单面边坡的两种动力反应形式及其临界高度

把单面边坡的动力反应分为高边坡动力反应和低边坡动力反应两类. 研究了两种不同动力反应形式临界边坡高度的影响因素. 量纲分析表明弹性条件下边坡动力反应临界高度Hthre与构成边坡材料的动弹性模量Ed的平方根成正比,与边坡材料的密度ρ成反比,与边坡动力输入的特征周期T成正比. 结合弹性波动理论,利用大量数值模拟和统计分析得到了Hthre的表达式. 当边坡的高度大于Hthre时,边坡的动力反应呈现高边坡动力反应规律,当边坡的高度小于Hthre时,边坡的动力反应呈现低边坡动力反应规律.     

地下爆炸Rg波低谷点激发机理

目前普遍认为Rg_S散射是地下核爆炸短周期Lg波的主要能量来源,其主要依据为由线性偶极补偿源（CLVD）激发的Rg波谱的低谷点随深度变化的特征与区域震相Lg波谱的低谷点随深度变化的特征具有一致性. 本文利用简正振型理论,分析了Rg波谱中低谷点的形成机理,给出了各种速度模型下CLVD源深度与低谷点频率之间的关系,并分析了利用公式hCLVD=V/(16fNull)估计震源深度的局限性. 本文的研究结果进一步支持了CLVD源是激发Lg波的主要因素的观点,并得到重要结论：CLVD源形式下的本征位移函数及其导数的叠加所形成的极小值,即源的空间分布特征,是形成Rg波低谷点的原因,而不能仅用水平向基频本征位移函数过零点来解释.     

旋转流体中的二维惯性重力波-涡相互作用

本文利用f-平面浅水模型讨论了二维情况下快速惯性重力波与平衡涡旋之间的相互作用问题.当快速的惯性重力波传入涡旋区域后,波－涡之间发生了相互作用,涡旋可被加深,涡旋区域的风场等可以出现非对称分布,当惯性重力波全部传出涡旋区域并远离之后,涡旋恢复到其初始状态,但此时惯性重力波可以出现非对称结构,这与一维情况不同.在波－涡发生相互作用过程中,其物理量变化的最大区域分布基本与波动传播方向一致,在波动进入或移出涡旋时,相对应存在两个最大物理量变化区域,此外,相互作用导致的物理量的最大变化与波动结构、强度、传播方向以及涡旋特性有关.非线性条件下的波－涡相互作用要强于线性过程.     

中国大陆及邻区海域地壳上地幔各向异性研究

利用分别由Love波和Rayleigh波得到的S波速度结构的差值（VSH-VSV）对中国大陆及邻区海域（70°E～145°E，15°N～55°N）地壳上地幔中的偏振各向异性进行研究.初步研究结果表明，各向异性在空间分布上存在不均匀性：（1）在小于150 km的深度范围内，VSH>VSV的各向异性体占主导地位，反映出在地球的浅部岩石圈内的水平应力作用及软流圈顶部物质的水平向流动对各向异性的形成起主导作用.在大陆地区，各向异性的强度随深度有显著变化.上地壳和上地幔盖层中的各向异性普遍较弱，而在流变性较强的下地壳和软流圈存在较大范围的各向异性.这一现象说明下地壳在岩石圈变形中可能有解耦作用.（2）在大于200 km深度的软流圈下部主要表现为VSH<VSV的各向异性，说明地幔物质垂直运动相对占优势地位.（3）在中国大陆东部可以看出一个大致趋势：在构造比较稳定的地区，岩石圈中VSH>VSV的各向异性比较显著，而软流圈中VSH<VSV的各向异性较弱；在构造活动比较强烈的地区，软流圈中VSH<VSV的各向异性占主导地位.（4）印度板块低角度向青藏高原下俯冲影响了中国大陆西部地区各向异性的特征.印度板块向北运动水平挤压中国西部大陆，使得物质定向重结晶，从而在岩石圈下部产生显著的VSH>VSV各向异性.     

