Historical review on the roles of mathematics in the study of aerodynamics

IMECH-IR > 流固耦合系统力学重点实验室

	Historical review on the roles of mathematics in the study of aerodynamics
	Li JC(李家春)
	2014
关键词	Hodograph Hyperbolic and mixed type equation Perturbation method Shock capture scheme
摘要	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.
专著/编著/文集名	Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao
页码	189-197
出版者	World Scientific Publishing Co.
语种	英语
ISBN号	9789814578097
文献类型	图书章节
条目标识符	http://dspace.imech.ac.cn/handle/311007/85078
专题	流固耦合系统力学重点实验室
作者单位	Institute of Mechanics, CAS, Beijing, 100190, China
推荐引用方式 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.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
ChpA009.pdf（158KB）	图书章节		开放获取	CC BY-NC-SA	浏览下载