报告人: 杨旭光(湖南第一师范学院)

邀请人：柴振华

报告时间：2021年4月17日(星期六)15:00-17:00

报告地点：科技楼(南楼)702室

报告题目：A novel lattice Boltzmann model for fourth order nonlinear partial differential equations

报告摘要：In this work, a novel lattice Boltzmann (LB) equation model is proposed to solve the fourth order nonlinear partial differential equation (NPDE). Different from existing LB models, a source distribution function is introduced to remove some unwanted terms in the nonlinear part of the equation. Hereby, the equilibrium distribution function is designed to follow the rule of Chapman-Enskog (C-E) analysis. Through the C-E procedure, the fourth order NPDE can be recovered perfectly from the proposed LB model. A series of numerical experiments have been carried out to solve some widely studied fourth order NPDEs, including the Kuramoto-Sivashinsky equation, Cahn-Hilliard equation with double-well potential and a fourth order diffuse interface model with Peng-Robinson equation of state. Numerical results show that the performance of the present LB model is much better than other existing LB models.

报告人简介：杨旭光，副教授，湖南第一师范学院数学与计算科学学院，2015年博士毕业于申博sunbet官网计算数学专业。2016年获香港理工大学博士后资助项目，在香港理工大学应用数学系从事两年博士后研究工作。主要研究方向为偏微分方程数值解和计算流体力学中的高性能数值方法。已在《Physical Review E》、《Journal of Scientific Computing》等杂志发表学术论文二十余篇。主持国家自然科学基金项目两项，湖南省自然科学基金项目两项。