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1.
This paper investigates the instability of Poiseuille flow in a fluid overlying a highly porous material. A two layer approach is adopted, where the Darcy–Brinkman equation is employed to describe the fluid flow in the porous medium, with a tangential stress jump boundary condition at the porous/fluid interface. The basic velocity profiles are continuous due to the interfacial boundary conditions. It is shown that for certain parameter ranges the neutral curves are no longer bimodal, such that the two modes of instability corresponding to the fluid and porous layers, respectively, are not distinct. 相似文献
2.
David R. Fearn 《地球物理与天体物理流体动力学》2013,107(1-4):55-75
Abstract The first three papers in this series (Fearn, 1983b, 1984, 1985) have investigated the stability of a strong toroidal magnetic field Bo =Bo(s?)Φ [where (s?. Φ, z?) are cylindrical polars] in a rapidly rotating system. The application is to the cores of the Earth and the planets but a simpler cylindrical geometry was chosen to permit a detailed study of the instabilities present. A further simplification was the use of electrically perfectly conducting boundary conditions. Here, we replace these with the boundary conditions appropriate to an insulating container. As expected, we find the same instabilities as for a perfectly conducting container, with quantitative changes in the critical parameters but no qualitative differences except for some interesting mixing between the ideal (“field gradient”) and resistive modes for azimuthal wavenumber m=1. In addition to these modes, we have also found the “exceptional” slow mode of Roberts and Loper (1979) and we investigate the conditions required for its instability for a variety of fields Bo(s?) Roberts and Loper's analysis was restricted to the case Bo∝s? and they found instability only for m=1 and ?1 <ω<0 [where ω is the frequency non-dimensionalised on the slow timescale τx, see (1.5)]. For other fields we found the necessary conditions to be less “exceptional”. One surprising feature of this instability is the importance of inertia for its existence. We show that viscosity is an alternative destabilising agent. The standard (magnetostrophic) approximation of neglecting inertial (and viscous) terms in the equation of motion has the effect of filtering out this instability. The field strength required for this “exceptional” mode to become unstable is found to be very much larger than that thought to be present in the Earth's core, so we conclude that this mode is unlikely to play an important role in the dynamics of the core. 相似文献
3.
Waves with a large incidence angle in deep water can drive a morphodynamic instability on a sandy coast whereby shoreline sand waves, cuspate forelands, and spits can emerge. This instability is related to bathymetric perturbations extending offshore in the shoaling zone. Here, we explore a different mechanism where the large incidence angle is supposed to occur at breaking and the bathymetric perturbations occur only in the surf zone. For wave incidence angles at breaking above ≈?45°, the one-line approximation of coastal dynamics predicts an unstable shoreline. This instability (EHAWI) is scale-free and the growth rate increases without bound for decreasing wavelength. Here we use a 2DH morphodynamic model resolving surf zone instabilities to investigate whether EHAWI could approximate a real instability in nature with a characteristic length scale. Assuming very idealized conditions on the bathymetric profile and sediment transport, we find a 2DH instability mode consisting of shore-oblique up-current bars coupled to a meandering of the longshore current. This mode grows for high-angle waves, above about 30° (offshore) and the maximum growth rate occurs for the angle maximizing the angle at breaking, about 70° (offshore). The dominant wavelength is of the order of the surf zone width. Interestingly, for long sand waves, the growth rate never becomes negative and it matches very well the anti-diffusive behavior of EHAWI. This distinguishes the present instability mode from other modes found in previous studies for other bathymetric and sediment transport conditions. Thus, we conclude that EHAWI approximates a real morphodynamic instability only for quite particular conditions. In such case, a characteristic length scale of the instability emerges thanks to surf zone processes that damp short wavelengths. 相似文献
4.
