报告题目：A Novel Lattice Boltzmann Model for Fourth Order Nonlinear Partial Differential Equations

报告时间：2021-06-03  09:00 - 10:00 

报告人：乔中华 教授 香港理工大学

会议地点：腾讯线上会议  ID：660 700 378

主办单位：国家天元数学中部中心  武汉大学数学与统计学院

Abstract : 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.