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1.
Green functions with pulsating sources in a two-layer fluid of finite depth   总被引:1,自引:0,他引:1  
The derivation of Green function in a two-layer fluid model has been treated in different ways.In a two-layer fluid with the upper layer having a free surface,there exist two modes of waves propagating due to the free surface and the interface.This paper is concerned with the derivation of Green functions in the three dimensional case of a stationary source oscillating.The source point is located either in the upper or lower part of a two-layer fluid of finite depth.The derivation is carried out by the method of singularities.This method has an advantage in that it involves representing the potential as a sum of singularities or multipoles placed within any structures being present.Furthermore,experience shows that the systems of equations resulted from using a singularity method possess excellent convergence characteristics and only a few equations are needed to obtain accurate numerical results.Validation is done by showing that the derived two-layer Green function can be reduced to that of a single layer of finite depth or that the upper Green function coincides with that of the lower,for each case.The effect of the density on the internal waves is demonstrated.Also,it is shown how the surface and internal wave amplitudes are compared for both the wave modes.The fluid in this case is considered to be inviscid and incompressible and the flow is irrotational.  相似文献   

2.
A position and attitude tracking control law for autonomous underwater vehicles (AUV's) in 6 degrees of freedom (DOF) is derived. The 4-parameter unit quaternion (Euler parameters) is used in a singularity-free representation of attitude. Global convergence of the closed-loop system is proven. In addition, several 3-parameter representations in terms of the Euler parameters are discussed with application to the same control law. These schemes contain singularities, and only local convergence can therefore be proven. The proposed control scheme is simulated with Euler parameters and Euler angles  相似文献   

3.
对冲绳海槽1984-1990年的实测热流值,利用数字滤波方法计算,得到反映该区深部地壳热状态的区域热流值为80-160mW/m^2,用B样条函数法对其作数值模拟,计算出海槽地温场模式,并以此研究冲绳海槽海底高热流的形成机制,得出冲绳海槽热流值的区域性变化与綦中地质构造格局呈正相关,高热流是该区现代构造活动所致,其明显特征是地壳减薄,地幔上拱等结论。  相似文献   

4.
Properties of surface singularities and the form of wave crests of limiting gravity waves in steady-state flows of an ideal liquid are considered by analyzing the kinematic boundary condition. It is shown that, for rotational waves, the angle at the crest can have any value from 0° to 180°, while it has the only value 90° in the case of irrotational waves. Two inferences are made from Bernoulli’s integral and the properties of singularities: (i) the Stokes wave is a rotational wave and (ii) no angular points can appear on the profiles of capillary-gravity and capillary waves.  相似文献   

5.
The flow field and the bottom pressure signatures due to an air cushion vehicle are calculated by analytical and computational means. The singularities in the integrals from the theoretical analyses are removed by using the Cauchy's residue theorem and the resulting integrals are numerically evaluated by the adaptive quadrature routines of QUADPACK.  相似文献   

6.
A fast time-domain method is developed in this paper for the real-time prediction of the six degree of freedom motions of a vessel traveling in an irregular seaway in infinitely deep water. The fully coupled unsteady ship motion problem is solved by time-stepping the linearized boundary conditions on both the free surface and body surface. A velocity-based boundary integral method is then used to solve the Laplace equation at every time step for the fluid kinematics, while a scalar integral equation is solved for the total fluid pressure. The boundary integral equations are applied to both the physical fluid domain outside the body and a fictitious fluid region inside the body, enabling use of the fast Fourier transform method to evaluate the free surface integrals. The computational efficiency of the scheme is further improved through use of the method of images to eliminate source singularities on the free surface while retaining vortex/dipole singularities that decay more rapidly in space. The resulting numerical algorithm runs 2–3 times faster than real time on a standard desktop computer. Numerical predictions are compared to prior published results for the transient motions of a hemisphere and laboratory measurements of the motions of a free running vessel in oblique waves with good agreement.  相似文献   

