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采用变量代换的方法,处理水波的自由边界,获得了新的水波控制方程和边界条件。以摄动法解非线性偏微分方程的近似解析解,求得了与三阶斯托克斯波略有差别的非线性波面和包含振幅的非线性水波色散关系,并且得出了二阶以上的波动势函数在深水情况下不为零的结论。 相似文献
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非线性效应对浅水水波变形的影响 总被引：3，自引：0，他引：3
本文采用波数矢量无旋和波能守恒方程建立了一个考虑非线性作用的浅水水波变形数值模型,模型中采用Ｂａｔｔｊｅｓ关系与波数矢量无旋,波能守恒方程一起来求解波浪在浅水中变形的波浪要素,在波能守恒方程中考虑了底摩擦的影响。利用本文提出的数值模型对一个斜坡浅滩水域波浪折射绕射现象进行了验证,验证计算中用一个非线性经验弥散关系近似浅水水波变形的非线性效应并与用线性弥散关系的计算结果进行了比较,结果说明使用非线性 相似文献
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波群演化有非常特殊的物理现象。模拟这一过程要求模型具有较好的色散性性能同时具有良好的波幅离散性能、非线性性能。采用分层Boussinesq类方程对深水波群得到非线性演化开展数值模拟研究。利用Stansberg(1993)的物理实验验证了分层Boussinesq方程波浪模型在该研究中具有很好的适用性和较高的精度。模型较好地预报了组成波的倍频、和频及差频波浪。越接近造波板,结果吻合的越好。随着长时间的演化,主频部分的组成波的波高数值结果要大于实测结果,高频部分的组成波出现明显差异。 相似文献
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非线性波消波及波场分布研究 总被引：1，自引：1，他引：0
本文基于雷诺平均N-S方程,并结合RNG k-e方程建立了粘性数值波浪水槽,对不同波陡、不同相对水深、不同相对波高的非线性规则波的阻尼消波问题和波场分布进行研究。文中提出了两种描述消波区内部阻尼变化的阻尼函数,分别适用于小波陡情形和高波陡情形。研究结果表明,小波陡组消波区可设为一个波长,阻尼系数取10~4～10~5即可满足消波要求,计算结果与实验结果及造波理论吻合良好;高波陡组消波区可设为两个波长,阻尼系数取10~4～10~5亦可满足消波要求,计算结果与实验结果吻合良好。此外,当波陡较小时,波场内反射情况的小幅改变即可对整个波场造成影响,特别是当水深较浅时这种影响极为明显,需谨慎考虑。当波陡较大时,水波能量较高,整个波场沿水波传播方向可观测到明显的衰减现象,在具体试验中需进行考虑。 相似文献
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建立基于四阶完全非线性Boussinesq水波方程的二维波浪传播数值模型。采用Kennedy等提出的涡粘方法模拟波浪破碎。在矩形网格上对控制方程进行离散,采用高精度的数值格式对离散方程进行数值求解。对规则波在具有三维特征地形上的传播过程进行了数值模拟,通过数值模拟结果与实验结果的对比,对所建立的波浪传播模型进行了验证。同时,为了考察非线性对波浪传播的影响,给出和上述模型具有同阶色散性、变浅作用性能但仅具有二阶完全非线性特征的波浪模型的数值结果。通过对比两个模型的数值结果以及实验数据,讨论非线性在波浪传播过程中的作用。研究结果表明,所建立的Boussinesq水波方程在深水范围内不但具有较精确的色散性和变浅作用性能,而且具有四阶完全非线性特征,适合模拟波浪在近岸水域的非线性运动。 相似文献
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波浪非线性弥散关系及其应用 总被引：3，自引：0，他引：3
针对Hedges及Kirby等对Kirby和Dahymple的非线性弥散关系的修正关系,在小波陡时中等水深范围存在较大偏差的问题,给出了一个新的非线性弥散关系。比较可知,新的关系在小波陡时减小了中等水深范围内50％的误差,而在大波陡时能够保持其单调性,且形式上更为简练。将其应用于含弱非线性效应的缓坡方程进行数值验证,结果表明,采用新的非线性弥散关系得到的计算结果与实测结果更为吻合。 相似文献
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《中国海洋大学学报(自然科学版)》2017,(11)
基于三维海洋环流模式MITgcm,对非线性陡斜在南海北部内孤立波形成和传播过程中的作用进行了研究,探讨了内孤立波的三维演变过程。研究发现,吕宋海峡处正压潮流激发的斜压潮能射线在其西侧形成强斜压扰动,该扰动在西传过程中受到地形浅化的影响,发生非线性陡斜,波长变小,波形变陡,最终在南海北部陆架坡折处形成大振幅内孤立波,即南海北部的大振幅内孤立波主要是由吕宋海峡西侧的强斜压扰动发展而来,而非来自吕宋海峡巴坦岛附近经潮地相互作用所形成的强波动信号。同时,模式也揭示了a、b波的演变过程,在吕宋海峡西侧约120°E以东的海域,没有发现a、b波,经过西传过程中的非线性陡斜作用,a、b波才演变出来,表明传播过程在a、b波的形成中具有重要意义。 相似文献
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随着我国沿海地区海洋经济的快速发展,相关海域的风浪规律的研究越来越受到人们的重视。依据Toba的风浪3/2指数律和非线性频散关系推导得到一个新的波陡波龄关系式,简化获得适用于深水情况下的波陡波龄关系式;基于考虑非线性频散效应的波龄波陡深水关系式,并结合有效波能量平衡方程,进一步推导出包含非线性频散效应的深水海域风浪公式。利用新的深水风浪公式,并结合Mitsuyasu开阔海域风区、风速经验公式,研究了江苏沿海海域的风浪规律,且与NCEP再分析风浪数据以及其他公式结果进行对比分析。分析结果表明所获得的新深水风浪公式适用范围更广,且在只考虑风速这个单一参数条件下计算得到的江苏外海波浪要素与NCEP再分析风浪数据吻合程度最好,且更接近其他学者的研究成果。计算过程可避免开阔海域风区长度推算的不确定性和人为因素所产生的误差,可为我国风浪成长规律的理论研究和海洋工程深海风浪要素推算提供参考。 相似文献
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港口内靠码头系泊船运动的计算 总被引：11，自引：1，他引：11
本文以英国南海岸处Ｓｈｏｒｅｈａｍ港内系泊船为例，研究了港口内靠码头系泊船运动的数值计算问题。该船的实船实验和模型实验已经完成，为验证本文计算结果提供了依据。运动方程在时域内求解。在计算船体脉冲响应函数时，引入了船体阻尼系数在频率很低时的渐近表达式和一迭代算法。分析了港内共振波浪和其对船体的作用力。讨论了靠码头系泊船运动的非线性特征。计算结果与实验结果符合很好。 相似文献
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提出一种基于序贯预测误差方法（ＳＰＥ）的多层神经网络（ＭＮＮ）的学习算法。经模拟计算，它比传统的基于最陡下降方法的误差反传（ＳＤＢＥＰ）算法具有更好的收敛性能。并对这两种算法进行了模拟计算的比较． 相似文献
