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1.
曾侃  李恒宇 《海洋与湖沼》2019,50(4):799-810
本文运用基于自适应网格的流体动力学开源软件Gerris,来建立基于Boussinesq近似下的二维不可压缩Euler方程组的数值模型,以模拟不同层化条件下稳定状态的完全非线性大振幅内孤立波。文中比较了完全非线性的用Gerris实现的Euler模型与弱非线性的KdV理论模型在刻画大振幅内孤立波结构及特征参数上的差异,说明在模拟大振幅内孤立波时,高阶非线性不应忽略。Euler模型模拟结果表明,完全非线性大振幅内孤立波的等密度面半宽度随深度变化,这使得基于KdV方程解析解、利用卫星SAR(Synthetic Aperture Radar)图像提取内孤立波极值间距来反演内波振幅的可行性存疑,需要重新评估。此外,本文用两组实测数据验证了用Gerris实现的Euler模型模拟大振幅内波的有效性。  相似文献   

2.
基于布放在南海东北部陆坡海域的5套潜标观测到的内孤立波波列数据和孤立波扰动KdV(PKdV)理论,研究内孤立波在趋浅陆架上的传播特征。得出如下结果:1)观测到的内孤立波属于C型内孤立波,即平均重现周期为(23.41±0.31)h。2)内孤立波在西传爬坡过程中,其振幅表现为先增大后减小再增大,与该海域温跃层深度的变化趋势一致;由观测数据和理论计算得到的孤立波振幅增长率(SAGR)数值接近,表明该海域的内孤立波的振幅变化可以采用由孤立波PKdV方程导出的趋浅温跃层理论来描述。3)随着水深变浅,内孤立波传播方向向北偏移,传播速度减小,即在A,B和D站位,传播方向分别为279°,296°和301°,偏转角度达22°;传播速度分别为2.36,2.23和1.47 m/s,减小38%。  相似文献   

3.
The paper analyses the effect of non-linearity and bottom friction on propagation of tsunami-type surface waves from the abyssal part of the Black Sea towards the shelf zone. The study relies, on numerical solution of unidimensional non-linear equations for long waves, using the finite-difference technique. Numerical experiments have been conducted for the bottom profile continental slope and shelf, with the full wave reflection being prescribed at a 10-m depth contour. It has been shown that the major role in transforming solitary waves belongs to non-linear topographic factors rather than to dissipation. The reflected wave has been found to be non-linearly distorted, and wave heights in the Black Sea coastal zone have been found to increase by many times. Translated by Vladimir A. Puchkin.  相似文献   

4.
The paper analyses the transformation of tsunami-type solitary waves, propagating from the abyssal part of the Black Sea towards its shelf zone. The study is performed by solving numerically unidimensional non-linear equations for non-dispersive long waves, using the finite-difference slope and shelf, with the full wave reflection prescribed at a 10 m depth contour. The non-linearity of the process is shown to throughly impact the reflection of waves by the shore and the shape of the reflected wave. Tsunami wave heights have been seen to increase by several times in the Black sea shelf area. Translated by Vladimir A. Puchkin.  相似文献   

5.
通过模型实验,研究了下沉型内孤立波通过山脊地形演化特征。实验以三角形障碍物模拟海底山脊地形,采用两种密度的分层水,对上层流体和下层流体的高度比、密度等进行了量化处理。实验研究表明:KdV理论波形可较好模拟本次实验内孤立波波形,但随着内孤立波振幅的增大,误差增加;在内孤立波与障碍物微量作用、中度作用和破波作用三种程度的相互作用中,内孤立波过障碍物具有不同的波形变化和主波能量衰减率。  相似文献   

6.
To improve the current understanding of the reduction of tsunami-like solitary wave runup by the pile breakwater on a sloping beach, we developed a 3D numerical wave tank based on the CFD tool OpenFOAM in this study. The Navier Stokes equations were applied to solve the two-phase incompressible flow, combined with an LES model to solve the turbulence and a VOF method to capture the free surface. The adopted model was firstly validated with existing empirical formulas for solitary wave runup on the slope without the pile structure. It is then validated using our new laboratory observations of the free surface elevation, the velocity and the pressure around a row of vertical slotted piles subjected to solitary waves, as well as the wave runup on the slope behind the piles. Subsequently, a set of numerical simulations were implemented to analyze the wave reflection, the wave transmission, and the shoreline runup with various offshore wave heights, offshore water depths, adjacent pile spaces and beach slopes. Finally, an improved empirical equation accounting for the maximum wave runup on the slope was proposed by taking the presence of the pile breakwater into consideration.  相似文献   