7.
Numerical solutions for the hydroelastic problems of bodies are studied directly in the time domain using Neumann–Kelvin formulation. In the hydrodynamic part of problem, the exact initial boundary value problem is linearized using the free stream as a basis flow, replaced by the boundary integral equation applying Green theorem over the transient free surface Green function. The resultant boundary integral equation is discretized using quadrilateral elements over which the value of the potential is assumed to be constant and solved using the trapezoidal rule to integrate the memory or convolution part in time. In the structure part of the problem, the finite element method is used to solve the hydroelastic problem. The Mindlin plate as a bending element, which includes transverse shear effect and rotary inertia effect are used. The present numerical results show acceptable agreement with experimental, analytical, and other published numerical results.  相似文献   

8.
Integrated Coastal Zone Management (ICZM) forms a generally accepted concept to ensure sustainable development in the coastal zone. The implementation of the ICZM framework as formulated, e.g. by the World Coast Conference, is often constrained by the political system within which it should be applied. This is the case in the People's Republic of China. This study takes a political science perspective based on approaches inherent in neo-institutional and administrative theories. This way the relevant political structures are explained and the impacts that the transformation of the socio-economic system had on institutions are located. This is extended by the reflection of related political power distribution. This part of the analysis mainly contains existing knowledge on (integrated) CZM in China but evaluates it from a so far neglected point of view. The second part of the paper is taking the successful local ICZM approach of Xiamen and a proposed approach for Shanghai as an example to show that the adaptation of a working approach to other parts of the country is impossible without modifications to the organizational structures of decision-making and implementation. So far the literature emphasizes mostly modifications in content. An important reason for structural elements being comparably important is the choice of ICZM issues and the local power distribution. It furthermore shows that these are also the determining factors obstructing the upscaling of a local approach to the national level, a fact, which constrains the formulation of national guidelines in China and leaves only the bottom-up alternative of introducing ICZM to China—a hard task that leaves a disproportional responsibility to the local governmental level.  相似文献   

9.
北部湾广西沿岸全新世海侵过程的区域差异   总被引:2,自引:0,他引:2  
刘涛  黎广钊 《海洋学报》2015,37(3):70-76
通过分析北部湾广西沿岸3个地质钻孔的岩性、地球化学和有孔虫含量特征,确定了其沉积相序,在统一的高程坐标内,对各钻地层中沉积相的高程和年代进行了对比,分析了该区全新世以来海侵过程的区域差异;并以东亚全新世海平面波动曲线作为参照,估算了广西沿岸各主要海湾的构造沉降速度。研究表明:全新世以来,广西沿岸的海侵开始时间并不一致,这是由于各海湾构造沉降运动的区域差异造成的,东部的廉州湾构造基本稳定,而廉州湾以西则经历了较大幅度的构造沉降。构造沉降又导致了海平面波动过程的区域差异,进而影响到了地层形成,如海陆过度相沉积只发育于廉州湾以西遭受海侵时间较晚、相对海平面上升速度较低的区域。  相似文献   

10.
钢沉井下沉过程中局部冲刷的研究是同类桥墩设计和施工十分关心的重要课题,它对保证钢沉井安全有效施工、桥梁设计中施工期桥墩最大冲深、失稳和安全计算有重要参考价值。通过室内试验研究了钢沉井下沉过程中的局部冲刷机理和冲刷形态,探讨了桥墩下部钢沉井基础施工的相对高程对局部冲刷的变化规律,并将试验研究所获得的局部冲刷规律和影响因素,采用墩型系数方法引入局部冲刷计算中,给出了计算公式。研究成果补充了国家行业规范内容,对同类工程的设计、施工具有借鉴和指导意义。  相似文献   