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An elliptic jet and a square jet flowing into a counterflow with different jet-to-current velocity ratios are investigated by using realizable k–ε model. Some computed mean velocity and scalar features agree reasonably well with experimental measurements, and more features are obtained by analyzing the computed results. After fluid issues from a nozzle, it entrains ambient fluid, and its velocity and concentration on the centerline decay with the distance downstream from the potential core (l0). The decay ratio increases with the decreasing jet-to-current velocity ratio α. For an elliptic jet, the evolution of the excess velocity half-width b and the concentration half-width bc merely remains constant near the jet exit on major-axis plane while they increase linearly on the minor-axis plane. However, the half-widths on the major-axis and minor-axis plane become proportional to the axial distance downstream after equaling each other. For a square jet, b and bc increase linearly with the distance downstream from the jet exit, but the spread ratio is larger on the middle plane than that on the diagonal plane before they equal each other. The radial extent of the dividing streamline rs or the mixing boundary rsc increases linearly downstream, and decreases exponentially after reaching a peak at xb. The ratio on the minor-axis plane is larger than that on the major-axis plane for an elliptic jet. The characteristics are the same for the square jet. b, bc, rs, and rsc on two corresponding planes become equal to each other more rapidly for the square jet than for the elliptic jet, because the sharp corner of the square nozzle induces secondary structures that are more intense. The distributions of the excess axial velocity and scalar concentration exhibit self-similarity for either the elliptic jet or square jet in the region of l0 < x < xb. On the cross section, four counter-rotating pairs of vortices, which enhance the entrainment between the jet and counterflow, form at the four corners of the square jet or at the two ends of the major-axis plane of the elliptic jet. The recirculation pattern formed by these axial vortices is more complex for the square jet than that for the elliptic jet. The turbulent kinetic energy k have large value in the region near the jet exit and stagnation point. The maximum value of k for the square jet is larger than that of the elliptic jet near the jet exit. This results in the square jet mixing more strongly than the elliptic jet. 相似文献
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This paper deals with the study of moisture budget of the typhoon No. 7507. The results show that the mass convergence produced by divergent wind has made the maximum contribution to precipitation, especially at the lower level, accounting for about 70% of the total precipitation, and that the advection term of water vapor is very small. The vertical flux term is to transport water vapor from the lower level to the middle and upper levels, resulting in the increase of water vapor accumulation at these levels. Evaporation term also plays an important role in precipitation, accounting for about 13% of the total precipitation and 23% of the horizontal moisture convergence. The moisture of the typhoon comes mainly from its southern boundary and the secondary inflow of moisture is from its western or eastern boundary. All the inflow layers of these three boundaries are very deep, reaching up to 300 hPa, while the strongest inflow occurs below 700 hPa. In the northern boundary of the typhoon, we obtained that 相似文献
