共查询到20条相似文献，搜索用时 625 毫秒
1.
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
2.
近岸带三组成波耦合作用的观测与分析 总被引：2，自引：0，他引：2
利用近岸带两个测点的波浪同步观测资料，通过二阶谱分析了三组成波的非线性相互作用。对波谱峰频自相互作用的二阶相干系数b^2(fp，fp）及对应的二阶位相值β(fp，fp)、最大二阶谱幅值B最大(f1，f2)和最大二阶相干系数b^2最大(f1，f2)的组成波频率分析结果表明：(1)弱频散作用的过渡水深区存在着明显的非共振三组成波耦合作用；(2)包括谱峰频在内的自相互作用是近岸区波耦合作用的重要形式；(3)随着水深减小，趋近碎波带，非线性耦合作用进一步增强，谱能量以向低频转移为主变为向高、低频两侧转移，波形趋于前倾。 相似文献
3.
非线性随机波的数值模拟 总被引：1，自引：1，他引：1
本文根据作者提出的非线性不规则波四阶近似理论解,首先导出二阶非线性谱和线性谱的关系式,并应用非线性有约束最优化方法建立了从靶谱分解线性谱和二阶非线性谱的数学模式,进而建立非线性随机波数值模拟的数学模型及其快速傅里叶交换算式,从而大大地缩短计算机时。由于采用从靶谱分解出的线性谱,模拟的非线性随机波现实谱和靶谱符合一致。最后通过算例,对模拟的非线性及线性随机波的谱估计及波面统计特性进行初步分析,本方法为浅水不规则波与水流及建筑物相互作用的研究提供随机模拟基础。 相似文献
4.
基于MCC理论的内孤立波数值模拟 总被引：3，自引：0，他引：3
基于MCC(Miyata-Choi-Camassa)理论,将内孤立波诱导上下层深度平均水平速度为入口条件,结合理想流体完全非线性欧拉方程,建立了两层流体中内孤立波生成与传播的CFD(Computational Fluid Dynamics)数值水槽方法。在系列数值模拟基础上,获得了内孤立波设计振幅与数值模拟振幅之间的相关关系,实现了在振幅可控条件下的内孤立波数值模拟。结果表明,在极限振幅范围内,数值模拟所得内孤立波波形均与MCC理论解吻合良好,而KdV(Korteweg-de Vries)和mKdV(modi-fied KdV)理论解只适用于小振幅的情况。同时,利用CFD数值模拟结果,对内孤立波诱导流速场特性进行了分析,结果表明内孤立波诱导水平速度在上层及波面下方流体层中垂向衰减很小,但在内界面与波面之间流体层中垂向衰减明显。 相似文献
5.
基于FLUENT的海洋内孤立波数值水槽模拟 总被引：3，自引：0，他引：3
基于FLUENT商业软件及其二次开发功能,在标准κ-ε湍流模型下,采用VOF方法追踪两层流体内界面,通过给定入口速度和水位的设置造波边界法,建立了可有效模拟弱非线性内孤立渡的分层流数值水槽,并与仿物理的双板造波方法进行了比较.采用设置边界法所造的波形与理论值符合较好,这为数值分析内孤立渡与海洋结构物相互作用问题提供了一条更加有效的途径. 相似文献
6.
基于二阶斯托克斯波理论推导了辐射应力的垂向分布表达式,通过算例讨论了辐射应力在深水和有限水深条件下的垂向分布规律,并与基于微幅波理论的辐射应力进行了比较.结果表明,在波浪非线性不强时,基于二阶斯托克斯波理论的辐射应力与基于微幅波理论的辐射应力表达式计算结果接近;而当水深较浅波浪非线性较强时,基于二阶斯托克斯波理论的辐射应力在近表面处明显大于基于微幅波理论的辐射应力.采用二阶斯托克斯波理论推导的波浪辐射应力更为合理地反映了波浪非线性效应. 相似文献
7.
完全非线性孤立波的直墙反射 总被引：2，自引：2，他引：0
报道了应用边界积分方法模拟完全非线性孤立波的传播与直墙反射,给出了波形演变过程。结果表明,本模型对计算孤立波的传播与直墙反射是有效的。三阶Boussinesq方程的孤立波解比低阶方程的孤立波解更接近完全非线性的数值解.当来波波高增大时,孤立波直墙反射的相位滞后变小。若考虑大波高孤立波的直墙反射或波——波相互作用,一阶理论预报的相位滞后往往低估实际情况。 相似文献
8.
旋转流体中的非线性惯性波 总被引：1，自引：1，他引：1
本文从旋转流体中非线性惯性波的基本方程出发,通过微分几何理论论证了非线性惯性波在传播方向上的周期性及不存在孤波解。采用Hamilton函数及其作用──角度变量给出非线性惯性波的解析解。并以简洁形式提出了一种有限振幅的非线性惯性波和用罗斯贝数作为控制参量的非线性频散关系和波速公式。 相似文献
9.
