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Coalescence of lenticular anticyclones in a linearly stratified rotating fluid 透镜状反气旋在线性分层旋转流体中的聚合
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-03-18 DOI: 10.1080/03091929.2020.1734199
A. Orozco Estrada, R. C. Cruz Gómez, A. Cros, P. Le Gal
This study is devoted to laboratory experiments on the coalescence of two lenticular anticyclones in a linearly stratified rotating fluid. These anticyclones are generated by injecting small volumes of fluid at the centre of a rotating tank where a linearly stratified layer was previously prepared with salt. The characteristics of the interaction between the vortices are studied by visualisation and Particle Image Velocimetry (PIV) as a function of the initial separation distance between the vortices, the Coriolis parameter of the rotating table and the Brünt-Väisälä frequency of the density stratification. Our results show that the merging critical distance depends drastically on the Rossby radius of deformation of the vortices and are in complete agreement with previous numerical modelling of vortex coalescence. We have also observed that mergers involve three-dimensional processes as the vortices intertwine together possibly because of the presence of an elliptic instability that tilts the vortex cores. They are also accompanied by the emission of vorticity filaments and internal gravity waves radiation although we cannot prove that in our experiments these waves are solely due to the merging process.
本研究致力于线性分层旋转流体中两个透镜状反气旋合并的实验室实验。这些反气旋是通过在旋转槽的中心注入小体积的流体来产生的,在旋转槽的中心,先前用盐制备了线性分层层。利用可视化和粒子图像测速(PIV)技术研究了涡旋间初始分离距离、旋转台科里奥利参数和Brünt-Väisälä密度分层频率对涡旋间相互作用特性的影响。我们的结果表明,合并的临界距离很大程度上取决于涡的变形的罗斯比半径,并与以前的涡合并的数值模拟完全一致。我们还观察到,合并涉及三维过程,因为涡旋缠绕在一起,可能是因为椭圆不稳定性的存在使涡旋核心倾斜。它们还伴随着涡度细丝和内部重力波辐射的发射,尽管我们无法证明在我们的实验中这些波仅仅是由于合并过程。
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引用次数: 4
Barotropic instability of a zonal jet on the sphere: from non-divergence through quasi-geostrophy to shallow water 球上纬向急流的正压不稳定性:从非辐散到准地转到浅水
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-02-24 DOI: 10.1080/03091929.2020.1724996
O. Shamir, N. Paldor, C. Garfinkel
Two common approximations to the full Shallow Water Equations (SWEs) are non-divergence and quasi-geostrophy, and the degree to which these approximations lead to biases in numerical solutions are explored using the test bed of barotropic instability. Specifically, we examine the linear stability of strong polar and equatorial jets and compare the growth rates obtained from the SWEs along with those obtained from the Non-Divergent barotropic vorticity (ND) equation and the Quasi-Geostrophic (QG) equation. The main result of this paper is that the depth over which a layer is barotropically unstable is a crucial parameter in controlling the growth rate of small amplitude perturbations and this dependence is completely lost in the ND equation and is overly weak in the QG system. Only for depths of 30 km or more are the growth rates predicted by the ND and QG systems a good approximation to those of the SWEs, and such a convergence for deep layers can be explained using theoretical considerations. However, for smaller depths, the growth rates predicted by the SWEs become smaller than those of the ND and QG systems and for depths of between 5 and 10 km they can be smaller by more than . For polar jets, and for depths below 2 km the mean height in geostrophic balance with the strong zonal jet becomes negative and hence the barotropic instability problem is ill-defined. While in the SWEs an equatorial jet becomes stable for layer depths smaller than 3–4 km, in the QG and ND approximations it is unstable for layer depths down to 1 km. These result may have implications for the importance of barotropic instability in Earth's upper stratosphere and perhaps also other planets such as Venus.
