Planetons: An example of large amplitude solitary waves     

William K. Dewar 《地球物理与天体物理流体动力学》2013,107(1-4):53-85

Abstract

The term ‘‘solitary wave'’ is usually used to denote a steadily propagating permanent form solution of a nonlinear wave equation, with the permanency arising from a balance between steepening and dispersive tendencies. It is known that large-scale thermal anomalies in the ocean are subject to a steepening mechanism driven by the beta effect, while at the smaller deformation scale, such phenomena are highly dispersive. It is shown here that the evolution of a physical system subject to both effects is governed by the ‘‘frontal semi-geostrophic equation'’ (FSGE), which is valid for large amplitude thermocline disturbances. Solitary wave solutions of the FSGE (here named planetons) are calculated and their properties are described with a view towards examining the behavior of finite amplitude solitary waves. In contrast, most known solitary wave solutions belong to weakly nonlinear wave equations (e.g., the Korteweg—deVries (KdV) equation).

The FSGE is shown to reduce to the KdV equation at small amplitudes. Classical sech² solitons thus represent a limiting class of solutions to the FSGE. The primary new effect on planetons at finite amplitudes is nonlinear dispersion. It is argued that due to this effect the propagation rates of finite amplitude planetons differ significantly from the ‘‘weak planeton'', or KdV, dispersion relation. Planeton structure is found to be simple and reminiscent of KdV solitons. Numerical evidence is presented which suggests that collisions between finite amplitude solitary waves are weakly inelastic, indicating the loss of true soliton behavior of the FSGE at moderate amplitudes. Lastly, the sensitivity of solitary waves to the existence of a nontrivial far field is demonstrated and the role of this analysis in the interpretation of lab experiments and the evolution of the thermocline is discussed.  相似文献   

地形对两次寒潮过程影响的数值模拟研究   总被引：2，自引：2，他引：2  

惠小英  罗四维 《高原气象》1993,12(3):283-293

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重力流冷锋及其受地形的影响     

肖庆农  伍荣生 《气象学报》1996,54(4):456-465

建立了一个二维非静力平衡模式，通过坐标变换的方法使得模式低层有较高的分辨率。对重力流的模拟结果显示；本模式模拟出的重力流冷锋主要特征，如抬高的头部、头部较强的上升运动以及等位温线密集带与实际大气观测很一致。此外，模式还成功地模拟出了重力流头部后面底层的高速潜流层。应用模拟结果与理论结果对重力流的移动速度进行了对比分析。当考虑地形时，重力流在山前受阻，其头部比不考虑地形时高，且产生了向上游传播的“涌浪”；重力流过山后其头部降低，位温梯度减弱，头部后面的水平速度减小。此外，还对非静力平衡与静力平衡条件下重力流的差异进行了分析讨论。  相似文献   

The tidal intrusion front: An estuarine convergence zone     

J.H. Simpson  R.A. Nunes 《Estuarine, Coastal and Shelf Science》1981,13(3):257-IN1

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一次典型梅雨锋锋面结构分析   总被引：16，自引：5，他引：11  

柳俊杰  丁一汇  何金海 《气象学报》2003,61(3):291-301

1999年梅雨期在长江中下游维持着一条典型的梅雨锋 ,锋面和梅雨雨带呈东西走向 ,从中国的四川省一直延伸到日本。锋面两侧的温度及湿度对比明显 ,并且其上有数个中间尺度的低涡沿梅雨锋依次向东移动发展 ,在长江中下游造成严重的梅雨暴雨和洪涝。文中分析了 1999年这次典型梅雨锋的锋面结构。结果表明 ,从温度场看 ,由于梅雨区对流和降水的显著发展 ,梅雨锋的低层温度对比几近消失 ,其中上部仍具有典型的上宽下窄的锋面结构 ,锋面随高度向北倾斜。在低层经向温度场呈现复杂的暖 -冷 -暖的结构 ,即北部华北平原为地面感热加热造成的相对较暖的变性极地大陆气团 ,中间为冷空气南下和降水冷却造成的相对较冷的梅雨区 ,南部是相对较暖的热带海洋气团。在这种温度场下 ,由北部低层变性暖气团与梅雨区偏冷空气形成了明显的温度对比区 ,文中定义这个区域为梅雨赤道锋。因而 ,在低层东亚梅雨区的锋区结构由梅雨赤道锋和减弱的梅雨锋构成。在 6 0 0hPa以上前者消失 ,只有单一的极锋型的梅雨锋结构。在此分析的基础上文中给出了东亚梅雨期锋面结构模型图。另外还指出 ,从假相当位温场分析 ,主要表现出梅雨区的深厚对流。降雨引起了高θse带及其南北高θse梯度区 ,其北侧高θse梯度区大致相当于梅雨锋 ,而南侧高θs  相似文献   

Characteristics and influencing factors of frontal upwelling in the Yellow Sea in summer     

Fan Sun  Fei Yu  Guangcheng Si  Jianfeng Wang  Anqi Xu  Jun Pan  Ying Tang 《海洋学报(英文版)》2022,41(7):84-96

