笛卡尔坐标系

笛卡尔坐标系下不可压N-S方程在方形通道中的奇点及其影响区域分析

Analysis of Singular Points and Their Influence Regions of Navier-stokes Equation Describing Incompressible Flow in Square Duct under Cartesian Coordinates

并用该高精度数值方法分别计算了笛卡尔坐标系不可压缩Navier-Stokes方程和一般曲线坐标系不可压缩Navier-Stokes方程。

Not only in Cartesian coordinate system but also in curvilinear coordinate system , Incompressible Navier-Stokes equation is calculated by the high-order numerical method .

我们推导出柱坐标系中描述该波的非线性耦合方程组，求出一类不同于在笛卡尔坐标系中得到的偶极旋涡（vortex）的新解。

We have found a new solution of the system , which is different from the dipole vortex obtained in a plane geometry .

进而导出了带有J2项摄动的环绕星相对运动方程，并给出了基于惯性笛卡尔坐标系运动学变量的相对轨道控制方法。

Then a control method considering the J2 perturbation based on Encke 's linearization equation is proposed to maintain the relative motion of the constellation .

根据其优化思想，在非均匀笛卡尔坐标系网格条件下，推导得到了更为通用的GODRP格式优化系数公式。

In this paper , the derivation and formulation of the GODRP scheme were improved for non-uniform Cartesian grids in a more general form .

主要成果总结如下：（1）采用高斯&克吕格（Gauss-Kruger）投影将经纬度坐标系下的地形转化为直角坐标，建立了笛卡尔坐标系下渤海海域的潮流数值模拟模型。

The main achievements are summarized as follows : ( 1 ) Conversion of the topography from geographic coordinates to Cartesian coordinates is performed through Gauss-Kruger projection . The tidal current numerical model for Bohai Sea is established under the Cartesian coordinates .

洛仑兹变换在笛卡尔坐标系一般惯性运动中的形式

The Form of Lorentz Transformation of General Inertial Motion in Descartes Coordinate System

非均匀笛卡尔坐标系网格优化频散相关保持格式研究

Grid-Optimized Dispersion-Relation-Preserving Schemes for Non-uniform Cartesian Grids

点在绝对静止笛卡尔坐标系中的坐标为绝对坐标。

The absolute coordinates of a point is its coordinates in absolute rest Cartesian coordinate system .

本文首先在笛卡尔坐标系下建立了机器人轮式移动的运动学和动力学模型。

The kinematics and dynamics model of wheeled movement is established in the Cartesian coordinate system .

本文在保持结构参数不变的条件下，将笛卡尔坐标系下的环矩形静压垫展开成柱坐标系下的扇形静压垫。

In this paper , annular rectangular in Cartesian coordinate is spreaded to sector in column coordinate without changing the structure parameters .

环矩形结构的静压垫在静压支撑中的应用十分广泛，但在笛卡尔坐标系中计算起来却非常困难。

Annular rectangular hydrostatic cushion is one of the most commonly used structures , but it is difficult to study the characters in Cartesian coordinate .

该模式保持了笛卡尔坐标系下原有的整体积分性质。由于自适应网格与计算区域边界相重合，因而该模式可用于具有复杂形状的区域边界的计算问题。

The model preserves the integral properties as well as IAP model , and can be applied to the numerical calculation with complex shaped boundary .

对比液体单相对流实验建立数学物理模型在三维笛卡尔坐标系内进行微通道流固耦合数值模拟。

Based on the liquid single-phase convection experiments , mathematical and physical models were constructed for the three-dimensional fluid-solid conjugated convection simulation in a microchannel .

本文提出一种自适应对数极坐标变换的方法来，该方法实现了图像从笛卡尔坐标系转换到对数极坐标系时的均匀采样。

An adaptive polar coordinate transform method to achieve images from a cartesian coordinate system of polar coordinate conversion to sampling uniformity has been put forward .

由于笛卡尔坐标系的制约，多变量分析及显示成为复杂固体火箭发动机设计优化的难点之一。

Because of the restraint of the Cartesian coordinate system , multivariable analysis and its visualization are difficult to conduct in optimum design for the complex solid rocket motor .

该方法采用四元数法代替传统矩阵法进行坐标变换，并将拼接模型和坐标变换操作均统一在笛卡尔坐标系下。

The quaternion instead of the traditional matrix is used to realize coordinates transformation , and connection model and coordinate transformation are established in the same Cartesian coordinate system .

而当垂直度误差不可以忽略时，对模型参数矩阵进行奇异值分解，证明了磁强计的输出在笛卡尔坐标系中的坐标在椭球面上，并给出平移误差参数的近似求法。

Otherwise , the singular value decomposition is used to decompose the parameters matrix . It is proved that the readings of magnetometer are on an ellipsoid when they lie in Cartesian coordinates .

针对计算机辅助图案设计系统中基于路径的图像变形问题，提出了通过构造笛卡尔坐标系来建立变形映射关系的算法。

In this paper , we bring forth a way of building up metamorphosis computer graphics through constructing Descartes reference frame , which is aimed at the path based image metamorphosis and computer graphics in the computer aid design system .

原有多孔径拼接算法在求解过程中采用传统矩阵法进行坐标变换，并且拼接模型和坐标变换操作分别建立在圆柱坐标系和笛卡尔坐标系下，导致计算较为繁琐。

In the computation process of the original connection algorithm , the traditional matrix method is used to realize coordinates transformation . In addition , connection model and coordinate transformation are established in cylindrical coordinates system and Cartesian coordinates system , respectively .

针对在Pro/Engineer环境下进行参数化三维设计，运用笛卡尔坐标系创建渐开线圆柱齿轮。就渐开线圆柱齿轮的创建过程进行细致分解，实现齿轮的三维直接造型。

Aim at three-dimensional design of parameter under the environment of Pro / engineer , exert descartes coordinate system to create cylinder gear of involute , in article , analyses in detail the creating process of the cylinder gear of involute , achieve three-dimensional direct sculpt of gear .

投影方程组使用笛卡尔直角坐标系的条件

The conditions for projective equations to use Cartesian right-angle coordinate system

在一个平面坐标系中竖直的轴。风和大浪可能会将轮船的重心移至三者直交的轴线；笛卡尔直角坐标系。

The vertical axis in a plane coordinate system . wind and sea may displace the ship 's center of gravity along three orthogonal axes ; a rectangular Cartesian coordinate system .

证明了笛卡尔坐标和球面坐标系下Navier-Stokes方程的一致性，并为其他坐标形式的Navier-Stokes方程之间的转换提供了研究参考。

The consistence of Navier-Stokes equations both in Cartesian coordinate system and in spherical coordinate system is proved , and the references for research about the coordinate transformation of Navier-Stokes equations in other coordinate systems are provided .