11.
基于多面函数的局域地磁场建模方法研究   总被引:1,自引:0,他引:1  
基于多面函数,研究了局域海洋地磁场建模的理论和方法,并对建模中数据质量的控制问题、适用于地磁场建模的核函数的选择问题、平滑因子的选择以及建模数据的选择等关键问题进行了研究,并根据地磁数据变化剧烈的特点和多面函数的特性,提出了分区建模的设想.将该方法与传统的 Taylor 多项式、Legendre 多项式和曲面函数建模方法进行了比较,表明该方法具有较高的精度和可靠性.  相似文献   

12.
用曲面插值方法建立海洋局部地磁场模型   总被引:2,自引:0,他引:2  
刘辉  赵建虎  李娟 《海洋测绘》2009,29(3):28-30
地磁场模型是地磁场的数学表达式,国内外已有多种建立地磁场模型的方法,对于局部地磁场模型来说,应用比较多的是多项式方法和曲面样条函数方法。讨论了基于曲面样条函数建立局部地磁场模型的原理和方法,并在实测数据基础上对模型的精度进行了验证。  相似文献   

13.
The paper describes a lidar and presents the results of lidar sensing of the vertical ozone distribution (VOD); the lidar measurements are analyzed together with data from a network of meteorological stations situated along the 132° E meridian. VODs over Primorye and Japan in the winter period are compared. An analysis showed that an interrelation exists between the subtropical jet stream and the structures of VOD and tropopause inversion layer. Specifically, the region of the VOD local maximum above the tropopause is in the upper part of the tropopause inversion layer and the width of the maximum depends on the distance from the core of the subtropical jet stream. It is found that the local ozone minimum in the lower stratosphere corresponds to the local minimum of the squared Brunt-Vaisala frequency within this same altitude range in the winter season, when two tropopauses frequently overlap. It is conjectured that the local ozone maximum and tropopause inversion layer may be associated with mixing processes in the layer where stratospheric and tropospheric circulation cells come into contact near the core of the subtropical jet stream.  相似文献   

14.
为有效解决Stokes积分奇异性问题,以扰动重力梯度张量的计算为例,采用双二次多项式插值和非奇异变换推导了解决计算点和临近格网点积分奇异的统一公式,分析了数据分辨率对中央区选取范围及积分奇异性的影响。选取某海域8°×8°范围的重力异常数据进行数值实验,结果表明,该方法与传统去奇异方法在一些分量的差异可达数E,使用该方法更有助于提高计算精度。此外,针对不同分辨率的数据,合理选取中央区范围可有效避免计算结果产生舍入误差或奇异。  相似文献   

15.
Observations made during 50 days at nine buoy moorings in the equatorial Atlantic have been used to determine the fractal and scaling characteristics of the Eulerian trajectories of currents. Within the temporal (1–10 days) and spatial range (10–100 km), the trajectories are shown to be isotropic and to have a scaling and fractal dimension that equals 1.2. The data are interpreted in the context of two-dimensional turbulence. The paper examines the multifractal structure of the density of kinetic energy dissipation, which is intermittent within the range from 4 to 100 km. The spectrum of singularities is determined using the method of Legendre transformation of generalized Renyi dimensions, and spectrum parameterization is accomplished using the universal family of Levy's random multifractal measures. Translated by Vladimir A. Puchkin.  相似文献   

16.
《Marine Models》2002,2(1-4):19-34
Accurate density calculation that includes pressure effects is achieved with negligible computational cost in the context of three-dimensional ocean modelling. Local linear (or quadratic) fits to the full UNESCO (Anon, 1981) equation of state can be used in many model applications where the potential temperature and salinity at a model grid point vary slightly in each model time step. The local polynomial fit is achieved by computing a Taylor series expansion about a local reference state. The terms in the Taylor series are calculated analytically for optimal accuracy and minimal computational cost. All calculations can be done with single precision arithmetic, without compromising accuracy. In a three-dimensional nonhydrostatic ocean model applied to a deep convection problem, the local density calculation reduced the total computational cost of the model by 7% relative to that when the full UNESCO density calculation was used. The computational advantage is 15% for an application in which the nonhydrostatic part of the calculation is turned off. The computational advantage is, however, a function of the nature of both the model being used and the problem being solved.The principal algorithms are coded in Fortran 90, fortran 77, and as Matlab functions. The complete set of routines and test programs is coded in Fortran 90.  相似文献   

