Geometric structure of pseudo-plane quadratic flows

doi:10.1063/1.4979089

IOCAS-IR > 海洋环流与波动重点实验室

	Geometric structure of pseudo-plane quadratic flows
	Sun, Che 1,2
	2017-03-01
发表期刊	PHYSICS OF FLUIDS
卷号	29 期号:3
文章类型	Article
摘要	Quadratic flows have the unique property of uniform strain and are commonly used in turbulence modeling and hydrodynamic analysis. While previous applications focused on two-dimensional homogeneous fluid, this study examines the geometric structure of three-dimensional quadratic flows in stratified fluid by solving a steady-state pseudo-plane flow model. The complete set of exact solutions reveals that steady quadratic flows have an invariant conic type in the non-rotating frame and a non-rotatory vertical structure in the rotating frame. Three baroclinic solutions with vertically non-aligned formulation disprove an earlier conjecture. All elliptic and hyperbolic solutions, except for the inertial ones, exhibit vertical concentricity. The rich geometry of quadratic flows stands in contrast to the depleted geometry of high-degree polynomial flows. A paradox in the steady solutions of shallow-water reduced-gravity models is also explained. Published by AIP Publishing.
DOI	10.1063/1.4979089
收录类别	SCI
语种	英语
WOS记录号	WOS:000397874300036
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
版本	出版稿
条目标识符	http://ir.qdio.ac.cn/handle/337002/136792
专题	海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Inst Oceanol, 7 Nanhai Rd, Qingdao 266071, Shandong, Peoples R China 2.Natl Lab Marine Sci & Technol, 1 Wenhai Rd, Qingdao 266237, Shandong, Peoples R China
第一作者单位	中国科学院海洋研究所
推荐引用方式 GB/T 7714	Sun, Che. Geometric structure of pseudo-plane quadratic flows[J]. PHYSICS OF FLUIDS,2017,29(3).
APA	Sun, Che.(2017).Geometric structure of pseudo-plane quadratic flows.PHYSICS OF FLUIDS,29(3).
MLA	Sun, Che."Geometric structure of pseudo-plane quadratic flows".PHYSICS OF FLUIDS 29.3(2017).

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Geometric structure （5647KB）	期刊论文	出版稿	限制开放	CC BY-NC-SA	浏览