Department News

Computational Fluid Dynamics Based on the Unified Coordinates

Seminar Date 2004-03-17
Author
지국현
Date
2004-03-17
Views
1716
1. 제 목 : Computational Fluid Dynamics Based on the Unified Coordinates





2. 연 사 : Professor Grafton W.H. Hui (Hong Kong University of Science and Technology)





3. 일 시 : 2004년 3월 27일 (토) 11:00 - 12:00





4. 장 소 : 서울대 신공학관(301동) 117호 세미나실





5. 내 용 :





Computational Fluid Dynamics(CFD) uses large scale computations to solve problems of fluid motion. There exist two general methods. In Eulerian method, the coordinates (hence the grid) are fixed in space: therefore it is simple but smears contact lines badly and forever.


In Lagrangian method, the coordinates move with the fluid. Most CFD use the Eulerian method, which also requires generating a body-fitted grid prior to flow computation; grid generation is a major bottleneck in CFD research.





We have introduced a unified coordinate system that moves with velocity hq, q being fluid velocity. It includes the Eulerian system as a special case when h=0, and the Lagrangian when h=1, and it unifies them. By choosing the arbitrary function h to preserve grid orthogonality, it combines the advantages of both Eulerian and Lagrangian methods. It combines the advantages of both Eulerian and Lagrangian methods. In particular, we have achieved the following :


(a) resolving contact lines sharply without break down of computation


(b) computing flow without grid generation, thus greatly saving computing time


(c) deriving, for the first time, the Lagrangian gas dynamics equations in conservation form,


thus substantially facilitation Lagrangian computation





Examples include : diamond-shape airfoil, hypersonic flow past a cone, 2-D steady Riemann problem, Mach reflection in channel, and gridless computation of flow past an airfoil





6. 약 력 :





1958, B.S. Peking University,


1969, Ph.D. University of Southampton,


1969-73 Lecturer, University of Southampton, England.


1974-78 Associate Professor, University of Waterloo, Canada


1979-94 Professor , University of Waterloo, Canada


Visiting Professor at NASA Ames Research Center, USA (1980)


Visiting Professor (Navair Research Chair) at US Naval Postgraduate School (1980)


Visiting Professor at University of Arizona, Tuscon, USA (1985-6)


Visiting Professor at the Taiwan University (1990)


1991- present Professor, the Hong Kong University of Science & Technology (Mathematics)





7. 문 의 : 기계항공공학부 김종암 교수 (☏ 880-1915)