7.
The structure, evolution, and breaking of a tidal internal wave on a steep shelf are discussed on the basis of the data of temperature measurements. The bottom slope at the measurement site is close to the critical slope for a tidal wave. The tidal wave and other waves are inclined coastward. The tidal-wave amplitude increases monotonically with increasing horizon depth. The tidal wave is nonlinear in amplitude and turns over on the outer shelf. On the inner shelf, the internal wave is close in shape to rectangular and generates harmonics of its own. The harmonics make the tidal wave steeper and form solitary rises similar to bilateral bores. All these features ensure a more rapid sink for the internal-tide energy.  相似文献   

8.
In this article, tsunamis represented as solitary waves was simulated using the fully nonlinear free surface waves based on Finite Element method developed by Sriram et al. (2006). The split up of solitary wave while it propagates over the uneven bottom topography is successfully established. Wave transmission and reflection over a vertical step introduced in the bottom topography is in good agreement with the experimental results from Seabra-Santos et al. (1987). The wave transformation over a continental shelf with different smooth slopes reveals that the solitary wave reflection increases while the continental slope varies from flat to steep. The interaction of the solitary wave with a vertical wall for different wave steepness has been analysed. The reflected shape of the profile is in good agreement with the observation made by Fenton and Rienecker (1982) and an increase in wave celerity is observed.  相似文献   

9.
This study numerically and experimentally investigates the effects of wave loads on a monopile-type offshore wind turbine placed on a 1: 25 slope at different water depths as well as the effect of choosing different turbulence models on the efficiency of the numerical model. The numerical model adopts a two-phase flow by solving Unsteady Reynolds-Averaged Navier-Stokes(URANS) equations using the Volume Of Fluid(VOF) method and three different turbulence models. Typical environmental conditions from the East China Sea are studied. The wave run-up and the wave loads applied on the monopile are investigated and compared with relevant experimental data as well as with mathematical predictions based on relevant theories. The numerical model is well validated against the experimental data at model scale. The use of different turbulence models results in different predictions on the wave height but less differences on the wave period. The baseline turbulence model and Shear-Stress Transport(SST) turbulence model exhibit better performance on the prediction of hydrodynamic load, at a model-scale water depth of 0.42 m, while the laminar model provides better results for large water depths. The SST turbulence model performs better in predicting wave run-up for water depth 0.42 m, while the laminar model and standard model perform better at water depth 0.52 m and 0.62 m, respectively.  相似文献   

10.
A total variation diminishing Lax–Wendroff scheme has been applied to numerically solve the Boussinesq-type equations. The runup processes on a vertical wall and on a uniform slope by various waves, including solitary waves, leading-depression N-waves and leading-elevation N-waves, have been investigated using the developed numerical model. The results agree well with the runup laws derived analytically by other researchers for non-breaking waves. The predictions with respect to breaking solitary waves generally follow the empirical runup relationship established from laboratory experiments, although some degree of over-prediction on the runup heights has been manifested. Such an over-prediction can be attributed to the exaggeration of the short waves in the front of the breaking waves. The study revealed that the leading-depression N-wave produced a higher runup than the solitary wave of the same amplitude, whereas the leading-elevation N-wave produced a slightly lower runup than the solitary wave of the same amplitude. For the runup on a vertical wall, this trend becomes prominent when the wave height-to-depth ratio exceeds 0.01. For the runup on a slope, this trend is prominent before the strong wave breaking occurs.  相似文献   