电离层不规则结构的形成和演化与电离层等离子体不稳定性密切相关 .长期以来 ,在中低纬区扩展 -F现象的研究中 ,没有考虑电离层上下层结之间的相互作用 .本文从理论上全面探讨了在中纬度地区 ,E区可变的Pedersen电导率和Hall电导率 ,与F区可变的Pedersen电导率的共同作用对F区梯度漂移不稳定性的影响 ,导出了存在这种耦合时电离层梯度漂移不稳定性的统一表达式 .这一耦合理论不但解释了实际观测中发现的 ,在某些地方电离层F区顶部的不稳定性发生率要高于F区底部这一现象 ;同时还表明 ,电离层E区与F区的耦合对F区夜晚梯度漂移不稳定性的形成不仅会有阻碍作用 ,同时还使得中、低纬度地区的扰动增长具有了方向的选择性 .该理论的一个重要结论是 ,F区中某一地区能否发展出梯度漂移不稳定性 ,并不完全由当地电离层F区的状态决定 ,同一根磁力线连接的、位于不同纬度地区的E区层结对其发展和演化也会有相当大的影响 . 相似文献
5.
Multi-nest high-resolution model of submesoscale circulation features in the Gulf of Taranto 总被引：1，自引：1，他引：0
Francesco Trotta Nadia Pinardi Elisa Fenu Alessandro Grandi Vladyslav Lyubartsev 《Ocean Dynamics》2017,67(12):1609-1625
Recent oceanographic field measurements and high-resolution numerical modelling studies have revealed intense, transient, submesoscale motions characterised by a horizontal length scale of 100–10,000 m. This submesoscale activity increases in the fall and winter when the mixed layer (ML) depth is at its maximum. In this study, the submesoscale motions associated with a large-scale anticyclonic gyre in the central Gulf of Taranto were examined using realistic submesoscale-permitting simulations. We used realistic flow field initial conditions and multiple nesting techniques to perform realistic simulations, with very-high horizontal resolutions (> 200 m) in areas with submesoscale variability. Multiple downscaling was used to increase resolution in areas where instability was active enough to develop multi-scale interactions and produce 5-km-diameter eddies. To generate a submesoscale eddy, a 200-m resolution was required. The submesoscale eddy was formed through small-scale baroclinic instability in the rim of a large-scale anticyclonic gyre leading to large vertical velocities and rapid restratification of the ML in a time-scale of days. The submesoscale eddy was confirmed by observational data from the area and we can say that for the first time we have a proof that the model reproduces a realistic submesoscale vortex, similar in shape and location to the observed one. 相似文献
6.
An approach to spatially distribute a snow process model by segmenting images of land cover, terrain and snow properties is reported. A small 1.7 ha study area with an existing database was selected for this preliminary evaluation. The methodology was carried out over a relatively flat valley bottom at Camp Grayling, Michigan. Meteorological measurements on two sides of the area showed only small differences, so uniform meteorological variables were assumed over the site. Initial snow cover conditions were reconstructed and were distributed over the area using snow maps and sparse snow pit measurements. One metre resolution terrain, soil, vegetation and snow type maps were individually processed into class maps. These layers were then combined to produce a segmented class map, where the attributes from the data layers were known for each class. A one-dimensional model of snow processes was run for each class, then the results were mapped back into images. Shallow snow conditions provided high sensitivity of ablation patterns to meteorological conditions over a 72 h period. The model performance was assessed by comparing predicted and observed ablation patterns. The error in total snow-covered area was less than 9%. However, the location errors were greater (predicted snow where no snow was observed and observed snow where no snow was predicted). Extensive error analysis was not justified because of the lack of multiple point measurements of snow properties. 相似文献
7.
我们把处于亚失稳阶段的断裂简称为亚失稳断裂,亚失稳阶段是断层临近失稳的最后阶段,识别这个阶段并判断出地震最终的发生位置是一个关键的科学问题.参考实验室关于断层亚失稳应力状态的研究结果,以6.8级以上地震为研究的目标地震,提出判定具备发生6.8级以上地震的亚失稳断裂研究方法：①构造区Benioff应变积累支持6.8级以上地震发生;②从高应变积累构造区中找出高应变积累且应变开始缓慢释放的断裂;③区分断裂的积累段和释放段,根据断裂释放段的协同化程度判定其是否处于亚失稳阶段,寻找失稳部位;④断裂Benioff应变是否符合加速释放模型,分析亚失稳断裂发震的紧迫性.本文以南天山西段为研究区,使用亚失稳断裂判定方法对2008年10月5日乌恰6.8级地震进行回溯性研究,结果显示卡兹克阿尔特断裂在主震前具备上述4个条件,预测取得较好的效果;进而使用该方法对研究区现今应力状态进行探索性预测研究,发现目前柯坪断裂符合亚失稳状态条件的前三条,需关注该断裂的地震活动. 相似文献
8.
