矢量场

After getting these four line-of-sight vectors, we inverse these data in special observation coordinate based on space analytical geometry, then we can get the vector that has three components on every coordinate, this vector will be treated as the total wind profile in the three-dimensional observation field, the result of this four-point method can basically reflect all the spatial and temporal variation of the atmospheric wind.

在得到视线方向风速矢量后，从选定的三维观测坐标系对这四个矢量进行空间解析几何的运算，可得到观测坐标系的各坐标轴上四个测量矢量的各坐标分量的标量和。从而以这个在三个坐标轴上都有分量的矢量作为在观测视场内的总的风场的风速矢量。

By using the CFD software FLUENT, the inner-flow field of centrifugal fans with ruled-surface impeller versus with enveloping surface impeller has been simulated. The static pressure distribution, the dynamic pressure distribution, the total pressure distribution, the turbulent intensity and the speed vector of the two kinds of centrifugal fans are then analyzed and compared. From the calculating results, we found that the pressure distribution, the speed vector and other parameters of the two kinds of centrifugal fans are basically same. This implies that the tool-path generating arithmetic for the machining of the impeller can meet the aerodynamic requirements of the centrifugal fan. Furthermore the method can provide proof for designing department to establish sound manufacturing tolerance for impeller.

最后采用CFD软件FLUENT，利用标准k-ε湍流模型，采用分离隐式求解器，分别对直纹面叶轮离心通风机和包络面叶轮离心通风机整体风机内部三维流场和单个通道流场进行了数值模拟计算，在计算结果的后处理中，对相同坐标值处的静压力、动压力、湍流强度和速度矢量等参数进行了分析与比较，结果表明：在相同的计算参数条件下所得到直纹面叶轮离心通风机和包络面叶轮离心通风机内部流场差别不大，从而揭示所采用的叶轮数控加工的刀位规划方法的规划误差对流体机械动力性能的影响不大，这也为设计部门制定合理的叶轮加工公差提供了依据。

The results are displayed vividly in virtual scene which is established with program language of Visual C++ and OpenGL. At present flow field simulation manner mostly has time delay, deficient controllability, so this paper brings forward the methods of drawing flow velocity vector graphics with OpenGL in the 3D virtual scene to simulate and analyze flow field. At the same time cross section and flood analysis are completed. Accordingly, it assists flood flow field visualization and provides the more effective analysis method for the flood mathematics model research and application.

针对目前流场模拟方式大多存在模拟时间滞后、缺乏可控性等问题，本文提出基于水力学模型计算得到的流速数据，在三维虚拟场景中利用OpenGL绘制洪水流速矢量图的方法进行流场动态模拟分析，在流速变化较大区域和需要重点观测区域，提取断面，分析断面和洪水淹没情况，从而解决洪水流场数值可视化的问题，为洪水数学模型的研究与应用提供更加直观有效的分析手段。

The horizontal and vertical wind sections of the observed field can be obtained by spatial analytic geometry operation and analysis based on the four orthogonal points vector which located on the scanning cone′s vertical section.

通过这四个矢量，利用空间解析几何的知识，最终推导出观测视场上风场的水平和垂直方向的矢量分量。

Maxwell's equations group in fact was already found in the basic experimental laws of electromagnetic phenomena, as well as a single magnetic pole does not exist on the facts and the integrated displacement current assumptions, using an international system of units, these equations can be written as: DivDW =ρ or DW =ρ(1) kiDivBq = 0 or Bq = 0 (2) kiCurlEBq =- Zt or × EqkZ =- BqZt (3) ZCurlHDWDW = jE Zt, or × HW = jE Zkt (4) Z-type in the Curl, and Div were vector operator curl and divergence, Micro-k points for the Hamiltonian operator, in the rectangular coordinate system,= iZZEkx jEy kqz, iE, jE, kq along Zx, y, z-axis unit vector, a vector for any AW are × AW = CurlAW, kAW = DivAW; DW for the electric displacement, Bq for the magnetic induction intensity, Eq, and HW, respectively i field and electric field strength, jY for the conduction current density,ρ the charge density for free.