17.
茅志昌  郭建强 《海洋工程》2015,33(3):107-112
利用1986~2013年的长江口海图以及2013年九段沙上沙南沿的冲淤观测数据,分析了外沙内泓地形形成机理以及凸显的效应。长江口深水航道治理工程改变了九段沙湿地局部边界条件,导致江亚南沙沙尾下延,深泓线北移,上沙南沿坍塌后退。建议采取护滩工程措施,保护上沙湿地资源。  相似文献   

18.
In the present work, a coupled-mode technique is applied to the transformation of ship's waves over variable bathymetry regions, characterised by parallel depth-contours, without any mild-slope assumption. This method can be used, in conjunction with ship's near-field wave data in deep water or in constant-depth, as obtained by the application of modern (linearised or non-linear) ship computational fluid dynamic (CFD) codes, or experimental measurements, to support the study of wave wash generated by fast ships and its effects on the nearshore/coastal environment.

Under the assumption that the ship's track is straight and parallel to the depth-contours, and relatively far from the bottom irregularity, the problem of propagation–refraction–diffraction of ship-generated waves in a coastal environment is efficiently treated in the frequency domain, by applying the consistent coupled-mode model developed by Athanassoulis and Belibassakis [J. Fluid Mech. 1999;389] to the calculation of the transfer function enabling the pointwise transformation of ship-wave spectra over the variable bathymetry region.

Numerical results are presented for simplified ship-wave systems, obtained by the superposition of source–sink Havelock singularities simulating the basic features of the ship's wave pattern. The spatial evolution of the ship-wave system is examined over a smooth but steep shoal, resembling coastal environments, both in the subcritical and in the supercritical case. Since any ship free-wave system, either in deep water or in finite depth, can be adequately modelled by wavecut analysis and suitable distribution of Havelock singularities e.g. as presented by Scrags [21st Int. Conf. Offshore Mech. Arctic Eng., OMAE2002, Oslo, Norway, June 2002], the present method, in conjunction with ship CFD codes, supports the prediction of ship wash and its impact on coastal areas, including the effects of steep sloping-bed parts.  相似文献   


19.
On wave-free floating-body forms in heaving oscillation   总被引:1,自引:0,他引:1  
Some wave-free heaving forms are obtained in a manner similar to Bessho's earlier work by using a source and vertical dipole combination to generate bulbous-shaped two and three-dimensional bodies which have zero radiation damping. Then the combinations of higher singularities, such as triple-pole and quadra-pole, are considered. Using the thin-ship approximation, where the boundary condition is satisfied on the centreline, a simple procedure for generating any arbitrary shape that has the same property is established. The existence of wave-free frequencies of such bodies are verified numerically, in two dimensions by a standard singularity-distribution method based on the actual body-contour and in three-dimensions by using vortex-ring distribution for an axisymmetric body. Experiments are carried out for the models obtained theoretically and the results support the theoretical predictions fairly well. Finally, some suggestions are made to apply such a wave-free body to a moored buoy to suppress its heaving oscillation.  相似文献   

20.
在集合数据同化中,协方差局地化(covariance localization,CL)方法的使用存在限制。集合转换卡尔曼滤波(ensemble transform Kalman filter,ETKF)作为集合平方根滤波的变种方法,是一种应用较广、计算高效的数据同化方法。本文分析了CL方法应用于ETKF方法的困难,从而改进CL方法使其可以适用于ETKF方法。另外,结合浅水方程,利用Askey函数作为多元局地化函数,提出了一种适用于多元数值模型的CL方法。通过具体实验验证,得到了较好的分析结果。  相似文献   

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