非对称型强飓风中的准平衡流特征分析Ⅱ:波动结构

利用非对称波分量分解和小波分析的方法,对准平衡动力模型下非对称强飓风内中尺度波动的空间结构和时间序列特征进行分析.结果表明,平衡流场中1波扰动占主要地位且具有涡旋Rossby波的典型结构特征,准平衡流各波数下扰动的空间分布反映了中尺度波动的混合性质;模式大气和准平衡垂直运动的全局功率谱中,超过信度检验的强波动信号中不仅包含分别表征重力波和涡旋Rossby波的高频和低频波动信号,还存在表征具有物理性质不可分特性的混合涡旋Rossby-重力波的中频波动.混合波的出现建立了不同频段波动之间的能量交换通道,其信号的变化对飓风系统的强弱变化具有一定的指示作用.非平衡垂直运动的波动强信号则主要集中在高频和低频区域,反映了在飓风强度变化情况下,与高频重力波有关的快波调整过程所引起的垂直扰动的振荡和传播.强垂直风切变对飓风内中尺度波动的切向和径向传播具有重要影响,当环境垂直风切变很强时,准平衡1波扰动在径向和切向方向上均呈"驻波"形态,随着环境垂直风切变的减弱,1波扰动以混合波波速逆基本气流传播.     

台风“麦莎”（Matsa）诱发平流层重力波的数值模拟

本文利用新一代中尺度预报模式WRF-ARW（V3.0）对2005年台风＂麦莎＂诱发的平流层重力波进行了数值模拟研究.覆盖整个＂麦莎＂台风主要生命史为期8天的模拟再现了＂麦莎＂的主要特征,与观测资料进行对比,模拟结果在台风基本特征（路径、强度、螺旋云带分布）以及平流层大气平均状态方面上,都与观测资料有较好的一致性.在此基础上,对＂麦莎＂诱发的平流层重力波进行了分析研究,分析结果表明：伴随台风向西北方向移动,在其上空以台风为中心的区域中,持续地出现显著平流层重力波,这些波动呈弧状的波阵面离开台风,并主要在背景流的上游中传播.这些波动特征表明了平流层重力波与台风之间存在紧密联系,我们把这种波动称为＂热带气旋-平流层重力波＂.模拟结果还显示,这些波动应该具有相当大的水平尺度,才使得在20km高度上清晰的波阵面出现在距台风中心1000km以外的位置,这与过去的观测分析结果揭示的与台风相伴的平流层大尺度重力波现象是一致的.     

台风“梅花”诱发平流层重力波的数值模拟与AIRS观测

为了分析台风这类强对流诱发平流层重力波的过程,本文利用中尺度数值模式WRF-ARW(V3.5)和卫星高光谱红外大气探测器AIRS数据对2011年第9号强热带气旋"梅花"的重力波特征进行了分析.首先,针对模式输出的垂直速度场资料的分析表明,台风在对流层各个方向上几乎都具有诱发重力波的能量,而在平流层内则呈现出只集中于台风中心以东的半圆弧状波动,且重力波到达平流层后其影响的水平范围可达1000km.此外,平流层波动与对流层雨带在形态、位置以及尺度上均具有一定的相似性.其次,对风场的分析结果表明,不同高度上波动形态的差异主要是由于重力波垂直上传的过程中受到了平流层向西传的背景风场以及风切变的调制作用,揭示了重力波逆着背景流垂直上传的特征.随后,基于FFT波谱分析的结果表明,"梅花"诱发的平流层重力波水平波长中心值达到了1000km,周期在15~25h,垂直波长主要在8~12km.最后,利用AIRS观测资料分析了平流层30~40km高度上的大气波动,得到了与数值模拟结果相一致的半圆弧状波动.对比结果也验证了WRF对台风诱发平流层重力波的波动形态、传播方向、不同时刻扰动强度的变化以及影响范围的模拟效果.此外,也揭示了多资料的结合对比有助于更加全面地了解台风诱发平流层重力波的波动特征.     