Frontal upwelling is an important phenomenon in summer in the Yellow Sea (YS) and plays an essential role in the distribution of nutrients and biological species. In this paper, a three-dimensional hydrodynamic model is applied to investigate the characteristics and influencing factors of frontal upwelling in the YS. The results show that the strength and distribution of frontal upwelling are largely dependent on the topography and bottom temperature fronts. The frontal upwelling in the YS is stronger and narrower near the eastern coast than near the western coast due to the steeper shelf slope. Moreover, external forcings, such as the meridional wind speed and air temperature in summer and the air temperature in the preceding winter and spring, have certain influences on the strength of frontal upwelling. An increase in air temperature in the previous winter and spring weakens the frontal upwelling in summer; in contrast, an increase in air temperature in summer strengthens the frontal upwelling. When the southerly wind in summer increases, the upwelling intensifies in the western YS and weakens in the eastern YS. The air temperature influences the strength of upwelling by changing the baroclinicity in the frontal region. Furthermore, the meridional wind speed in summer affects frontal upwelling via Ekman pumping.  相似文献   

Numerical simulation of a dam break for an actual river terrain environment     

C. B. Liao  M. S. Wu  S. J. Liang 《水文研究》2007,21(4):447-460

A two‐dimensional (2D) finite‐difference shallow water model based on a second‐order hybrid type of total variation diminishing (TVD) approximate solver with a MUSCL limiter function was developed to model flooding and inundation problems where the evolution of the drying and wetting interface is numerically challenging. Both a minimum positive depth (MPD) scheme and a non‐MPD scheme were employed to handle the advancement of drying and wetting fronts. We used several model problems to verify the model, including a dam break in a slope channel, a dam break flooding over a triangular obstacle, an idealized circular dam‐break, and a tide flow over a mound. Computed results agreed well with the experiment data and other numerical results available. The model was then applied to simulate the dam breaking and flooding of Hsindien Creek, Taiwan, with the detailed river basin topography. Computed flooding scenarios show reasonable flow characteristics. Though the average speed of flooding is 6–7 m s^?1, which corresponds to the subcritical flow condition (Fr < 1), the local maximum speed of flooding is 14·12 m s^?1, which corresponds to the supercritical flow condition (Fr ≈ 1·31). It is necessary to conduct some kind of comparison of the numerical results with measurements/experiments in further studies. Nevertheless, the model exhibits its capability to capture the essential features of dam‐break flows with drying and wetting fronts. It also exhibits the potential to provide the basis for computationally efficient flood routing and warning information. Copyright © 2006 John Wiley & Sons, Ltd.  相似文献   

Low velocity shock-cloud encounters I.     

András Horváth Jr.  L. Viktor Tóth 《Astrophysics and Space Science》1995,233(1-2):169-173

Shocks propagating in the interstellar medium (ISM) play an important role in the life of molecular clouds. Through a theoretical study of interaction between clouds and shocks we can understand, for example, the density distribution of observed molecular clouds and the first steps of star formation. The only way to study of interaction in detail is via a numerical hydrodynamical simulation. In this paper we present the first results of a hydrocode which is able to follow the processes after the collision between the cloud and shock front.Our main theoretical result is that the chemical processes (e.g. H₂ dissociation) can affect the dynamical processes significantly. Global parameters of the cloud are calculated for the comparision of the simulation and the observations.  相似文献   

The generation of ionization-shock front oscillations by a variable radiation flux     

K. V. Krasnobaev 《Astronomy Letters》2002,28(9):594-600

The effect of a time-varying radiation flux incident on an ionization front on the generation of ionization-shock front oscillations in the interstellar medium is analyzed analytically and numerically. We take into account both variations in the flux of ionizing radiation directly from the source that produces the ionization front and the absorption of energetic photons by the post-front plasma. Based on our calculations, we show that the time dependence of the radiation flux can be an additional factor (apart from small inhomogeneities in the interstellar medium) that contributes to the amplification of oscillations and to the kinetic energy input to the observed turbulent motions in H II regions.  相似文献   

西北中部半干旱区兴隆山森林岛降水机理的数值模拟     

陈磊  田文寿  黄倩  黄建平  王婵  孙兰东 《高原气象》2012,31(4):885-899

通过WRF V2.1.2模式数值模拟试验并结合长期观测数据,研究了中国西北半干旱区长期存在和维持的森林山区(兴隆山区,103.84°E、35.86°N)的降水特征及其与周边地区的降水差异,并探讨了造成这种差异的主要原因。结果表明,兴隆山区与周边地区的降水差异主要表现在夏、秋季。在夏、秋季兴隆山区受东南湿润气流的影响,获得较多的水汽输入和较稳定的水汽来源,而山地地形则有利于截留东南气流携带的水汽并形成降水;兴隆山区及其周边地区局地的蒸散差异对二者之间降水差异的贡献不大。另外,兴隆山区土壤堆积覆盖的石质山构造和森林下垫面也有利于降水的截留和贮存以及植被的生长。因此,有利于水汽输入的大尺度环流形势、地形对空中水汽的截留以及特殊的地质因素是兴隆山山区孤立森林岛在半干旱区长期存在和维持的原因。  相似文献