对于完整的浅水方程(SWEs)有两种常见的近似,即非散度近似和准地圈近似,并利用正压不稳定性试验平台探讨了这些近似导致数值解偏差的程度。具体来说,我们研究了强极地和赤道喷流的线性稳定性,并比较了从SWEs以及从非发散正压涡度(ND)方程和准地转(QG)方程得到的增长率。本文的主要结论是,层的正压不稳定深度是控制小振幅扰动增长速度的关键参数,这种相关性在ND方程中完全丧失,在QG系统中过于微弱。只有在深度为30km或以上的情况下,ND和QG系统预测的增长率才能很好地近似于SWEs的增长率,而这种对深层的收敛可以用理论考虑来解释。然而,对于较小的深度,由SWEs预测的增长速度比ND和QG系统的预测速度要小,对于深度在5至10 km之间的系统,它们可以小超过。对于极向急流和深度低于2 km的极向急流,地转平衡中与强纬向急流的平均高度变为负值,因此正压不稳定问题定义不清。在西南气旋中,赤道急流在小于3-4 km的层深范围内变得稳定,而在QG和ND近似中,在1 km以下的层深范围内则不稳定。这些结果可能暗示了地球平流层上层正压不稳定的重要性,或许也暗示了金星等其他行星的不稳定性。
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引用次数: 3
On magnetostrophic dynamos in annular cores 环形磁心磁转发电机的研究
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-02-20 DOI: 10.1080/03091929.2019.1685511
P. Roberts, Cheng-Chin Wu
ABSTRACT Magnetostrophic dynamos are studied in an annular core, adapting the seminal work of Taylor [The magnetohydrodynamics of a rotating fluid and the Earth's dynamo problem. Proc. R. Soc. London A. 1963, 274, 274] for a fluid-filled core. The model consists of an inviscid fluid core and a concentric solid inner core. The fluid is supposed to obey the Boussinesq equations of motion and is driven into motion by a flow-forcing function consisting of the buoyancy force of an adverse radial temperature gradient, opposed by the Lorentz force of the self-sustained magnetic field. Coriolis forces act but inertial and viscous forces are ignored. Taylor (1963) showed how such a “magnetostrophic dynamo” can be found when there is no solid inner core, but his ideas have to be non-trivially generalised when an inner core is present. That is undertaken in this paper. In the 1993, CUP book, “Theory of Solar and Planetary Dynamos”, Hollerbach and Proctor gave examples in which the zonal flow created by a specified flow-forcing function may be singular on the “tangent cylinder”, an imaginary cylinder tangential to the inner core and parallel to the polar axis. It is shown here how this singularity is related to the flow-forcing function, and how discontinuities of other components of the fluid velocity on the tangent cylinder are determined by that function. In appendix A, an identity is established between the leading terms in the Fourier expansion of two of the cylindrical components of an arbitrary vector field. In appendix B, eight examples are given relevant to annular dynamos. In appendix C, equatorial symmetry is considered.
