讲座主题：2D vorticity-stream function formulation and its application in vortex merging

专家姓名：张磊

工作单位：黑龙江大学

讲座时间：2021年11月23日 14:00-15:00

讲座地点：腾讯会议：209237945

主办单位：9728太阳集团数学与信息科学学院

内容摘要：

We are concerned with the development of numerical research for the 2D vorticity-stream function formulation and its application in vortex merging at high Reynolds numbers. A novel numerical method for solving the vorticity-stream function formulation of the Navier-Stokes equations at high Reynolds number is presented. A verification algorithm that has the analytical solution is designed to demonstrate the feasibility and effectiveness of the proposed scheme. Furthermore, the proposed scheme is applied to study the vortex merging problem. Ample numerical experiments are performed to show some essential features of the merging of multiple vortices at high Reynolds numbers. Meanwhile, considering the importance of the inversion for the initial position of the vorticity field, we present an iteration algorithm for the reconstruction of the initial position parameters.

主讲人介绍：

现任黑龙江大学教授、硕导，黑龙江省数学会理事、黑龙江省工业与应用数学会理事。2013年毕业于吉林大学数学研究所，获得理学博士学位。随后在浙江大学数学系从事博士后研究工作。2018年在美国普渡大学做访问学者一年。研究方向为数学物理反问题。先后主持国家自然科学基金面上、青年项目等。在Inverse Problems (high light article)、Journal of Computational Physics、SIAM Journal on Imaging Sciences等学术期刊上发表学术论文二十余篇。