BIMSA > Shallow water equations and the numerical methods \(ICBS\)
Shallow water equations and the numerical methods
Fluid models are widely used in th applications related to rivers, oceans, and reservoirs, such as the design and management of hydraulic projects. The research in this field is of great importance in both academics and engineering. The mini course focuses on the popular fluid dynamic models and their numerical methods. We will start with the well-known shallow water equations and the relevant mathematical theory, including the characteristic methods and the Riemann problems. Then we will introduce the classic finite volume methods. The course will finish up with the state-of-art numerical methods for the shallow water equations with nonconstant riverbed.
Lecturer
Guoxian Chen
Date
8th October ~ 5th November, 2021
Video Public
Yes
Notes Public
Yes
Lecturer Intro
陈国贤，武汉大学数学与统计学院副教授。 研究领域： Adaptive moving mesh method in Computational fluid dynamics, Positive preserving schemes, Well-balanced scheme for hyperbolic systems with source terms, Interval linear programming. 1997-2001年吉首大学本科，2001-2004年首都师范大学硕士，2004-2008年北京大学博士。 荣誉奖项：LE STUDIUM/Marie Sklodowska-Curie Research Fellowship, LE STUDIUM Loire Valley Institute for Advanced Studies. NSFC 国家自然科学基金“青年基金”：自适应移动非结构网格方法及其在计算流体力学中的应用。NSFC 国家自然科学基金“面上基金”：浅水波方程的高分辨率格式设计及其自适应加速技术。