北太平洋副热带逆流区长Rossby波动力特性

利用2.5层海洋模式分析了北太平洋副热带逆流(STCC)区波长在450-840 km之间的长Rossby波的动力特性.不考虑耗散时,STCC区域的长Rossby波是中性波,其快模态的周期是88-110 d,相速度为0.06-0.09 m/s,群速度几乎与相速度相同.弱耗散作用使长Rossby波为弱衰减波,但几乎不影响其相速度与频率.观测的STCC区海平面高度(SSH)的准90d振荡对应长Rossby波的第一斜压模,"快"模态的波动振幅是"慢"模态的约5倍.准90d振荡存在的3个必要条件是:(1)第2层向西平均流取值为0.02-0.04m/s;(2)2个活动层的厚度超过480 m;(3)第2层的密度介于24.8-26.8之间.正因为北太平洋STCC区满足这3个条件,才在该海域出现SSH的准90d振荡.海面热通量的变化对快模态长Rossby波的传播特性影响不大,但对慢模态的传播特性有一定的影响.     

风生边界急流稳定性的渐近理论

观测表明,当冬季盛吹北风时,在南中国海西边界附近将形成一支向南的急流,在一定条件下这支急流可弯曲成波动甚至形成涡旋.本文应用等值浅水模式,采用截断模方法,分析了急流的稳定性,并给出急流上不稳定波出现的条件.分析表明只有当向南的风生急流很强很窄时,由变性的Kelvin波和风应力强迫出的地形Rossby波在长波波段耦合而出现不稳定,不稳定波在波长约200 km时向北传播的相速度约为02 m·s-1,波振幅增长到e倍所需的时间约15天.分析进一步表明,夏季向北的风生流在海洋的西边界附近是稳定的.这些结果在一定程度上解释了观测结果.     

水平非均匀基流中行星波的传播

行星波传播理论虽然已有很多研究,但是大多以纬向对称基流为主,无法解释东西风带之间相互作用的事实.鉴于此,本文从理论上系统讨论了纬向对称和水平非均匀基流中定常和非定常波动的传播特征.首先,对纬向对称基流中波动传播的周期特征进行分析后发现,西风中位相东传超长波周期大于30 d,而东风中位相西传超长波的周期则小于30 d.之后,从传播的空间以及周期特征等方面系统研究了水平非均匀基流中球面波动传播理论,得到以下结论:经向基流使得定常波可以穿越东风带,在南北两半球间传播,为东西风带之间的相互作用提供了理论解释;强的经向流使得波动传播具有单向性;亚澳季风区低层纬向1波呈低频特征.     

热带气旋Rossby波能量频散问题研究进展

热带气旋是发生在热带洋面上的强烈气旋性涡旋.由于地转涡度梯度的存在,热带气旋在移动过程中不断发生Rossby波能量频散,并在热带气旋运动方向的后部激发出反气旋和气旋交替排列的Rossby波能量频散波列.多热带气旋共存和热带气旋的异常运动是当前国际热带气旋研究领域的热点问题,热带气旋Rossby能量频散被证实与多个热带气...     