摘要:根据Taylor的开创性著作《旋转流体的磁流体动力学和地球发电机问题》,在环形磁心中研究了磁转发电机。程序R. Soc[j] .北京大学学报(自然科学版)。该模型由无粘流体核和同心固体内核组成。流体应该服从布西涅斯克运动方程,并由由不利径向温度梯度的浮力和自维持磁场的洛伦兹力组成的流动强迫函数驱动运动。科里奥利力起作用,但惯性和粘性力被忽略。Taylor(1963)展示了如何在没有固体内核的情况下找到这样一个“磁转发电机”,但是当内核存在时,他的想法必须得到非平凡的推广。本文就是这样做的。在1993年,CUP出版的《太阳和行星发电机理论》一书中,Hollerbach和Proctor举例说明,由特定的流动强迫函数产生的纬向流在“切线圆柱体”上可能是奇异的,切线圆柱体是一个与内核相切并平行于极轴的假想圆柱体。这里显示了这个奇异点是如何与流动强迫函数相关联的,以及切圆柱上流体速度的其他分量的不连续是如何由该函数确定的。在附录A中,在任意向量场的两个柱面分量的傅里叶展开式的前导项之间建立了一个恒等式。在附录B中,给出了八个与环形发电机有关的例子。在附录C中,赤道对称被考虑。
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引用次数: 2
Thermal versus mechanical topography: an experimental investigation in a rotating baroclinic annulus 热与机械形貌:旋转斜压环的实验研究
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-02-03 DOI: 10.1080/03091929.2019.1697875
S. D. Marshall, P. Read
We present a series of experimental investigations in which a differentially-heated annulus was used to investigate the effects of topography on rotating, stratified flows. In particular, we investigate blocking effects via azimuthally varying differential-heating and compare them to previous experiments utilising partial mechanical barriers. The thermal topography used consisted of a flat patch of heating elements covering a small azimuthal extent of the base, forming an equivalent of a partial barrier, to study the difference between blocked and unblocked flow. These azimuthally-varying heating experiments produced results with many similarities to our previous experiments with a mechanical barrier, despite the lack of a physical obstacle or formation of bottom-trapped waves. In particular, a unique flow structure was found when the drifting flow and the topography interacted in the form of an “interference” regime at low Taylor number, but forming an erratic “irregular” regime at higher Taylor number. This suggests that blocking may be induced by either or both of a thermal or mechanical inhomogeneity. Evidence of coherent/persistent resonant wave triads was noted in both kinds of experiment, though the component wavenumbers of the wave-triads and their impact on the flow was found to depend on the topography in question.
我们提出了一系列的实验研究,其中微分加热环空被用来研究地形对旋转,分层流动的影响。特别是,我们通过方位变化的差热来研究阻塞效应,并将它们与先前利用部分机械屏障的实验进行比较。所使用的热地形包括覆盖一小块基地方位角范围的加热元件的平坦斑块,形成相当于部分屏障,以研究阻塞和未阻塞流动之间的差异。这些方位变化的加热实验产生的结果与我们之前的机械屏障实验有很多相似之处,尽管没有物理障碍或形成底部困波。特别是在低泰勒数时,漂流流与地形的相互作用表现为“干涉”型,而在高泰勒数时形成不规则的“不规则”型,形成独特的流动结构。这表明阻塞可能是由热或机械不均匀性中的一种或两种引起的。在这两种实验中都注意到相干/持久共振波三联的证据,尽管发现三联波的分量波数及其对流动的影响取决于所讨论的地形。
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引用次数: 3
Effect of respiratory changes in tracheal length on computed tomographic study of bronchial anatomy. 气管长度的呼吸变化对支气管解剖学计算机断层扫描研究的影响。
4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-02-01 Epub Date: 2019-10-24 DOI: 10.1007/s12630-019-01514-5
Satyen Parida
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引用次数: 1
Wave turbulence: the case of capillary waves 波浪湍流:毛细管波的情况
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-01-28 DOI: 10.1080/03091929.2020.1715966
S. Galtier
ABSTRACT Capillary waves are perhaps the simplest example to consider for an introduction to wave turbulence. Since the first paper by Zakharov and Filonenko, capillary wave turbulence has been the subject of many studies, but a didactic derivation of the kinetic equation is still lacking. It is the objective of this paper to present such a derivation in the absence of gravity and in the approximation of deep water. We use the Eulerian method and a Taylor expansion around the equilibrium elevation for the velocity potential to derive the kinetic equation. The use of directional polarities for three-wave interactions leads to a compact form for this equation which is fully compatible with previous work. The exact solutions are derived with the so-called Zakharov transformation applied to wavenumbers, and the nature of these solutions is discussed. Experimental and numerical works done in recent decades are also reviewed.
