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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。

In order to analyze the influence on flood control by Chenhu super bridge in Hanjiang River , a two2dimensional math2ematical model of water flow under non2orthogonal curvilinear coordinates is established , and then , the model is applied to Han2jiang River.

为了分析沉湖特大桥对汉江沉湖河段的防洪影响情况，建立了非正交曲线坐标下平面二维水流数学模型，并应用该模型对汉江沉湖特大桥修建前后的水流运动情况进行了模拟。

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。

In curvilinear coordinates , a numerical simulation model for wave propagation on non-uniform current in water of slowly varying topography was presented with employing self-adaptive grids method.

利用自适应网格技术，建立了曲线坐标系下缓变水深水域非均匀水流中波浪传播的数值模拟模型。

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。

The curved grid is taken to constitute a generalized curvilinear system. Thus, the wave equations have to be written in curvilinear coordinates before applying the numerical scheme.

这一映射技术将直角坐标系下的曲界面变换成曲坐标系下的规则界面，在曲坐标系下用伪谱法模拟波场，最后利用插值得到实际波场的合成记录。

The interior contour surface of the tire is taken as the surface of reference and the system of orthogonal curvilinear coordinates is used for modeling the shell geometry and deformations.

采用Reddy型高阶剪切精化理论，导出了一般壳体内任一点的位移表达式。

Based on the Navier-Stokes equations in conservative form derived with respect to nonorthogonal curvilinear coordinates and nonorthogonal velocity components, the numerical method for solving 3D viscous flow has been discussed.

本文基于非正交曲线坐标与相应的非正交速度分量下导得的守恒型N—S方程，讨论了求解三维粘性流动的数值方法，计算中显式时间推进算法与Baldwin—Lomax湍流模型被采用，应用本工作发展的程序，作为算例计算了一个沿径向非等截面环形叶栅的三维粘性流场，得到了诸如三维压力分布，总压损失分布以及十分清晰的二次流动图景等丰富的流场信息。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。