William Blumen 《地球物理与天体物理流体动力学》2013,107(4):265-272
Abstract The process of wave steepening in Long's model of steady, two-dimensional stably stratified flow over orography is examined. Under conditions of the long-wave approximation, and constant values of the background static stability and basic flow, Long's equation is cast into the form of a nonlinear advection equation. Spectral properties of this latter equation, which could be useful for the interpretation of data analyses under mountain wave conditions, are presented. The principal features, that apply at the onset of convective instability (density constant with height), are: i) a power spectrum for available potential energy that exhibits a minus eight-thirds decay, in terms of the vertical wavenumber k z -; ii) a rate of energy transfer across the spectrum that is inversely proportional to the wavenumber for large k z -; iii) an equipartition between the kinetic energy of the horizontal motion and the available potential energy, under the longwave approximation, although all the disturbance energy is kinetic at the point where convective instability is initiated. It is also shown that features i) and ii) apply to more general conditions that are appropriate to Long's model, not just the long-wave approximation. Application to fully turbulent flow or to conditions at the onset of shearing instability are not considered to be warranted, since the development only applies to conditions at the onset of convective instability. 相似文献
9.
工程场地地震安全性评价、特别是在地震小区划工作中,对地震滑坡的评价通常采用定性分析方法,因此,对其影响范围未给出定量的评价结果。本文以吕梁新城地震小区划滑坡评价为例,通过对该区的地质条件、地貌特征的研究,针对具有典型特征的剖面,选取地震力、内聚力、摩擦角作为影响因子,采用离散单元法(DEM)对潜在滑坡体的稳定性进行了数值模拟计算,得到了可能失稳的滑坡体潜在滑动的影响范围。并在此基础上通过对已知滑坡与潜在滑坡剖面结构特征的类比,对整个研究区内滑坡体的影响范围进行了评价。研究结果可为吕梁新城的规划提供依据,也可为同类工程中地震滑坡灾害的定量评价提供参考。 相似文献
10.
11.
José J. del Alonso Rosario M. Arias Ballesteros P. Villares Durán 《Stochastic Environmental Research and Risk Assessment (SERRA)》2007,21(3):259-272
The generation of internal lee waves (ILW) in the Strait of Gibraltar takes place in the main sill where the tidal flow interacts
with a submarine obstacle. The tidal flow is perturbed by subinertial phenomena of different nature summarized in the subinertial
currents that can inhibit the ILW generation. The authors present an attempt to randomize the problem by the introduction
of a Gaussian noise in the Taylor–Goldstein equation. The random number sets are generated from the statistical distribution
of the previously isolated random part of the subinertial currents from experimental data taken in the area during the Gibraltar
Experiment 94–96. The effect of the noise is translated into a continuous spreading of the spectrum around the solution of
the noise-free problem. A stability analysis is carried out in order to determine the single neutral modes of oscillations
and the phase space is divided onto regions of stability and instability as a function of the inflowing subinertial current.
The methodology and results could be useful for the design and timing of oceanographic surveys in straits where the ILWs occur. 相似文献
12.
根据平截面假定,考虑超高桥墩大位移变形产生的几何非线性影响,建立超高桥墩的振动控制微分方程,利用变步长的龙格-库塔法进行求解,结合B-R运动判定准则,对超高桥墩在地震作用下的动力失稳机理进行研究。理论分析表明,超高桥墩的动力失稳与桥墩的几何尺寸、质量分布、边界条件有密切关系;桥墩动力失稳时刻随地震波加速度峰值的增大而减小;失稳时刻与失稳加速度荷载有对应关系。算例结果表明:本文方法正确,利用本文理论能够准确计算超高桥墩的失稳时刻及失稳加速度,对超高桥墩动力失稳的理论分析及工程实践有重要指导意义。 相似文献
13.