毛细管波可能是介绍波浪湍流最简单的例子。自Zakharov和Filonenko发表第一篇论文以来,毛细波湍流一直是许多研究的主题,但仍然缺乏动力学方程的教学推导。本文的目的是在没有重力和深水近似的情况下给出这样的推导。我们使用欧拉方法和围绕平衡高度的速度势的泰勒展开来推导动力学方程。对三波相互作用的定向极性的使用导致了这个方程的紧凑形式,这与以前的工作完全兼容。用所谓的Zakharov变换对波数进行了精确解的推导,并讨论了这些解的性质。本文还回顾了近几十年来所做的实验和数值工作。
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引用次数: 2
Rossby waves in the ocean covered by compressed ice 被压缩冰覆盖的海洋中的罗斯比波
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-01-27 DOI: 10.1080/03091929.2020.1712716
Y. Stepanyants, I. Sturova
ABSTRACT We study in the linear approximation barotropic Rossby waves in the ocean covered by compressed ice. We derive the dispersion relation and analyse its dependence on the degree of ice compression and its flexural rigidity. The characteristic parameters of a wave-field the most sensible to the influence of ice cover are estimated and presented for the Earth and some other planets. The main conclusion is rather pessimistic as the influence of ice cover on Rossby waves in the typical situations is almost insignificant, albeit in some special conditions it may be important. Anyway, the theoretical results clarifying the possible influence of ice or any other elastic cover on water waves in a rotating fluid represent an interest, in our opinion.
摘要:本文用线性近似方法研究了被压缩冰覆盖的海洋中的正压罗斯比波。我们推导了色散关系,并分析了它与冰压缩程度和弯曲刚度的关系。估计并给出了地球和其他一些行星上对冰盖影响最敏感的波场特征参数。主要结论是相当悲观的,因为在典型情况下,冰盖对罗斯比波的影响几乎是微不足道的,尽管在某些特殊情况下,它可能是重要的。无论如何,在我们看来,澄清冰或任何其他弹性覆盖物对旋转流体中水波的可能影响的理论结果是有意义的。
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引用次数: 1
Stability of filaments of uniform quasi-geostrophic potential vorticity 均匀准地转位涡细丝的稳定性
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-01-27 DOI: 10.1080/03091929.2019.1704752
J. Reinaud
We analyse the linear stability of filaments of uniform potential vorticity with a horizontal axis in a quasi-geostrophic flow. For a single filament, the situation corresponds to the simplest three-dimensional shear zone in a rapidly rotating, continuously stably stratified fluid. Yet, this has not been formally addressed to our knowledge. We show that the filament is sensitive to the Kelvin–Helmholtz instability for perturbations in a finite range of streamwise wavenumbers , similarly to the classical situation of a two-dimensional strip of uniform vorticity. We also analyse the stability of a jet formed by two parallel filaments of opposite PV whose axes are located on the same horizontal plane as well as the stability of “hetonic” filaments. Hetonic filaments consist of a pair of opposite PV filaments located at different heights. These can be sensitive to baroclinic instabilities over a wide range of longitudinal wavenumbers.
本文分析了准地转流中具有水平轴的均匀位涡细丝的线性稳定性。对于单个细丝,这种情况对应于快速旋转、连续稳定分层流体中最简单的三维剪切区。然而,据我们所知,这个问题还没有得到正式解决。我们表明,在有限范围的流向波数扰动下,灯丝对开尔文-亥姆霍兹不稳定性很敏感,类似于均匀涡度的二维条带的经典情况。我们还分析了由轴线在同一水平面上的两个相对PV的平行细丝形成的射流的稳定性以及“面面体”细丝的稳定性。Hetonic细丝由一对位于不同高度的相对PV细丝组成。它们可以对大范围纵波数范围内的斜压不稳定性敏感。
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引用次数: 2
Mean flow generation due to longitudinal librations of sidewalls of a rotating annulus
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-01-20 DOI: 10.1080/03091929.2019.1692829
M. Kurgansky, T. Seelig, M. Klein, A. Will, U. Harlander
Laboratory experiments with a rotating cylindrical annulus are reported that reveal a prograde jet, which is adjacent to a (longitudinally) librating inner straight cylindrical wall. Here, wall libration is realised as a time-harmonic modulation of the inner cylinder's rotation rate. The outer cylindrical wall and bottom and top lids rotate with constant angular velocity. The main purpose of our study is to contribute to a qualitative and quantitative understanding of non-linearities that are present in oscillating, but centrifugally stable, vertical boundary layers frequently encountered in rotating wall-bounded flows. We consider a problem that is in a sense complementary to that of previous works that focused on oscillating Ekman layers but neglected the vertical Stokes−Stewartson layers. A simple analytical model is proposed that is able to predict the magnitude and spatial structure of the emerging prograde near-wall jet in terms of nonlinearity inherent in the inner cylinder's boundary layer dynamics.
