Lecturer:Li Jiequan

Abstract:

In fluid dynamics, the finite propagation of waves, the collision of particles and the interaction between various forces all reflect the spatial-temporal correlation effect. In this paper, CFD will be discussed from the perspective of computation methods, i.e. the spatial-temporal correlation of fluid dynamics models and the spatial-temporal coupling of computation methods. Starting from the modeling of fluid dynamics microcluster method, this paper clarifies the meaning of model spatial-temporal correlation, establishes the basic principle of finite volume format, elaborates the necessity of algorithm spatial-temporal coupling, and aligns the physical modeling of basic control equations of fluid dynamics with the mathematical principle of finite volume format. In practice, the design idea of the spatial-temporal coupled high-precision numerical method is given, and arithmetic examples are used to compare its difference with the spatial-temporal decoupling method. It is expected that the establishment of the spatial-temporal outlook will be helpful for future algorithm researches on CFD.

Introduction to the Lecturer:

Li Jiequan, researcher of the Institute of Applied Physics and Computational Mathematics, Beijing and part-time professor of the Center for Applied Physics and Technology, Peking University. He received M.S. and Ph.D. degrees from Beijing Normal University and the Institute of Mathematics, Chinese Academy of Sciences, respectively. He has been a professor at Capital Normal University and Beijing Normal University, and a visiting professor at more than ten internationally renowned academic institutions, including Hebrew University in Israel, University Magdeburg and University Mainz in Germany, Institut Henri Poincare in France, Stanford University and Penn State University in the United States, and Hong Kong University of Science and Technology. He is mainly engaged in researches on CFD, partial differential equation theory and numerical analysis. He has more than 70 papers published in academic journals of applied and computational mathematics, and one monograph in English published by Langman, and has been invited many times to give invited talks at international conferences.

Invitee:

Gao Fuzheng, Professor from School of Mathematics

Time:

14:00-15:00, June 11 (Friday)

Venue:

Academic Hall #924, Block B, Zhixin Building, Central Campus

Hosted by the School of Mathematics, Shandong University