完全非线性孤立波的稳态解 总被引：1，自引：0，他引：1
报道了应用边界积分方法模拟完全非线性孤立波的传播,给急剧记解的波形,流束和数值计算结果。结果表明,本模型对计算孤立波的传播是有铲的。当ａ／ｈ〉０．３时,自由液面上的水平流速、底部流速和垂向平均流速之间的差别是明显的。三阶Ｂｏｕｓｓｉｎｅｓｑ方程的孤立波解比低阶方程的孤立波解更接近本文完全非线性的数值解。 相似文献
10.
波浪水槽中非线性浅水波传播特性与模拟 总被引：2，自引：0，他引：2
通过建立解析解、进行数值模拟和物理实验，研究了波浪水槽中非线性浅水波浪传播特性，给出了数值模拟中对应造波板做正弦运动的二阶入射边界条件。数值模拟采用高阶Boussinesq方程。实验结果、数值结果和解析解进行对比，并讨论了解析解的适用范围、高次谐波的产生及三波相互作用问题。 相似文献
11.
Second-order random interfacial wave solutions for two-layer fluid with a free surface 总被引：3，自引：3，他引：0
1 Introduction Interfacial waves travelling along the interface between two fluids of different densities can be often observed in subsurface layers of the ocean since the upper subsurface layer is warmer over much of the o- cean (Umeyama, 2002). They are… 相似文献
12.
在流体力学中,描述流体运动有Lagrange方法和Euler方法.Euler方法是通过观测通过空间各固定位置点处流体质点的运动行为来描述流体运动规律,而Lagrange方法是跟踪各个流体质点,通过观测它们在时空运动中所走过的路径来描述流体的运动规律.在数学处理上,Euler方法较Lagrange方法简单,但Lagrange方法可以完全描述流体运动的整个流场的所有特性,而Euler方法却无法描述每个流体质点的运动轨迹.本文,我们研究具有刚性边界的三层流体系统中的界面内波,其中上层流体的密度比下层流体的密度大.通过在界面处引入朗格朗日匹配条件并使用微扰法得到了拉格朗日描述下的界面内波的一阶解、二阶解及三阶解,给出了质量输运速度、波频率、平均水平和质点运动轨迹的解.结果表明对于质量输运速度、波频率、平均水平和质点运动轨迹在界面处会有不连续性,但是我们发现在满足一定的三层流体水深比和密度比条件时这种不连续性将会消失. 相似文献
13.
This paper describes experiments on interfacial phenomena in a stratified shear flow having a sharp velocity shear at a density
interface. The interface was visualized in vertical cross-section using dye, and the flow pattern was traced using aluminum
powder. Two kinds of internal waves with different phase velocities and wave profiles were observed. They are here named p(positive)-waves
and n(negative)-waves, respectively. By means of a two-dimensional visualization technique, the following facts have been
confirmed regarding these waves. (1) The two kinds of waves propagate in the opposite direction relative to a system moving
with the mean velocity at the interface, and their dispersion relations approximately agree with the two solutions of interfacial
waves in a two-layer system of a linear basic shear flow. (2) The p-wave has sharp crests and flat troughs, and the n-wave
has the reverse of this. This difference in wave profile is due to the finite amplitude effect. (3) Phase velocity of each
wave lies within the range of the mean velocity profile, so that a critical layer exists and each wave has a “cat's eye” flow
pattern in the vicinity of the critical layer, when observed in a system moving with the phase velocity. Consequently, these
two waves are symmetrical with respect to the interface. The mechanisms of generation of these waves, and the entrainment
process are discussed. It is inferred that when the “cat's eye” flow pattern is distorted and a stagnation point approaches
the interface, entrainment in the form of a stretched wisp from the lower to the upper layer occurs for the p-wave, and from
the upper to the lower layer for the n-wave. 相似文献
14.
可渗透结构具有使波浪作用减弱的效应,而海水的层化及水波的非线性使结构的波绕射产生多层复杂机制。将可渗透结构应用于复杂海况条件中,海水的层化性、波浪的非线性及结构的透空性构成了波绕射的一个十分复杂的数学问题。该问题存在理论研究的必要性,而文章则着重探讨其数学分析的可能性。通过引入二层海的层化海模式及Stokes二阶波的非线性波模式,给出了二阶多色波对透空结构的波绕射的定解问题提法,提出了复合形式的二阶多色波辐射条件式及可渗透结构的二阶物面条件式,应用特征函数解法与积分法推导了多色波对结构绕射的一阶势解与二阶作用的耦合积分解式,并讨论了解式所涉及无穷积分的算法。 相似文献
15.
