| 1. | They form a three-parametric, orthogonal net and may be chosen as coordinate lines of a special, curvilinear coordinate system .
它们形成三参数正交网，可以把它们选作特殊曲线坐标系的坐标线。 |
| 2. | Modification of horizontal 2d shallow water model in curvilinear coordinates with its applications
曲线坐标系下平面二维浅水模型的修正与应用 |
| 3. | Numerical simulation of two - phase turbulent combusti on flow in an afterburner under generalized nonorthogonal curvilinear coordinate systems
非正交曲线坐标系数值模拟加力燃烧室湍流两相流燃烧 |
| 4. | Using matrix as a powerful mathematical tool , we present the description of a particle ' s motion in general curvilinear coordinate system
摘要利用矩阵这一强有力的数学工具，给出了一般曲线坐标系下质点运动的描述。 |
| 5. | 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。 |
| 6. | The contravariant velocity fluxes are used as the dependent variables in the paper . the discretization equations were sieved using the simple , simplec and simpler algorithms
选取曲线坐标系下逆变速度通量分量为独立变量，由水位校正法求解水位流速耦合问题。 |
| 7. | Based on poission equation conversion , generated methods of curvilinear grids are presented . 4 . 2 - d flow and sediment transport model with non - staggered curvilinear grids is presented
( 3 )以poission方程变换为基础，建立拟合曲线坐标系下非正交和正交曲线网格生成方法。 |
| 8. | The eigenvalues ofjacobian matrix are derived and the stability condition is also presented . according to the bernoulli equation , similar to compressible calculations , pressure damping is introduced to accelerate convergence
推导了euler方程通量矢量的jacobian矩阵在直角坐标系和曲线坐标系下的特征值，并由此导出相应的稳定性条件。 |
| 9. | Firstly , under the curvilinear coordinates , mathematical model for wave propagation in water of slowly topography is presented . the model is suitable to arbitrary boundary shapes and overcomes the limitation of other models with algorithm transformation
首先，基于曲线坐标系，建立了缓变水深水域波浪传播的数值模拟模型，模型适宜于任意变化的边界形状，克服了各种代数坐标变换的局限性。 |
| 10. | Go a step further , beginning with the relation of the general curvilinear coordinate system and its corresponding reciprocal base , we derived the description of the particle ' s motion in the reciprocal base , and the covariant components of the particle ' s motion were obtained as well
进一步地，从一般曲线坐标系与其对应倒基的关系出发，导出了一般曲线坐标系对应倒基下对质点运动的描述，并进而给出了质点运动对应的协变分量。 |