Radiating Vortices in Geophysical Fluid Dynamics

The dynamics of a single vortex on a beta-plane is discussed in this paper. A barotropic, an equivalent barotropic, one-and-a half and two-layer models are considered. The momentum and energy balances are used to describe the evolution of a vortex. A quasi-stationary balance of the Rossby, Zhukovsky-Kutta forces and the force induced by Rossby-wave radiation, describes the dynamics of the barotropic vortex. A net Coriolis force occurs if the fluid is stratified. The difference between the dynamics of cyclones and anticyclones results directly from the Coriolis force acting on a single vortex in a stratified fluid.All vortices radiate Rossby waves in the quasigeostrophic approximation but intense anticyclones propagate steadily in a one-and-a half layer model. A critical amplitude that bounds radiating and steadily propagating anticyclones is found. Steady propagation of anticyclones in general is impossible in a two-layer fluid due to the radiation of a barotropic Rossby-wave. Some solutions of solitary wave type which are known for a two-layer model, survive owing to wave interference.A single vortex can extract energy from a Rossby wave if synchronism conditions are satisfied. The wave interference again plays a crucial role in this case. The wave interference also determines the energy exchange of vortices located at larger distances. If the distance between the vortices is shorter than the length of the radiated waves, modon may be formed due to a small energy loss.The unbounded monotonic variation of the planetary vorticity is a characteristic feature of a beta-plane approximation. As a result, a single vortex propagates up to a 'rest latitude' where it disappears. The evolution of a single barotropic vortex over bottom topography provides another example of a background vorticity distribution with a local extremum above hills (valleys) or ridges (troughs). Physics of its movement differs from a beta-plane case, but if a vortex lies over broad topography, equations are similar and the evolution of a vortex manifests the same typical features. Particularly, a cyclonic vortex tends to drift to the top of a hill or a ridge. An anticyclonic vortex, on the contrary, slides to the bottom of a valley or a trough.An interaction of a barotropic vortex with a broad mean flow is tractable qualitatively on the basis of previous results. Numerical examples illustrating absorption of a small vortex by a larger one and a vortex movement across the flow, are direct analogies of the vortex evolution over a hill and a ridge, respectively. At the same time, strong influence of strain drastically changes the vortex structure.     

Cyclonic-anticyclonic asymmetry and a new soliton concept for rossby vortices in the laboratory,oceans and the atmospheres of giant planets

Abstract

It is demonstrated in laboratory experiments with rotating shallow water that large scale Rossby vortices, greater than the Rossby-Obukhov radius in size, have dispersive and non-linear properties that are fundamentally different for the two possible polarities. We call this “cyclonic-anticyclonic asymmetry”. This asymmetry manifests itself in the following way: first, anticylones, unlike cyclones, do not undergo the dispersive spreading inherent in a linear wave packet. and therefore, having a considerably longer natural lifetime, are obvious candidates for Rossby solitons; second, dipolar vortices are, because of the comparatively rapid decay of a cyclone, transformed into anticyclonic solitons; third, anticyclones are much more readily generated by zonal flows of the type existing in planetary atmospheres. The evident dominance of anticyclones amongst the long-lived vortices in the atmospheres of giant planets strongly suggests that the cyclonic-anticyclonic symmetry plays a decisive role in the atmospheric cyclogenesis of large planets.

According to our concept, the Rossby soliton is a “real” vortex; unlike a wave, it retains some fluid particles within it throughout its lifetime. Two similar solitons can merge by mutual collisions. This picture of a “vortical” soliton differs in an essential way from the earlier idea due to Maxworthy and Redekopp (1976) of purely “wave-like” Rossby solitons that can freely pass through one another.

Laboratory experiments were performed by us to simulate the new Rossby solition, with special reference to naturally-occurring vortices of the same general type as Jupiter's great red spot. The experimental data presented contradict the idea of “pure wave solitons” but confirm our concept of “vortical solutions”.     

Vortex evolution due to straining: a mechanism for dominance of strong,interior anticyclones

In this article we address two questions: Why do freely evolving vortices weaken on average, even when the viscosity is very small? Why, in the fluid's interior, away from vertical boundaries and under the influence of Earth's rotation and stable density stratification, do anticyclonic vortices become dominant over cyclonic ones when the Rossby number and deformation radius are finite? The context for answering these questions is a rotating, conservative, Shallow-water model with Asymmetric and Gradient-wind Balance approximations. The controlling mechanisms are vortex weakening under straining deformation (with a weakening that is substantially greater for strong cyclones than strong anticyclones) followed by a partially compensating vortex strengthening during a relaxation phase dominated by Vortex Rossby Waves (VRWs) and their eddy–mean interaction with the vortex. The outcome is a net, strain-induced vortex weakening that is greater for cyclones than anticyclones when the deformation radius is not large compared to the vortex radius and the Rossby number is not small. Furthermore, when the exterior strain flow is sustained, the vortex changes also are sustained: for small Rossby number (i.e., the quasigeostrophic limit, QG), vortices continue to weaken at a relatively modest rate, but for larger Rossby number, cyclones weaken strongly and anticyclones actually strengthen systematically when the deformation radius is comparable to the vortex radius. The sustained vortex changes are associated with strain-induced VRWs on the periphery of the mean vortex. It therefore seems likely that, in a complex flow with many vortices, anticyclonic dominance develops over a sequence of transient mutual straining events due to the greater robustness of anticyclones (and occasionally their net strengthening).     

