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二维情况下波浪对潮流场作用的数值分析   总被引:1,自引:1,他引:1       下载免费PDF全文
波浪和潮流是近岸地区主要的动力因素,两者之间存在着复杂的相互作用.波浪与潮流在时间尺度、空间尺度上都有很大的差别,因此现阶段对于波流相互作用的研究主要采用两种不同的概化方法.第一种方法是把周期变化的潮流概化成具有某一特征的海流叠加到波浪运动方程中去,用来模拟波流运动结构在短时间内所发生的变化.对于波浪来说,海流的作用既有动力学影响又有运动学的影响,在运动学方面,包括水深和海流对波浪频散关系的影响,另外还有由于顺流或逆流引起的波长的变化;在动力学方面,海流会引起波浪波高的变化;另一种方法是把波浪过程概化为在潮周期中具有平均意义的波浪要素叠加到潮流运动方程中,用来计算波浪对流的运动状态的影响,主要着眼于波浪和潮流对于泥沙的输运研究.  相似文献   
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本文在未将Stokes波的势函数参数β的前提下使用近似解迭代方法重新推导了Stokes波的水质点的轨迹方程。在具体推导中发现水平位移与垂向位移在作近似解迭代时,收敛于精确解的速度是不相同的,垂向位移在一次迭代后即与精确解非常近似,而对于水平位移必须做二次迭代才能达到较好的精度。由二次迭代的水平位移方程即可获得Stokes漂流公式的一种新式,该形式表明,在三阶精度下Stokes漂流与所在深度的水质点的振幅A的平方成正比。运用由垂向位移方程解得的振幅与参数β的关系式可证明经典Stokes漂流公式可以看作是新漂流公式在特定坐标系下的特定垂直断面处的结果。  相似文献   
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The development of effective iterative methods capable of accurately solving NLTE Stokes transfer problems is of considerable importance for the investigation of solar and stellar magnetic fields. After briefly indicating the iterative approach which is being presently pursued for the exact solution of such problems, the particular regime where polarization signals can only be due to the Zeeman effect is considered in some detail. By means of NLTE Stokes transfer calculations for a two-level atomic model it is first shown that the currently-used field-free approximation (Rees, 1969) cannot be safely applied in the presence of magnetic field gradients. Such gradients lead to changes in the shape and width of the line profiles and they can produce non-negligible effects on the atomic level populations and line source functions. A new approximate method is then proposed, which does not require the actual solution of the Stokes vector transfer equation and is practically as fast as the field-free one. This polarization-free approximation provides a fairly good account of the effects of homogeneous and inhomogeneous magnetic fields on the statistical equilibrium and is very easy to implement in any existing non-magnetic, multi-level transfer code.On leave from the Dipartimento di Astronomia e Scienza dello Spazio, Università di Firenze, Largo E. Fermi 5, I-50125 Firenze, Italia  相似文献   
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A coupled continuum-discrete hydromechanical model was utilized to analyze the meso-scale pore fluid flow and micro-scale solid phase deformation of saturated granular soils. The fluid motion was idealized using averaged Navier–Stokes equations and the discrete element method was employed to model the solid particles. Well established semi-empirical relationships were used to quantify the fluid–particle interactions. Numerical simulations were conducted to investigate the mechanisms of granular deposit liquefaction in the presence of a critical upward pore fluid flow as well as when subjected to a dynamic base excitation. The outcome of these simulations was consistent with experimental observations and revealed valuable information on the micro-mechanical characteristics of soil liquefaction and associated loss of stiffness and strength.  相似文献   
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Solving the geodetic boundary-value problem (GBVP) for the precise determination of the geoid requires proper use of the fundamental equation of physical geodesy as the boundary condition given on the geoid. The Stokes formula and kernel are the result of spherical approximation of this fundamental equation, which is a violation of the proper relation between the observed quantity (gravity anomaly) and the sought function (geoid). The violation is interpreted here as the improper formulation of the boundary condition, which implies the spherical Stokes kernel to be in error compared with the proper kernel of integral transformation. To remedy this error, two correction kernels to the Stokes kernel were derived: the first in both closed and spectral forms and the second only in spectral form. Contributions from the first correction kernel to the geoid across the globe were [−0.867 m, +1.002 m] in the low-frequency domain implied by the GRIM4-S4 purely satellite-derived geopotential model. It is a few centimeters, on average, in the high-frequency domain with some exceptions of a few meters in places of high topographical relief and sizable geological features in accordance with the EGM96 combined geopotential model. The contributions from the second correction kernel to the geoid are [−0.259 m, +0.217 m] and [−0.024 m, +0.023 m] in the low- and high-frequency domains, respectively.  相似文献   
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关于Stokes公式的球面卷积和平面卷积的注记   总被引:2,自引:0,他引:2  
讨论了Stokes公式球面卷积和平面卷积形式的近似性和严密性问题,分析了Stokes函数球面卷积形式和平面卷积形式的关系,推导了其间的差值表达式,估算了最大差值及其对计算大地水准面差距的误差影响。同时指出,将顾及Stokes函数全项的平面卷积公式称为严密公式的提法,仅仅是相对仅顾及Stokes函数首项的简单平面卷积公式而言,认为更合理的提法应该是“高精度Stokes平面近似卷积公式”。理论分析表明,球面卷积不可能严格转化为等效的平面卷积。  相似文献   
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