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
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.

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