曲线坐标系

A new method for the generation of curvilinear grid has been proposed. Some curvilinear grid generation examples show that satisfactory grids can be generated for simple-connected regions and connected- regions with complex boundary by using the proposed adjusting factors.

3提出了一种生成边界处正交曲线网格的新方法，收敛速度快，在复杂边界流场区域的数值计算中，有很大的实用价值；为了克服复杂几何边界给数值计算带来的困难，提高通用性以及水流的预测精度，本文采用上述网格生成技术，在直角坐标系三维非恒定明渠紊流的沿层积分数值模型基础上，发展了曲线坐标系下的多层紊流水动力模型。

In inner action domain, the local coordinate of each point related to test feature curve need to be calculated, and then the point is deformed by finding the position with the same coordinate related to reference feature curve.

在内部作用范围内，通过计算每一点相对于测试特征曲线的局部坐标，然后在参考特征曲线坐标系下找到相同的坐标位置，完成该点的交换过程。

The author then introduces the differential relationship between vectors as well as tensors in a curve coordinate system and curve coordinates, and the transformation relationship between coordinate systems and their matrix expressions.

简要介绍了卫星重力测量中所涉及到的曲线坐标系下矢量、张量与曲线坐标之间的微分关系、坐标系之间的变换关系以及它们的矩阵表示。

A curve coordinate system is established in which the original problem may be reduced to a fixed boundary problem over a rectangular region and thus may be solved by difference methods .

给出了一种用曲线坐标求解椭圆型偏微分方程自由边值问题的数值解法；该方法通过引入两个辅助问题，它们构成一个曲线坐标系。

A curve coordinate system which is suitable for variable height curved box-girder were established. The flexure, torsion and distortional warping displacement functions were established, and the strain-deformation equations were obtained, a spatial finite element analysis method of trapeziform cross section variable-curvature box-girder with vertical symmetrical axis was also presented.

建立适合于变高度曲线箱梁的曲线坐标系，推导了变曲率、变高度箱梁弯曲、翘曲扭转和畸变的位移方程和应变-位移关系式，提出了具有一个竖直对称轴的变高度变曲率曲线箱梁的薄壁曲梁空间分析有限元方法。

In this paper, the author reviewed the nonorthogonal coordinates one-way wave migration methods using tilted coordinates, curvilinear coordinates, and elliptic coordinates.

从倾斜坐标系、曲线坐标系和椭圆坐标系3个方面详细阐述了非正交系单程波偏移方法。

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

To analyze the feature of dam-break flow in natural channel bends,channel-fitted orthogonal curvilinear coordinate system is established and two-dimensional shallow water equations are derived in this system through coordinate transformation,simplification and depth integration.

为分析溃坝波在天然弯曲河道中传播的特点，建立了跟踪河道走向的正交曲线坐标系，并通过坐标变换、简化和水深积分推导出了曲线坐标系下的二维浅水方程。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

The numerical model is tested by computing wave field for several experiment terrain, and agreement between model results and available experimental data is found to be quite reasonable, which demonstrates the model's ability to simulate wave shoaling, refraction, diffraction and reflection et etc.

因此，文中在前人关于Boussinesq方程波浪数学模型研究的基础上，从质量守恒方程和Euler方程出发，推导了正交曲线坐标系下的改进型Boussinesq方程，进而建立正交曲线坐标系下的二

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。