With growing computational power, the first-order wave-maker theory has become well established and is widely used for numerical wave flumes. However, existing numerical models based on the first-order wave-maker theory lose accuracy as nonlinear effects become prominent. Because spurious harmonic waves and primary waves have different propagation velocities, waves simulated by using the first-order wave-maker theory have an unstable wave profile. In this paper, a numerical wave flume with a piston-type wave-maker based on the second-order wave-maker theory has been established. Dynamic mesh technique was developed. The boundary treatment for irregular wave simulation was specially dealt with. Comparisons of the free-surface elevations using the first-order and second-order wave-maker theory prove that second-order wave-maker theory can generate stable wave profiles in both the spatial and time domains. Harmonic analysis and spectral analysis were used to prove the superiority of the second-order wave-maker theory from other two aspects. To simulate irregular waves, the numerical flume was improved to solve the problem of the water depth variation due to low-frequency motion of the wave board. In summary, the new numerical flume using the second-order wave-maker theory can guarantee the accuracy of waves by adding an extra motion of the wave board. The boundary treatment method can provide a reference for the improvement of nonlinear numerical flume. 相似文献
16.
The hydroelastic response of a semi-infinite thin elastic plate floating on a two-layer fluid of finite depth due to obliquely incident waves is investigated. The upper and lower fluids with different densities separated by a sharp and stable interface are assumed to be inviscid and incompressible and the motion to be irrotational. Simply time-harmonic incident waves of the surface and interfacial wave modes with a given angular frequency are considered within the framework of linear potential flow theory. With the aid of the methods of matched eigenfunction expansion and the inner product of the two-layer fluid, a closed system of simultaneous linear equations is derived for the reflection and transmission coefficients of the series solutions. Based on the dispersion relations for the gravity waves and the flexural–gravity waves in a two-layer fluid and Snell’s law for refraction, we obtain a critical angle for the incident waves of the surface wave mode and three critical angles for the incident waves of the interfacial wave mode, which are related to the existence of the propagating waves. Graphical representations of the series solutions show the interaction between the water waves and the plate. The effects of several physical parameters, including the density and depth ratios of the fluid and the thickness of the plate, on the wave scattering and the hydroelastic response of the plate are studied. It is found that the variation of the thickness of the plate may change the wave numbers and the critical angles. The density ratio is the main factor to influence the wave numbers of the interfacial wave modes. Finally, the stress state is considered. 相似文献
17.
In the first part of our studies, the unified solutions of existing waves have been obtained by using the linear wave equations without making the assumptions of irrotation and hydrostatic pressure. In this paper, the second part of our studies, we shall devote to linear long wave equations without the assumption of hydrostatic pressure. All the solutions in the case of ω=f are found. A set of solutions is also obtained, with a similarity to the unified solutions of the Sverdrup waves and the Poincare waves, but the corresponding waves represented by such a set have a different vertical structure of velocities. The set is not included in the solutions of linear long wave equations under the assumption of hydrostatic pressure and, therefore, is regarded as possible waves filtered out by the assumption of hydrostatic pressure. 相似文献
18.
The applicability of three different wave-propagation models in nonlinear dispersive wave fields has been investigated. The numerical models tested here are based on three different wave theories: a fully nonlinear potential theory, a Stokes second-order theory, and a Boussinesq-type theory with an improved dispersion relation. Physical experiments and computations were conducted for wave evolutions during passage over a submerged shelf under various wave conditions. As expected, the fully nonlinear solutions agree better with the measurements than do the other solutions. Although the second-order solution has sufficient accuracy for smaller-amplitude wave cases, the truncation after the third harmonics causes significant discrepancies in wave form for larger waves. In addition, the second-order model markedly overestimates the first- and second-harmonic amplitudes in transmitted waves. The Boussinesq model provides excellent predictions of wave profile over the shelf even in larger wave cases. However, this model also overestimates the magnitudes of several higher harmonics in transmitted waves. These facts may indicate that energy transfer from bound components into free waves in these higher harmonics cannot be accurately evaluated by the Boussinesq-type equations. 相似文献
19.
20.
Interfacial waves and wave-induced tangential stress are studied for geostrophic small amplitude waves of two-layer fluid with a top free surface and a flat bottom. The solutions were deduced from the general form of linear fluid dynamic equations of two-layer fluid under the f-plane approximation, and wave-induced tangential stress were estimated based on the solutions obtained. As expected, the solutions derived from the present work include as special cases those obtained by Sun et al. (2004. Science in China, Ser. D, 47(12):1147-1154) for geostrophic small amplitude surface wave solutions and wave-induced tangential stress if the density of the upper layer is much smaller than that of the lower layer. The results show that the interface and the surface will oscillate synchronously, and the influence of the earth''s rotation both on the surface wave solutions and the interfacial wave solutions should be considered. 相似文献