WLADIMIR BLEUTEN 《水文科学杂志》2013,58(5):575-588
Abstract In the central part of the Netherlands, a 20 km2 drainage basin contains a morainic ridge of Pleistocene sandy deposits and a backswamp area where the sandy subsoil is covered with river clay deposits. Agricultural and “natural” ecosystems are present in both parts. A continuous groundwater flow exists from the ridge to the clay area. A channel network drains the area. For these channels a two-dimensional model for simulating discharge and water quality has been developed. In computations, discharges and concentrations in groundwater, precipitation, and overland flow are treated separately. With a model option for calculating the effects of land use changes, water quality was calculated for base-line conditions. Mean nitrate concentrations were 1/2 to 1/7 of the actual concentrations, mainly caused by manure inputs. Storm events occasionally give very high concentrations, also under base-line conditions. Therefore base-line conditions for ions cannot be described as a single steady value. 相似文献
14.
S.A. Thorpe 《地球物理与天体物理流体动力学》2013,107(1):59-74
The effects of finite amplitude are examined in two-dimensional, standing, internal gravity waves in a rectangular container which rotates about a vertical axis at frequency f/ 2. Expressions are given for the velocity components, density fluctuations and isopycnal displacements to second order in the wave steepness in fluids with buoyancy frequency, N , of general form, and the effect of finite amplitude on wave frequency is given in an expansion to third order. The first order solutions, and the solutions to second order in the absence of rotation, are shown to conserve energy during a wave cycle. Analytical solutions are found to second order for the first two modes in a deep fluid with N proportional to sech( az ), where z is the upward vertical coordinate and a is scaling factor. In the absence of rotation, results for the first mode in the latter stratification are found to be consistent with those for interfacial waves. An analytical solution to fourth order in a fluid with constant N is given and used to examine the effects of rotation on the development of static instability or of conditions in which shear instability may occur. As in progressive internal waves, an effect of rotation is to enhance the possibility of shear instability for waves with frequencies close to f . The analysis points to a significant difference between the dynamics of standing waves in containers of limited size and progressive internal waves in an unlimited fluid; the effect of boundaries on standing waves may inhibit the onset of instability. A possible application of the analysis is to transverse oscillations in long, narrow, steep-sided lakes such as Loch Ness, Scotland. 相似文献
15.
Channel instability has occurred in the Bell River in the form of meander cutoffs, a number of which have occurred since 1952. Increased sediment loading from widespread gully erosion in the catchment has been proposed as the trigger for this instability. Willow species of the Salix family, in particular S. caprea, have been planted along the banks in an effort to prevent further channel shifting. This study reports the results of an investigation into the effect of vegetation on channel form and stability over a 17 km stretch of channel. Results indicate that riparian vegetation has significant effects on channel form which have implications for channel stability. Riparian vegetation increases bank stability and reduces channel cross-sectional area, thereby inducing stability at flows less than bankfull. Evidence indicates that narrow stable stretches are associated with relatively high levels of riparian vegetation. Wider, unstable channels are associated with relatively less riparian vegetation. The effectiveness of riparian vegetation relative to bank sediments was investigated. A dense growth of willows was found to have an equivalent effect to banks with a silt-clay ratio of about 70 per cent. The channel narrowing induced by vegetation may contribute to channel shifting at high flows. The reduced channel capacity is thought to result in more frequent overbank flooding which may ultimately lead to channel avulsion. Thus where increased sediment loading is pushing the channel towards instability, vegetation may be effective in imparting local stability, but it is unable to prevent long-term channel shifts, and may rather help to push the system towards more frequent avulsions. Copyright © 1999 John Wiley & Sons, Ltd. 相似文献
16.
Field observations of tidally driven stratified flow in the sill area of Knight Inlet (British Columbia) revealed a very complicated structure, which includes solitary waves, upstream bifurcation, hydraulic jump and mixing processes. Recent observations suggest that the flow instabilities on the plunging pycnocline at the lee side of the sill may contribute to solitary wave generation through a subharmonic interaction. The present study reports on a series of numerical experiments of stratified tidal flow in Knight Inlet performed with the help of a fine resolution fully non-linear non-hydrostatic numerical model. The model reproduces all important stages of the baroclinic tidal dynamics observed in Knight Inlet. Results demonstrate that solitary waves are generated apart from the area of hydrodynamic instability. Accelerating tidal flux forms a baroclinic hydraulic jump just above the top of the sill, whereas the bifurcations and zones of shear instabilities are formed downstream of the sill. The first baroclinic mode having the largest velocity escapes from the generation area and propagates upstream, disintegrating further into a packet of solitary waves reviling the classical “non-subharmonic” mechanism of generation. The remaining part of the disturbance (slow baroclinic modes) is arrested by tidal flow and carried away to the lee side of the obstacle, where shear instability, billows and mixing processes are developed. Some sensitivity runs were performed for different value of tidal velocity. 相似文献
17.