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中国隆头鱼之一新属新种——尖尾新丝隆头鱼 总被引：1，自引：0，他引：1
在过去几年的西沙群岛鱼类区系调查中,我们曾在西沙群岛的东岛和永兴岛附近水域,先后三次采到5尾前所未曾见过的隆头鱼类标本,经过比较研究后,认为是一新属、新种,定名为“尖尾新丝隆头鱼”,(Neocirrhilabrus oxyurus gen. et sp. nov.)现描述如下: 相似文献
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A Time-Domain Coupled Model for Nonlinear Wave Forces on A Fixed Box-Shaped Ship in A Harbor 总被引：2，自引：1，他引：1
A 2-D time-domain numerical coupled model is developed to obtain an efficient method for nonlinear wave forces on a fixed box-shaped ship in a harbor.The domain is divided into an inner domain and an outer domain.The inner domain is the area beneath the ship and the flow is described by the simplified Euler equations.The other area is the outer domain and the flow is defined by the higher-order Boussinesq equations in order to consider the nonlinearity of the wave motions.Along the interface boundaries between the inner domain and the outer domain,the volume flux is assumed to be continuous and the wave pressures are equal.Relevant physical experiment is conducted to validate the present model.It is shown that the numerical results agree with the experimental data.Compared with the coupled model with the flow in the inner domain governed by the Laplace equation,the present coupled model is more efficient and its solution procedure is more simple,which is particularly useful for the study on the effect of the nonlinear wave forces on a fixed box-shaped ship in a large harbor. 相似文献
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王荣良 《中国海洋大学学报(自然科学版)》1988,(1)
本文对J.Maynard Smith提出的物种竞争模式: x=x(a-bx-cy-kxy) y=y(e-fx-gy-lxy)作了定性分析,并给出两物种共存或其中任一物种死亡,而另一物种趋于确定值的条件。 相似文献
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Field measurement of waves and wave pressure in a given harbour were carried out in the years 1973 and 1977 and then the statistical analysis was made. Based on this analysis and the linear wave theory some problems concerning the total pressure spectrum and the total pressure crest value and trough value are discussed, and the method of calculating these quantities is given. 相似文献
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An edge wave is a kind of surface gravity wave basically travelling along a shoaling beach. Based on the periodic assumption in the longshore direction, a second order ordinary differential equation is obtained for numerical simulation of the cross-shore surface elevation. Given parameters at the shoreline, a cross-shore elevation profile is obtained through integration with fourth-order Runge-Kutta technique. For a compound slope, a longshore wavenumber is obtained by following a geometrical approach and solving a transcendental equation with an asymptotic method. Numerical results on uniform and compound sloping beaches with different wave periods, slope angles, modes and turning point positions are presented. Some special scenarios, which cannot be predicted by analytical models are also discussed. 相似文献