坐标系的

Based on application of 3D body-fitted numerical grid with a curvilinear coordinates system and the theories about turbulent flow and the laminar flow, the new techniques that the independent variables were expressed by co-variable velocities were applied to solve the problems about flow around a high-speed car body for the first time.

采用当今数值新技术，较为全面和深入地研究了高速汽车车身绕流问题。本文依据k-ε双方程湍流模型和附面层理论，采用先进的曲线坐标系下的贴体与边界正交数值网格技术，首次把以协变速度分量作为独立变量的数值技术运用于汽车车身绕流问题的求解。

A three- dimensional turbulence model in non-orthogonal curvilinear coordinates is proposed to investigate the impacts of vegetation on channel morphology. The model includes vegetation-induced drag force and vegetation density in the control equations to describe the effects of vegetation on flow structure, and solves sediment continuity equation to compute channel geometry.

本文建立曲线坐标系下的三维湍流模型研究水生植物对河道形态的影响，在水流控制方程中加入植物阻力项和植物密度项来描述水生植物对水动力特性的贡献，通过泥沙质量守恒方程求解河道变形，在适体网格中求解模型的控制方程。

If the air drag and composite motion are considered in the analysis of the balloon yarn in ring spinning,the calculation with the circular cyclindrical coordinates is simpler and more precise.

在环锭纺气圈的分析中，用柱面坐标系计算能简明、清晰地反映空气阻尼力、复合运动诸因素的综合影响。本文介绍了根据照相测量的气圈形态参数计算纱线张力的新方法

In this paper,the diagonal Cartesian method simulating the complex boundary, together with thetreatment to wetting-drying dynamic variation of the boundary, is applied into thetwo-dimensional shallow-water flows and sediment transport mathematical modeling,and their governing equations are discretized and solved in diagonal Cartesiancoordinates.

本论文采用斜对角笛卡尔坐标方法对不规则的复杂边界进行模拟，重点处理好干湿动边界的变化，并在斜对角笛卡尔坐标系中进行二维浅水运动的水流泥沙基本控制方程的离散和数值计算求解。

The 2-D transfer function of the bistatic SAR is obtained. Azimuth position distortion along range existing in the original alogrithm is corrected by mapping from scene coordinate to azimuth-slant distance coordinate. Bistatic SAR date can still be processed by a mono-static SAR processor. The efficaciousness of the proposed algorithm is verified through point target simulations.

算法通过数值计算得到双基地二维传递函数，通过场景坐标系向方位－斜距平面的映射校正了原算法中存在的沿距离变化的方位位置畸变，进而来用常规单基地SAR成像处理流程实现对双基地SAR回波数据的成像处理，最后通过点目标仿真验证了算法的有效性。

Based on a nonclassical theory of plasticity and the continuum damage mechanics,a damage constitutive equation is obtained for the ferrite phase with the damage evolution law for mixed hardening materials from an ellipsoidal void model under particular coordinates,where the void shape variation is considered.

基于非经典塑性理论和连续介质损伤力学，利用在一个特殊坐标系下基于椭球形孔洞模型得到的可考虑孔洞形状变化混合强化材料的损伤演化率得到了铁素体相的损伤本构方程，通过混合物理论利用铁素体和渗碳体相各自本构关系并考虑其几何特征得到了珠光体团的损伤本构模型。

The ellipsoidal coordinates and the square root characteristics of the displacement jumps across the crack surface are cleverly used in the hypersingular integral equations for an arbitrary planar crack embedded into the infinite three dimensional homogeneous elastic solid.

对无限大三维均质弹性体中任意平片裂纹的超奇异积分方程，巧妙地引入椭球坐标系和利用裂纹表面位移间断具有平方根的特性，获得了受任意方向均布内压力作用下椭圆平片裂纹问题的超奇异积分方程的解析解。

Keywords: Elliptic curve;Point addition;Cryptosystem;FPGA design.

在对已有的几种投影坐标系下的点加运算进行分析比较的基础上，提出了一种适合于FPGA设计实现的椭圆曲线上的点加运算方案。

Starting from the fundamental equations of stochastic medium theory, the ore-drawing with inclined wall boundary conditions is discussed in the paper.

本文从随机介质理论的基本方程出发研究倾斜壁边界条件下的放矿规律，在易于求解的仿射坐标系中，应用差分方法对矿岩移动的速度场进行了确定。

The Fourier transformations about the azimuthal angle and Hankel transformation about the radial direction have been used to convert the basic equations of elasticity into a non-homogenous first-order ordinary differential equation system in cylindrical coordinates.

在柱坐标系下，利用关于方位角的Fourier变换及关于径向的Hankel变换，将弹性力学基本方程组转化为非齐次的一阶常微分方程组的标准形式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。