The coupling instability of Rossby and topographic Rossby waves in the equatorial area

Before the 1980s, El Ni?o was believed as the sea surface warming along the coast of Peru in South America. As the positive anomaly strengths, the warm water expands westward along the equator to form large area of anomalous high sea surface temperature. Rasmusson and Carpenter (1982) summarized the de-velopment process of the sea surface warm water and the corresponding wind field[1] during ENSO cylce. However, this canonical El Ni?o was questioned by 1982-1983 warm episode and later dat…     

Simulation of the stratospheric gravity waves generated by the Typhoon Matsa in 2005

The generation of stratospheric gravity waves(GWs) due to typhoon is simulated by using a meso-scale model(WRF) with a typhoon case,the Matsa in 2005.An 8-day model run that covers the major stages of the Matsa’s development reproduces the key features of the typhoon.For example,good agreements in the typhoon’s track,the intensity,and the spiral clouds,as well as mean state of stratosphere,are seen between the simulation results and the observation.Simulation results clearly show that with typhoon propagates northwestward,pronounced stratospheric GWs are generated continuously in the vicinity of Matsa.The GWs exhibit the typical curve-like wave fronts away from the Typhoon Matsa,and propagate preferentially in the upstream of the background winds.These characteristics reflect that the stratospheric GWs are closely associated with the typhoon,and thus the GWs are referred to as Tropical Cyclone related Gravity Waves(TC-GWs).The results also show that these waves should have a rather large horizontal scale so that the outmost wave fronts can be seen at the distance of ～1000 km to the typhoon center in the horizontal plane of 20 km.This is consistent with the phenomenon of stratospheric TC-GWs with ～1000 km horizontal scale disclosed by the previous observational analysis results.     

南亚高压区Rossby波能量向上穿越对流层顶传播的特征与机制

夏季平流层盛行强东风,Rossby波能量难以从对流层向上传播至平流层,而冬季平流层盛行西风,Rossby波能量容易上传,因此以往对Rossby波能量向平流层传播的研究多考虑冬季的情况.而事实上,因为夏季高原上空南亚高压反气旋环流,并非只有强东风存在,所以Rossby波能量也可能在南亚高压区向上传播,从而影响平流层的温度、风场及大气成分等.因此,本文利用ERA-interim逐日再分析资料,分析了1979—2015年夏季南亚高压区Rossby波能量穿越对流层顶传播的特征与机制.结果表明:Rossby波能量可以从南亚高压西北部的窗口区上传至平流层,最高可到达平流层顶,而在南亚高压的其他部分,Rossby波能量均不能穿越对流层顶上传或穿越对流层顶后无法继续上传.南亚高压西北区Rossby波能量可以穿越对流层顶传播的原因是盛行西风,且西风急流出现的频率很小,同时涡动热量通量异常引起的垂直分量的第一项对其上传有很大贡献.南亚高压东北区也盛行西风,然而Rossby波能量不能向上穿越对流层顶的原因是强西风出现频率较高,且温度脊与高度脊位相相近,不利于上传.南亚高压南部均盛行东风,在平流层中下层均为稳定层结,因此Rossby波能量很难上传.南亚高压西南区在对流层位于青藏高原环流的伊朗高原下沉区附近,层结稳定,并且温度脊超前于高度脊,所以Rossby波能量很难上传.而南亚高压东南区在对流层位于南海-西太平洋热带幅合带,层结不稳定,存在Rossby波能量较弱的上传,达到对流层顶后无法继续上传,该区域温度脊落后于高度脊的温压场配置也为Rossby波能量在对流层内的传播提供了条件.     