11.
Several ray-type 1D and 2D KdV equations for two-layer stratified ocean with topographic effect are derived in detail in the present study.A simplified version of these equations,ray type 1D KdV equation,is used to calculate numerically the disintegration of initial interface soliton from the deep sea to the continental shelf.At the same time,a laboratory experiment is carried out in a 2D stratified flow and internal wave tank to examine the numerical results.A comparison of the numerical results with the experimental results shows that they are in good agreement.The numerical results also show that the ray-type KdV equation has high accuracy in describing the evolution of initial interface waves in shelf/slope regions.Form these results,it can be concluded that the fission process is a dominant generating mechanism of interface soliton packets on the continental shelf.  相似文献   

12.
安达曼海是内孤立波生成最多的海域之一,目前对其研究大多基于卫星遥感,缺乏基于现场观测资料的相关研究。本文通过2016年至2017年布放在安达曼海中部的锚系潜标对该海域内孤立波的方向和强度进行研究,结果表明在研究区域内孤立波主要向东北方向传播,最大振幅可达100 m。应用彻体力理论预测了研究海域内孤立波波源的分布,与遥感统计结果基本一致,并且波源位置更精确,可直观地给出不同波源激发内孤立波的能力。本文分别用浅水方程、深水方程和有限深方程对安达曼海中部内孤立波相速度进行模拟,结合卫星遥感分析发现该海域内孤立波的产生符合Lee波机制,在三种方程中有限深方程的模拟效果与潜标观测最相符。  相似文献   

13.
Experimental data on the measurement of solitary internal waves in the coastal zone of the Sea of Okhotsk are reported. The non-linear and dispersion coefficients of the Korteweg-de Vries (KdV) equation are determined for weakly non-linear disturbances of the first mode. The shapes and parameters of solitary waves are compared with the corresponding parameters of solitons. It is shown that at least ten observed solitary waves are similar to the KdV solitons. Histograms of the distribution of the amplitudes, duration, and spatial dimensions are plotted for a large number of solitary waves.Translated by Mikhail M. Trufanov.  相似文献   

14.
基于弱二维的KP方程,并结合南中国海东沙群岛附近内孤立波的观测资料,模拟了内孤立波的波-波相互倌用0数值结果较好的反应了内孤立波的二维特征,同时体现两个内孤立波波-波相互作用的非线性特征,即两波相交处相速随振幅的增大而变大。相比于一维的KdV方程,KP在内孤立波的仿真反演方面具有更大的优势。  相似文献   

15.
内孤立波浅化破碎过程斜坡沉积物孔压响应特征实验分析   总被引:2,自引:2,他引:0  
观测资料显示内孤立波沿斜坡浅化过程对海底沉积物的作用犹如一台水中吸尘器,在破碎转换阶段达到最强,甚至会触发一系列地质活动,引发地质灾害。为界定此过程中沉积物的动力响应特征和影响因素,在大型重力式分层流水槽中模拟不同振幅内孤立波和不同类型沉积物斜坡连续作用过程,利用孔隙水压力采集系统实时记录孔隙水压力变化,对比分析不同水动力、坡度、沉积物类型情况下沉积物中超孔压变化特征。分析结果表明,内孤立波破碎过程,破波位置海床表层波压力和不同深度超孔隙水压力都存在相似的"U"型负压力变化过程;破碎波经过位置沉积物表现为和表面波压力正相关的孔压响应特征。破碎点沉积物中超孔压幅值随深度减小,约在6%波长深度位置减少到坡面压力的50%。超孔压幅值和内孤立波振幅、沉积物类型和斜坡度密切相关,坡度由0.071变化到0.160时,波压力幅值可增大至1.6倍。内孤立波振幅变化不影响不同类型海床土动力响应规律,只与超孔隙水压力值大小有关,内孤立波对海床的动力作用可认为弹性作用。  相似文献   

16.
为研究内孤立波的地形和背景流共振机制,用地形和背景流共振机制计算了3个潜标观测的内孤立波(不同模态、不同波长)的流速和传播速度,并与观测到的内孤立波进行比较。潜标观测的第一模态内孤立波(波长分别为6.4和3.3km)都是下凹型内孤立波,2个内孤立波的传播速度约为1.4m/s、最大振幅约为48m,水平流向结构都是上层西北向、下层东南向,波长3.3km 的内孤立波波峰前后有更明显的下降流和上升流。用共振机制计算出的第一模态和第二模态纬向流速的垂向结构与观测相同,最大纬向流速出现的深度与观测一致,分别相差5和12m。用共振机制计算出的内孤立波传播速度与用 KdV 方程计算的传播速度相当,共振机制计算波速为0.66~1.21m/s,KdV 方程计算波速为0.79~1.40m/s。  相似文献   

17.
漫长狭窄的马六甲海峡是重要的航道,研究该海峡内孤立波特征对潜艇、船只航行和海洋工程都是急需解决的问题。利用高空间分辨率的哨兵1号(Sentinel-1)和高分三号(GF-3)SAR遥感数据,对马六甲海峡的内孤立波特征开展了详细研究。利用哨兵一号2015年6月到2016年12月20景有内孤立波的SAR图像和高分三号2018年4月到2019年3月24景有内孤立波的SAR图像,统计分析了马六甲海峡海域的内孤立波空间分布特征。发现内孤立波多以内孤立波包以及单根内孤立波形式出现,内孤立波头波的波峰线最长可达39km。采用高阶非线性薛定谔方程反演模型可以计算出内孤立波的振幅与群速度,计算得到的内孤立波振幅和波包的传播群速度分别为4.7m ~ 23.9m和0.12m/s ~ 0.40m/s。由KdV方程得到的单根内孤立波的相速度为0.26m/s ~ 0.60m/s。可以得到,马六甲海峡内孤立波的振幅与传播速度与地形密切相关。  相似文献   

18.
为研究内孤立波与沙波的相互作用,本文对基于OpenFOAM的SedWaveFoam求解器进行改进,建立了内孤立波-泥沙运动欧拉两相流模型。在利用试验资料对模型进行验证的基础上,在南海北部典型代表性条件下,模拟分析了500 m水深位置沙波床面上内孤立波作用下的水动力变化和泥沙运动。结果表明,内孤立波逐渐离开沙波时,海底沙波背流面处出现与内孤立波背景流速反向的流速,在内孤立波导致的流场作用下,沙波床面上的泥沙悬起并运动到床面以上的水体中。振幅100 m的内孤立波可以导致床面以上14 m高的位置处出现约0.07 kg/m3的悬沙浓度。  相似文献   

19.
为获取南海北部陆坡海区第一模态内孤立波的动力结构及时间变化特征,本文利用该海区1套内孤立波浮标观测数据,对陆坡海区的内孤立波现场观测数据分析,识别判定了2021年5月5日至6月3日共30 d的179次第1模态内孤立波过程,并进行了内孤立波的特征分析。南海北部陆坡海区第1模态内孤立波剖面流场为双层结构,上层主要为西偏北向流动,下层流向与之相背,流速转向发生在100~150 m深度处。内孤立波期间,最大流速多发生于上层,流速为60~120 cm/s,底层流增强,上层流与下层流流向相反。受内潮影响,研究区域内孤立波存在半日和全日2个周期,主要以20~30 min间隔的波列形式向西偏北方向传播。本文关于南海北部陆坡海区第一模态内孤立波的分析研究有助于提升对该海区内孤立波时空变化特征的认识,为工程水下施工提供参考和依据。  相似文献   

20.
为完善内孤立波与海底斜坡沉积物相互作用研究,本文着眼于内孤立波破碎后在斜坡上继续运动的阶段,开展物理模拟实验,分析斜坡响应的土压力和超孔隙水压力的变化状况,揭示内波作用过程。研究发现:斜坡沉积物颗粒在内孤立波破碎引起的涡旋和渗流的共同作用下,会发生再悬浮,斜坡坡度变化不改变沉积物产生动力响应的主导动力作用;内孤立波振幅大小影响涡旋与渗流两者的比例,即在小振幅条件下由涡旋作用主导,在大振幅条件下由渗流作用主导;破碎流体在沿斜坡冲出坡顶位置后形成新的涡流,沉积物在新生涡流作用下的动力响应受斜坡坡度的影响。本文结果对于研究内孤立波再悬浮运移海底沉积物、改造海底地形地貌具有参考价值。  相似文献   

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