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Geometric structure of pseudo-plane quadratic flows
Sun, Che1,2
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.
DOI10.1063/1.4979089
收录类别SCI
语种英语
WOS记录号WOS:000397874300036
引用统计
被引频次:1[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
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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).
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