来，主要从事复杂系统的格子Boltzmann方法研究。至今共主持国家自然科学基金三项、中国博士后基金及特别资助各一项、湖北省自然科学基金一项，参与完成国家自然科学基金项目三项、国家重点基础研究发展规划(973)项目专题两项、国家重点研发计划一项。在SIAM J. Sci. Comput., Phys. Rev. E, Phys. Fluids等国内外权威学术期刊发表SCI论文100余篇，SCI引用2400余次，H指数29。