在一个旋转圆柱环空的实验室实验中,我们发现了一个顺流射流,它与一个纵向振动的内直圆柱壁面相邻。在这里,壁面的振动被实现为内气缸旋转速率的时谐调制。外圆柱体壁和底盖和顶盖以恒定的角速度旋转。我们研究的主要目的是有助于定性和定量地理解在旋转壁面流动中经常遇到的振荡但离心稳定的垂直边界层中存在的非线性。我们考虑的问题在某种意义上是对以前的工作的补充,这些工作专注于振荡的Ekman层,而忽略了垂直的Stokes - Stewartson层。本文提出了一个简单的解析模型,该模型能够根据内柱边界层动力学的非线性特性来预测新出现的渐进式近壁射流的大小和空间结构。
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引用次数: 2
Life cycle of mesoscale eddies in the Gulf of Aden 亚丁湾中尺度涡旋的生命周期
IF 1.3 4区 地球科学 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2020-01-15 DOI: 10.1080/03091929.2019.1708348
Mathieu Morvan, P. L’Hégaret, Charly de Marez, X. Carton, Stéphanie Corréard, R. Baraille
The Red Sea Water is a warm and salty water produced in the Red Sea by evaporation induced by strong solar radiation. This dense water mass exits the Red Sea through the Strait of Bab El Mandeb, and enters the Gulf of Aden as a density current between 400 and 1000 metre depth. In the Gulf of Aden, in situ and satellites observations have shown the impact of the deeply reaching eddies dominating the mesoscale dynamics, on the spreading of the Red Sea Water. In this paper, we study the life cycle of these mesoscale eddies in the Gulf of Aden by using a regional primitive equation model at mesoscale resolution, and an eddy-tracking algorithm. The mesoscale anticyclonic eddies are formed at the mouth of the Gulf of Aden, and subsequently drift westward into the gulf. Mesoscale anticyclones are long-lived compared to the cyclones. The cyclones result from the interaction of anticyclones with the coast and the sloping topography. The wind stress, the bathymetry and the surrounding eddy field drive the life cycle of eddies. Finally, Kelvin and internal waves are triggered along the northern and southern coasts.
红海水是由强烈的太阳辐射引起的蒸发在红海中产生的一种温暖的咸水。这种密集的水团通过曼德海峡从红海流出,并以密度流的形式进入亚丁湾,深度在400到1000米之间。在亚丁湾,实地观测和卫星观测表明,影响深远的涡流主导着中尺度动力学,对红海水的扩散产生了影响。本文采用中尺度分辨率的区域原始方程模型和涡旋跟踪算法研究了亚丁湾这些中尺度涡旋的生命周期。中尺度反气旋涡旋在亚丁湾入口处形成,随后向西漂移进入亚丁湾。中尺度反气旋比气旋寿命长。气旋是反气旋与海岸和斜坡地形相互作用的结果。风应力、水深和周围涡场驱动涡的生命周期。最后,开尔文波和内波沿着南北海岸被触发。
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引用次数: 8
期刊
Geophysical and Astrophysical Fluid Dynamics
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