走向现代数学学术报告 - 赵进特聘副研究员（No. 558）

报告题目：Vectorial LBM and Corresponding Boundary Treatments for the Incompressible Navier-Stokes Equations

报 告 人：赵进 特聘副研究员（首都师范大学）

报告时间：2022年11月29日 上午9：30

腾讯会议ID：588990168

报告摘要：This talk is about a vectorial LBM and the corresponding boundary treatments for the incompressible Navier-Stokes equations. To begin with, we introduce the discrete-velocity vector-BGK models and give the related models based on numerical methods. Then, we propose a vector-type bounce-back boundary scheme for the vectorial LBM, and analyze the numerical stability of the new boundary scheme by using a subtle structural property of the models. Furthermore, we base on the new scheme and devise a family of parameterized second-order boundary schemes with accuracy independent of the location of the boundary. The accuracy and stability of the boundary schemes above are validated via numerical experiments with both straight and curved boundaries.

报告人简介: 赵进，首都师范大学交叉科学研究院特聘副研究员。博士毕业于中国工程物理研究院，曾在北京大学数学科学学院从事博士后研究工作，合作导师是张平文教授。

中国博士后面上一等资助获得者。研究方向主要集中在数值方法、数学建模和机器学习，包括将机器学习应用到偏微分方程数值解和数学建模中去。相关研究成果已经发表在 SISC, JCP, PRE, Int. J. Heat Mass Transf.等期刊。