Computational Fluid Dynamics Based on.doc

Computational Fluid Dynamics Based on
The Unified Coordinates
Professor W H Hui (许为厚)
Emeritus Professor of Applied Mathematics
University of Waterloo, Canada and
Hong Kong University of Science & Technology
TIME:Sep 11th, 10:00-11:00 am
Venue:Lecture Hall, Jia Yi Bing Building, 82 Jing Chun Yuan, BICMR
北京大学镜春园82号甲乙丙楼二层报告厅
Abstract
This lecture highlights the monograph of the above title by W H Hui and K Xu (Springer and Science Press, 2012). It is well known that the numerical solution to a given flow depends on the coordinates (mesh) used in putation. The two well-known coordinate systems, Eulerian and Lagrangian, have advantages as well as drawbacks. Eulerian method is relatively simple, but it smears contact discontinuities badly and requires generation of a body-fitted mesh prior puting flow past a body. In contrast, Lagrangian method resolves contact discontinuities sharply, but the gas dynamics equations in 2D and 3D could not be written in conservation partial differential equations (PDE) form, rendering plicated. It also breaks down due to mesh tangling.
A unified coordinate system (UC) is introduced via Hui’s transformation with three degrees of freedom (the mesh velocity). Its main contributions to the theory of CFD are: (1) the governing equations in any moving coordinates can be written as a system of closed conservation PDEs; (2) the system of Lagrang