| Historical review on the roles of mathematics in the study of aerodynamics | |
Li JC(李家春)
| |
| 2014 | |
| Keyword | Hodograph Hyperbolic and mixed type equation Perturbation method Shock capture scheme |
| Other Abstract | Mathematics and mechanics are twins and were concurrently developing in history. In the times of classic mechanics, mathematicians always were great masters of mechanics. The progresses of aerodynamics with many great mathematicians and applied mathematicians involved further demonstrated the close link between two disciplines in the 20th century. The present article is primarily focused on the advances of aerodynamics in the period of aeronautical engineering from low to hypersonic speeds. Correspondingly, singular perturbation theories, hodograph method, mixed type and hyperbolic PDE, shock capture scheme in CFD etc. were developing. The persuasive facts became additional paradigm of excellent combination of mathematics and mechanics. Finally, we foresee potential significant directions in future compressible flow study and expect further collaboration of scientists in mathematics and mechanics communities. © 2014 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. |
| Source Publication | Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao |
| Pages | 189-197 |
| Publisher | World Scientific Publishing Co. |
| Language | 英语 |
| ISBN | 9789814578097 |
| Document Type | 图书章节 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/85078 |
| Collection | 流固耦合系统力学重点实验室 |
| Affiliation | Institute of Mechanics, CAS, Beijing, 100190, China |
| Recommended Citation GB/T 7714 | Li JC. Historical review on the roles of mathematics in the study of aerodynamics[Ch]. Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao,World Scientific Publishing Co.,2014. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| ChpA009.pdf（158KB） | 图书章节 | 开放获取 | CC BY-NC-SA | View Download | ||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment