内孤立波与海脊相互作用的模拟研究

A nonhydrostatic numerical model was developed and numerical experiments performed on the interaction of an internal solitary wave(ISW) with a sill, for a two-layer fluid with a diffusive interface. Based on the blocking parameter(Br), the flow was classified into three cases:(1) when bottom topography has little influence on the propagation and spatial structure of the ISW(Br0.5),(2) where the ISW is distorted significantly by the blocking effect of the topography(though no wave breaking occurs,(0.5Br0.7), and(3) where the ISW is broken as it encounters and passes over the bottom topography(0.7Br). The numerical results obtained here are consistent with those obtained in laboratory experiments. The breaking process of the incident ISW when Br≈0.7 was completely reproduced. Dissipation rate was linearly related to the blocking parameter when Br0.7, and the maximum dissipation rate could reach about 34% as Br raised to about 1.0. After that, instead of breaking, more reflection happened. Similarly, breaking induced mixing was also most effective during Br around 1.0, and can be up to 0.16.     

Monthly variation of some parameters about internal solitary waves in the South China sea

In this paper, by non-dimensional analysis, it is found that finite-depth theory is more appropriate to the study of internal solitary waves (ISWs) in the South China Sea (SCS) than shallow-water theory. The 1-degree grid data of monthly mean temperature and salinity data at standard levels in the SCS are used to solve the linearized vertical eigenvalue problem. The nonlinear parameter and the wave phase speed are computed, then the nonlinear phase speed and the characteristic half-width of ISWs are calculated respectively by two different theories to investigate the difference between these two parameters in the SCS. The nonlinearity is the strongest near the continental slope of the SCS or islands where the bottom topography changes sharply, it is stronger in summer than that in winter; it increases (decreases) as pycnocline depth deepens (shallows), stratification strengthens (weakens) and pycnocline thickness thins (thickens). The nonlinear wave phase speed and the characteristic half-width are the largest in deep sea area, they then reduce peripherally in shallower water. The nonlinear wave phase speed in the SCS changes slightly with time, but the characteristic half-width changes somewhat larger with time. In most of the SCS basin, the nonlinear wave phase speed derived from shallow-water theory is very close to that derived from finite-depth theory, but the characteristic half-width derived from shallow-water theory is about 0.2–0.6 times larger than that derived from finite-depth theory. The ISW induced horizontal current velocity derived from shallow-water theory is larger than that derived from finite-depth theory. Some observed and numerical modeled ISW characteristic half-widths are compared with those derived from shallow-water and finite-depth theories, respectively. It is shown that, the characteristic half-widths derived from finite-depth theory agree better with observational and numerical modeled results than those derived from shallow-water theory in most cases, finite-depth theory is more applicable to the estimation of ISW characteristic half-widths in the northern SCS. It is also suggested that, to derive the precise ISW parameters in further study, the physical non-dimensional ratios which are related with ISW characteristic half-width, amplitude, thermocline and water depths should be calculated, so that an appropriate theory can be chosen for estimation.     

南海北部内孤立波数学模型

在二层内潮数学模型的基础上,考虑非静力平衡扰动压力的影响,导出潮频内孤立波产生、传播的数学模型。该模型不受小地形假设的限制,并适用于南海。应用该模型能解释说明产生以下现象的物理机制：潮流流过巴坦-萨布坦海脊时,在一定海洋环境条件下,通过潮流与起伏的底地形相互作用可激发产生潮频内孤立波,并西传至东沙群岛附近的海域。     

海洋中地形强迫的孤立涡旋的演变及其相互作用

建立了一个描述中尺度涡的新的非线性方程,然后利用变分原理研究了孤立涡旋的Liapunov稳定性,指出反气旋和气旋涡都是稳定的。数值计算结果发现在β效应的作用下这些涡旋都向西移动而不存在向南的移动,然而在反气旋涡的上游存在一个孤立地形(例如海山)的话,孤立地形会使反气旋涡向南移动,而且移动的轨迹取决于孤立地形的位置。当两个反气旋涡同时存在并发生相互作用时,上游孤立地形使这两个反气旋涡产生弱合并并出现弱分离。而且孤立地形的位置对这两个涡的移动和旋转有重要影响。     

孤立波作用下淹没垂直桩柱局部冲刷试验研究

孤立波在近岸地区会引起剧烈的泥沙运动,导致采用淹没式桩基础的近海建筑物周围发生局部冲刷,严重影响近海建筑物的稳定性。采用中值粒径为0.22 mm的均匀沙在波浪水槽中布置平底沙床,在两种不同桩径条件下,对孤立波作用下淹没桩周围的冲刷发展过程进行了记录分析,探讨入射波高及淹没率对局部冲刷的影响,并从冲刷形态方面对比分析了孤立波与单向水流、规则波作用下局部冲刷的异同。结果表明:在相同淹没率条件下,随着入射波高的增大,桩周冲刷形态由双喇叭型向瞬态型冲刷形态发展;在相同入射波高条件下,桩高与桩径比h_c/D位于1～7范围内,淹没率对桩前最大冲刷深度影响不大,而桩后最大冲刷深度随淹没率增大而减小,并给出了淹没因子K_s与淹没率的多项关系曲线;孤立波与单向流作用下的淹没桩周围地形变化相似,而与小周期规则波作用下的地形变化差异较大。对实测数据进行多元回归得到冲刷深度的综合计算公式,经验证该公式计算值与实测值最大误差不超过7%。     

内孤立波环境下圆柱和方柱受力特征——Ⅰ.物理实验

随着近岸海洋的开发,海洋石油钻井平台底部的柱状支撑以及海洋中石油管线等水下结构物的安全问题受到的关注日益增多。而内孤立波对水下结构物的安全有着不可忽视的影响,这就决定了内孤立波对柱体受力的研究在工程实践中具有重要意义。国内外就内孤立波对柱体作用力的物理试验研究较少,而在分层流环境下圆柱和方柱受力规律的对比研究更鲜有报道。在大型重力式分层流试验水槽中,借助一套新型且专用于分层流环境下的内孤立波造波及水动力测力系统,进行了内孤立波环境下柱体受力规律的试验研究。对比分析了不同内孤立波波幅对圆柱和方柱受力的作用规律。研究表明,在分层流环境下,随着内孤立波波幅的增大,圆柱和方柱所受的水平作用力均增大;相同波幅情况下,方柱相较于圆柱会受到更大的水平力。研究成果可为分层流环境中柱体设计及安全评价提供科学依据。     

Numerical modeling on the interaction of internal solitary wave with slope-shelf and modal analysis

On the basis of a nonhydrostatic numerical model,the interaction of internal solitary wave with slope-shelf was studied.The breaking and polarity transformation were analyzed.A "kink" structure,due to shoaling topography and higher nonlinear effect,was found to be generated by the leading wave before breaking.Coherent vortex shedding behind the leading wave was presented.The evolution characteristics of the modal structure were analyzed based on the empirical orthogonal function method.The modal structure was complicated due to the effect of the variable topography,especially when breaking occurred.In the performed experiments,the contributions to the total variance from higher mode jumped from no more than 20% to over 40%.     

基于MPS无网格方法的孤立波传播的数值模拟

在MPS无网格方法中,引进预定候选粒子集概念用以生成邻接粒子集矩阵,使该部分的机时耗费缩短为引进前的1/11;采用Bi-CGSTAB方法求解压力泊松方程,显著地提高了求解速度.模拟了孤立波在数值波浪水槽中的传播及其与直墙作用时的爬升、回落过程,结果表明模拟波面结果与解析值及实测结果基本相符,针对不同波高的孤立波计算得到的墙前最大爬升值与实测结果也是一致的.     

Oceanic pycnocline depth retrieval from SAR imagery in the existence of solitary internal waves

Oceanic pycnocline depth is usually inferred from in situ measurements. It is attempted to estimate the depth remotely. As solitary internal waves occur on oceanic pycnocline and propagate along it, it is possible to retrieve the depth indirectly in virtue of the solitary internal waves. A numerical model is presented for retrieving the pycnocline depth from synthetic aperture radar （SAR） images where the solitary internal waves are visible and when ocean waters are fully stratified. This numerical model is constructed by combining the solitary internal wave model and a two-layer ocean model. It is also assumed that the observed groups of solitary internal wave packets on the SAR imagery are generated by local semidiurnal tides. A case study in the East China Sea shows a good agreement with in situ CTD （conductivity-temperature-depth） data.