Generation of baroclinic topographic waves by a tropical cyclone impacting a low-latitude continental shelf

Numerical model experiments have been performed to analyze the low-latitude baroclinic continental shelf response to a tropical cyclone. The theory of coastally trapped waves suggests that, provided appropriate slope, latitude, stratification and wind stress, bottom-intensified topographic Rossby waves can be generated by the storm. Based on a scale analysis, the Nicaragua Shelf is chosen to study propagating topographic waves excited by a storm, and a model domain is configured with simplified but similar geometry. The model is forced with wind stress representative of a hurricane translating slowly over the region at 6 km h⁻¹. Scale analysis leads to the assumption that baroclinic Kelvin wave modes have minimal effect on the low-frequency wave motions along the slope, and coastal-trapped waves are restricted to topographic Rossby waves. Analysis of the simulated motions suggests that the shallow part of the continental slope is under the influence of barotropic topographic wave motions and at the deeper part of the slope baroclinic topographic Rossby waves dominate the low-frequency motions. Numerical solutions are in a good agreement with theoretical scale analysis. Characteristics of the simulated baroclinic waves are calculated based on linear theory of bottom-intensified topographic Rossby waves. Simulated waves have periods ranging from 153 to 203 h. The length scale of the waves is from 59 to 87 km. Analysis of energy fluxes for a fixed volume on the slope reveals predominantly along-isobath energy propagation in the direction of the group velocity of a topographic Rossby wave. Another model experiment forced with a faster translating hurricane demonstrates that fast moving tropical cyclones do not excite energetic baroclinic topographic Rossby waves. Instead, robust inertial oscillations are identified over the slope.     

Shear flow driven magnetized planetary wave structures in the ionosphere

The generation and further linear and nonlinear dynamics of planetary ultra-low-frequency (ULF) waves are investigated in the rotating dissipative ionosphere in the presence of inhomogeneous zonal wind (shear flow). Planetary ULF magnetized Rossby type waves appear as a result of interaction of the medium with the spatially inhomogeneous geomagnetic field. An effective linear mechanism responsible for the intensification and mutual transformation of large scale magnetized Rossby type and small scale inertial waves is found. For shear flows, the operators of the linear problem are not self-conjugate, and therefore the eigenfunctions of the problem may not be orthogonal and can hardly be studied by the canonical modal approach. Hence, it becomes necessary to use the so-called nonmodal mathematical analysis. The nonmodal analysis shows that the transformation of wave disturbances in shear flows is due to the non-orthogonality of eigenfunctions of the problem in the conditions of linear dynamics. Using numerical modeling, the peculiar features of the interaction of waves with the background flow as well as the mutual transformation of wave disturbances are illustrated in the ionosphere. It has been shown that the shear flow driven wave perturbations effectively extract an energy of the shear flow increasing the own energy and amplitude. These perturbations undergo self-organization in the form of the nonlinear solitary vortex structures due to nonlinear twisting of the perturbation’s front. Depending on the features of the velocity profiles of the shear flows the nonlinear vortex structures can be either monopole vortices or vortex streets and vortex chains.     

真实基流中非线性Rossby波演变特征(二):能量、结构演变及初始场影响

针对非线性的准地转正压位涡方程,利用自行设计的差分格式和高斯函数拟合得到的真实基流分布,数值研究了线性和非线性Rossby波流场结构和总能量的演变以及初值对总能量演变的影响.发现在非线性的真实基流中,线性和非线性Rossby波的相对总能量出现振荡型增长或衰减,非线性波动的振荡周期明显小于线性波动,非线性项不仅抑制能量的...