曲线坐标系

The grids can be densified locally where the flow is complicated for the sharp change of water depth.(5) 2-D hydrodynamic equations in the generalized curvilinear coordinates have been derived with the contravariant velocities as main variables. The new equations keep the original styles and physical meanings. Based on the water depth correction method, the 2-D flow numerical model has been established and validated by the measured data.

推导了广义曲线坐标系下以逆变流速张量作为主变量的二维水动力方程，新方程保持原有结构形式及物理含义，采用水位校正法建立了二维水流数学模型，经实测资料验证后的模型，模拟并分析了分流角度、宽深比等因素变化对分汊流平面二维水流结构的影响。

This paper puts forward a united Laplacian transform which is based on the differential geometry curve coordinate system,the practical numerical experiment results show that this method has a strong edge detection ability and produces the better effect compared with old method.

该文采用基于微分几何曲线坐标系下普遍的Laplacian算子进行边缘检测，从结果可以看到处理效果明显优于普通的方法。

The PSE in the curve coordinate systems are solved by the numerical techniques developed efficiently in this paper. A normal transform is introduced, and there are enough much grids in the region between the critical layer and the wall, where the variation of the disturbance is the quickest. The finite-difference of governing equations with fourth-order accuracy in the normal direction is utilized in full regions including points close the wall, and is very important for accurately discreting equations.

对于曲线坐标系下的抛物化稳定性方程，文中发展了求解的高效数值方法：引进法向变换，使得在临界层与壁面之间的扰动量变化最快的区域有更多的法向网格点；导出包含边界邻域在内的完全四阶精度的法向有限差分格式，这对方程精确离散至关重要；采用全局法和局部法相结合的方法及其新的迭代公式，大大加速收敛并得到更精确的特征值。

The pressure correction method is used to calculate the two-dimensional turbulent flow in general curvilinear coordinates.

按照进气箱对称面的形状，给出一种简化的二维进气箱几何模型，用微分方程法生成贴体的曲线网格，在任意曲线坐标系下采用压力修正法数值模拟了其内部二维湍流流动。

The model system is in the generalized curvilinear coordinates, using high precision self-adaptive grids to fit the complicated topographies and coastal shapes.

模型系统采用广义曲线坐标系下的形式，使用高精度的自适应网格拟合复杂岸界。

In this paper, a three-dimensional multi-level hydrodynamic model with curvature correction in curvilinear coordinates has been developed based on the update turbulent theory and numerical method, which can effectively solve the practical problems of flows and water quality transportations in hydraulic engineering, and can strengthen the practical usage of the mathematical model.

本文基于现代紊流理论、现代数值计算方法建立适合描述水利工程中紊流规律的非线性数值模型，即曲线坐标系下的多层紊流水动力模型，旨在提高紊流精细模拟的实用性，以求有效地解决水利工程中的水流和输运现象的实际问题。

Parabolized stability equation of 3D disturbance wave was deducted under orthogonal curvilinear coordinates. The static pressure distribution on blade surface was measured in wind tunnel test, and this result was used for analysis of blade's flow stability.

推导出正交曲线坐标系下三维扰动波的抛物化稳定性方程，在风洞实验中测量叶栅叶片表面的静压分布，并结合测量结果对设计叶栅的流动稳定性进行特征值分析。

A numerical method, where the pressure is used as a primary dependent variable, is presented for the solution of the two-dimensional steady Navier-Stokes equation in general curvilinear coordinates. SIMPLE (Semi-Implicit Method for Pressure Linked Equations) is mainly adopted.

本文首先详细推导了二维任意曲线坐标系下张量形式的流动控制方程及其和压力修正方程的离散形式，应用求解压力速度耦合的SIMPLE算法，以压力为主要求解变量对Navier-Stokes方程进行数值求解。

Geometrically nonlinear strain-displacement relations, the total potential functions and equilibrium equations of the tires are derived with respect to the orthogonal curvilinear coordinates for details.

以轮胎的内轮廓曲面为参考面，用正交曲线坐标描述轮胎的几何变形，详细推导了正交曲线坐标系下轮胎的几何非线性的应变—位移公式和平衡微分方程。

For some particular casesof boundary-value problems such as the problems with curvilinear boundariesor a sharp re-entrant corner,the B-FEM in curvilinear coordinates will givequite fine results.

对一些特殊问题，如曲线边界问题、尖角奇异性问题等，在曲线坐标系中建立的B样条有限元法，具有良好的计算效果。

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 。