报告时间：2020年12月11号下午14：50

报告地点：数计院会议室

报告题目：A multiple-relaxation-time lattice Boltzmann model based four-level finite-difference scheme for one-dimensional diffusion equation

报告人：华中科技大学柴振华教授

邀请人：杨旭光

报告人简介：柴振华，博士，教授，博士生导师，华中科技大学数学与统计学院副院长。主要从事介观格子Boltzmann方法、DUGKS方法及应用方面的相关研究，主持国家自然科学基金项目3项、博士后基金及特别资助各1项、湖北省自然科学基金1项，参与国家自然科学基金项目3项、国家重点基础研究发展规划(973)项目专题2项、国家重点研发计划“政府间国际科技创新合作”重点专项1项（三个任务负责人之一）、军委科技委项目1项。发表学术论文100余篇，SCI收录90余篇（ESI高被引论文2篇，Applied Mathematical Modelling杂志高被引论文1篇），SCI引用1800余次，SCI他引1400余次，H-index=25（数据来源于Web of Science）。

报告摘要：In this work, we will first present a multiple-relaxation-time lattice Boltzmann (MRT-LB) model for one-dimensional diffusion equation where the D1Q3 lattice structure (three discrete velocities in one-dimensional space) is considered. Then through the theoretical analysis, we obtain an explicit four-level finite-difference scheme from this MRT-LB method. The results show that through adjusting the weight coefficient and the relaxation parameters corresponding to the first and second moments, the four-level difference scheme not only has a sixth-order accuracy in space, but also is unconditionally stable. Finally, we also test the four-level sixth-order finite-difference scheme through some numerical simulations, and find that the numerical results are consistent with our theoretical analysis.