The adjustment of the bankfull channel area in the Lower Yellow River has been dramatically affected by altered flow regimes caused by human activities. This paper presents a study on the effects of altered discharge and suspended sediment load on the bankfull area at Gaocun, a representative hydrometric station in the Lower Yellow River. The analysis demonstrates the cumulative effect of previous years' flow and sediment conditions on channel adjustment, a phenomenon commonly occurring in geomorphic systems due to the delayed channel response to flow and sediment conditions. A methodology for the prediction of bankfull area was developed based on the general concept that the rate of adjustment is proportional to the difference between the bankfull area and its equilibrium value. The proposed methodology is not only applicable for the prediction of the bankfull area in response to the changes in flow and sediment conditions in the Lower Yellow River, but can also be extended to other studies where the response times have a key role to play in the assessment of channel adjustment to external changes. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
18.
Jon Albretsen 《Ocean Dynamics》2007,57(4-5):287-304
We perform eddy-permitting to eddy-resolving simulations of the Skagerrak/northern North Sea with a terrain-following numerical
ocean model. We demonstrate that realistic representations of freshwater input are not required when the focus is on modelling
mesoscale structures such as meanders and eddies. To arrive at this conclusion, we analyze the results using a recently developed
energy diagnostic scheme to study the sensitivity to realistic representations of the lateral freshwater flux provided to
the area from the Baltic Sea and by the major rivers. The scheme is suitable for analysis of growth of instabilities, and
it has four basic instability processes prominent. We recognize both horizontal and vertical shear instabilities. There are
two processes where average potential energy is converted to eddy kinetic energy, and they are related to the mean gradient
in surface elevation and the mean lateral density gradient, respectively. The latter process is known as frontal instability.
We demonstrate that the change in the eddy kinetic energy field is small, despite the large variations in the hydrographic
properties from experiment to experiment. Moreover, generation of eddy activity appears at the same locations and with approximately
the same strength regardless of actual representations of freshwater input. Furthermore, we find that vertical shear instability
dominates the energy conversion processes in the Norwegian Coastal Current. Finally, we find that the areas off the northwest
coast of Denmark recognized with enhanced eddy kinetic energy level is not caused by instability processes but eddy–eddy interaction
rooted in variations in the sea level. 相似文献
19.
Abstract It is shown that in the Earth's core, where the geodynamo is at work (and is supplied with energy by the prevailing unstable density stratification), a buoyancy instability of a local character exists which is highly supercritical. This instability results in fully developed turbulence dominated by small scale vortices. The influence of the Earth's rotation and of the magnetic field produced by the geodynamo makes this small scale turbulence highly anisotropic. A qualitative picture of this local anisotropic turbulence is devised and the main parameters characterizing it are estimated. Expressions for the turbulent diffusivity are developed and discussed. 相似文献
20.
Traditionally, earth scientists assess landslide occurrence on the basis of geomorphological investigations carried out through aerial photograph interpretation and ?eldwork. Conversely, local administrators primarily evaluate the impact of natural catastrophes, such as landsliding, on the basis of historical records and data. Owing to the substantial difference in the structure and spatial density of these two types of information, it is dif?cult to compare them directly and few investigators have attempted this. We compared landslide information derived from geomorphological mapping and historical data in a pilot area (the Staffora river basin, northern Italy). To do this we generated two multivariate statistical models where the dependent variable was either the mapped landslide deposits (geomorphological model), or the historical sites affected by landslide‐induced damage (historical model). By quantitatively comparing these two model maps, we demonstrate that the geomorphological model performs better in terms of percentage of terrain units correctly predicted as stable or unstable. The historical model underestimates landslide hazard mainly where human structures are lacking. However, it highlights slopes where landslide movements take place with a high frequency at the temporal scale of human life. Hence, the joint use of these two models may facilitate the knowledge of the overall instability conditions of a given region and the identi?cation of the landslides that are most frequently reactivated. Copyright © 2003 John Wiley & Sons, Ltd. 相似文献