南方科技大学知识苑(SUSTech KC): A novel variational method for 3D viscous flow in flow channel of turbomachines based on differential geometry

题名	A novel variational method for 3D viscous flow in flow channel of turbomachines based on differential geometry
作者	Ju，Guoliang1,2 ; Li，Jingzhi2 ; Li，Kaitai 3
通讯作者	Li，Jingzhi
发表日期	2020-10-02
DOI	10.1080/00036811.2018.1559304
发表期刊	APPLICABLE ANALYSIS 影响因子和分区
ISSN	0003-6811
EISSN	1563-504X
卷号	99 期号:13页码:2322-2338
摘要	This paper presents a novel variational method for treating three-dimensional rotational Navier-Stokes equations in flow channel of turbomachines. The proposed method establishes a new semi-geodesic coordinate system on the central surface of blades. From the perspective of differential geometry, the system under concern is split into a set of membrane operator equations on two-dimensional manifolds and bending operator equations along hub circle. The third variable of the new coordinate system is approximated by the central difference scheme. We derive a new formulation of two-dimensional Navier-Stokes equations with three components on the manifolds in the variational sense. The well-posedness of the proposed variational formulation is rigorously justified.
关键词	differential geometry Rotational Navier-Stokes equation semi-geodesic coordinate system two-scale parallel algorithm
相关链接	[Scopus记录]
收录类别	SCI
语种	英语
学校署名	通讯
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000565397200007
出版者	TAYLOR & FRANCIS LTD
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85059581561
来源库	Scopus
引用统计	被引频次[WOS]：0
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/153561
专题	理学院_数学系
作者单位	1.School of Mechatronics Engineering,Harbin Institute of Technology,Harbin,China 2.Department of Mathematics,Southern University of Science and Technology,Shenzhen,China 3.School of Science,Xi'an Jiaotong University,Xi'an,China
第一作者单位	数学系
通讯作者单位	数学系
推荐引用方式 GB/T 7714	Ju，Guoliang,Li，Jingzhi,Li，Kaitai. A novel variational method for 3D viscous flow in flow channel of turbomachines based on differential geometry[J]. APPLICABLE ANALYSIS,2020,99(13):2322-2338.
APA	Ju，Guoliang,Li，Jingzhi,&Li，Kaitai.(2020).A novel variational method for 3D viscous flow in flow channel of turbomachines based on differential geometry.APPLICABLE ANALYSIS,99(13),2322-2338.
MLA	Ju，Guoliang,et al."A novel variational method for 3D viscous flow in flow channel of turbomachines based on differential geometry".APPLICABLE ANALYSIS 99.13(2020):2322-2338.