麦克斯韦方程组实际上是当时已发现的电磁现象的基本实验定律以及单个磁极不存在的事实和位移电流假设的综合，采用国际单位制，这些方程式可写成：DivDW＝ρ或DW＝ρ（1）kiDivBq＝0或Bq＝0（2）kiCurlEBq＝－Zt或×EqkZ＝－BqZt（3）ZCurlHDWDW＝jE＋Zt或×HW＝jE＋Zkt（4）Z式中Curl和Div分别为矢量算符旋度和散度，为哈密顿微k分算符，在直角坐标系中，＝iZZEkx＋jEy＋kqz，iE，jE，kq是沿Zx、y、z轴的单位矢量，对任一矢量AW有×AW＝CurlAW，kAW＝DivAW；DW为电位移，Bq为磁感应强度，Eq和HW分别为电i场和磁场强度，jY为传导电流密度，ρ为自由电荷密度。

During the T-matrix method of calculating light scattering by particle, incident and scattered fields are expand into spherical vector wave functions: which, via their relationship derived from the Maxwell equations, leads to the T-matrix, a transferring matrix between expansion coefficients of fields.

在粒子光散射计算的T矩阵方法中，将入射场和散射场用球矢量波函数展开，通过Maxwell方程推出二者之间的关系-零场方程，可获得散射场和入射场展开式系数之间的传输矩阵-T矩阵。

In the chiral SU(3) quark model, we use the coupling between quarks and nonet scalar meson fields and nonet pseudo-scalar meson fields to describe the medium and long range interactions, and use one gluon exchange to describe the short range interaction. In the extended chiral SU(3) quark model, besides the nonet pseudo-scalar meson fields and the nonet scalar meson fields, the coupling between vector meson fields and quarks is also considered, the short range interaction can be dominately described by vector meson exchange. We investigate the nucleon-hyperon interaction in the extended chiral SU(3) quark model and study the S-wave phase shifts of N-Λ and N-Σ systems. Comparing to the results in chiral SU(3) quark model, we find that the short-range interaction could be described either by the one-gluon exchange or vector meson exchange.

在手征SU(3)夸克模型中，用夸克与标量介子九重态和赝标介子九重态场的耦合来描述中长程相互作用，单胶子交换来描述短程相互作用，推广的手征SU(3)夸克模型是在原来手征SU(3)夸克模型的基础上进一步引入了夸克和矢量介子九重态场的耦合，主要由矢量介子交换来描述短程相互作用，在推广手征SU(3)夸克模型下研究了核子－超子相互作用过程，计算了N-Λ和N-Σ相互作用的S波散射相移，通过和手征SU(3)夸克模型的结果比较，发现N-Λ和N-Σ系统的短程相互作用既可以由单胶子交换来描述，也可以由矢量介子交换来描述。

Using particle image velocimetercombined with CFD dynamic mesh,an experimental and simulation study was carried out on flow field in the near-wall region outside a vibrating tube.The charts of velocity vector of flow field outside the tube under five conditions with amplitude 1.3 mm and frequency 5—25 Hz were obtained,and the cosine of average synergy angle of flow field outside the tube was calculated.

采用粒子图像测速与CFD动网格相结合的方法，对振动圆管外近壁区流场进行了实验及模拟研究，得到了振幅1.3 mm、频率5～25 Hz范围内的管外流场速度矢量图，计算了不同工况下管外流场的平均场协同角余弦值。

So far, most research about vectored nozzles is numerical simulations of internal flow field and manuverbility. However, research about their infrared properties, especially systematically research about spectral properties is very sparce.

目前国际上对矢量喷管内流场的数值计算，矢量喷管的机动性能的研究比较多，然而对矢量喷管红外辐射特性的研究非常少，特别是系统地研究矢量喷管壁面和出口平面的光谱辐射特性方面的工作特别少。

In this way, the simulation of actualseepage fields in complicated site and construction conditions were made in order tohave a deep view of the general rules of seepages in earth dam, and illuminate laws ofmain physical quantities.

通过土坝渗流场的三维非稳定分析，以期达到对土坝渗流场实际复杂情况的模拟，比较理想地反映不同时段的土坝渗流场中等势线、流速矢量、无压渗流场自由面以及流量等渗流要素在不同条件下的变化规律，从而在一定程度上弥补过去对土坝渗流场研究的不足。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。