講座主題：2D vorticity-stream function formulation and its application in vortex merging
專家姓名：張磊
工作單位：黑龍江大學
講座時間：2021年11月23日 14:00-15:00
講座地點：騰訊會議：209237945
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
現任黑龍江大學教授、碩導，黑龍江省數學會理事、黑龍江省工業與應用數學會理事。2013年畢業于吉林大學數學研究所，獲得理學博士學位。隨后在浙江大學數學系從事博士后研究工作。2018年在美國普渡大學做訪問學者一年。研究方向為數學物理反問題。先后主持國家自然科學基金面上、青年項目等。在Inverse Problems (high light article)、Journal of Computational Physics、SIAM Journal on Imaging Sciences等學術期刊上發表學術論文二十余篇。
