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正交坐标系

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It is shown that in Jameson's algorithm is not an orthogonal stream-lines coordinate system, but a local stream-lines coordinate system instead. Nevetheless, because of the finite-difference discretization in Jameson's scheme is not carried out along the direction of s and n, but along the Cartesian coordinates, the analysis on all terms of the full potential equation in Cartesian coordinates reveals that his scheme does take a back-ward difference along the streamwise exactly at all points in the supersonic flow region.

表明其所采用的坐标系不是真正的正交流线坐标系,而是局部流线坐标系;同时由于Jameson方法并不对s,n进行差分离散,而是在原笛卡尔坐标系下作差分离散,对笛卡尔坐标系下的全位势方程中的各项的分析表明,Jameson方法恰好能做到在超音速点沿真正的流线方向作后差分。

Built up dimensional reference frame and vector equation of movement model of orthogonal turn-miling.

为了提高数控车铣的编程效率,论述了正交车铣运动的特征,同时通过对正交车铣运动过程的分析,建立了一个描述其运动的空间坐标系,从而建立了正交车铣运动模型的矢量方程。

As the complexity of dealing with the boundary of the deviated wells with the orthogonal coordinate system, the computation of induction logging response using an oblique coordinate system is discussed.

由于在正交坐标系中斜度井边界处理的复杂性,提出一种非正交计算方法,即在非正交坐标系计算了斜度井中感应测井的响应。

By coordinate transformation,specifically,by using orthogonal coordinate system to obtain vertical high resolution ratio in superstratum water of Beibu Gulf and making use of Sigma coordinate system to match terrain in bottom water,the authors intend to set up Beibu Gulf Physical Oceanic Model and use the model to simulate partial tide M\-2,partial tide K\-1 and partial tide O\-1 respectively.

采用坐标变换方法,在北部湾上层海洋采用正交坐标系以获得垂向高分辨率,在底层水体采用 Sigma坐标系以拟合地形,建立北部湾的物理海洋模型,并利用建立的模型分别模拟北部湾的 M2 、K1 、O1 分潮。

Currently, orthogonal coordinates one-way wave downward continuation has been accepted by petroleum industry as a tool for imaging complex geology because of its efficiency, accuracy, stability and ability of handling rapid velocity variation.

目前,正交坐标系单程波下行延拓以其计算效率、精确性、稳定性和处理高速变化速度模型的能力,成为工业界普遍采用的复杂介质成像方法。

Basing on the equivalent Maxwell's equations, the dissertation presented derivation of quasi-perfectly matched layers absorbing boundary conditions in general orthogonal coordinates.

本文从等效的Maxwell方程近似推导了广义正交坐标系的准完善匹配层吸收边界条件。

The model of the discrete ordinates method and the finite volume method in multi-dimensional orthogonal coordinates, and body-fitted coordinates is established to solve the radiative transfer equations in absorbing, scattering media.

建立了离散坐标法及有限体积法、正交坐标系多维,贴体坐标系多维吸收、散射性介质内的辐射传递计算模型。研究非灰体粒子系内辐射传递及将其简化为灰介质系的有效方法。

Deducing the associated Euler-Lagrange equations of the two models, it is analyzed the diffusion performance of the p-harmonic equations and proved the two models have unique solutions in the space of Sobolev.

利用变分原理,推导出两种变分模型所对应的Euler-Lagrange方程;利用图像的局部正交坐标系,分析其扩散能力。

Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory, the force and moment equilibrium equations are established by the technique of apparent components system.

以在空间曲线理论中起重要作用的富列耐—塞勒(Frenet—Serret)公式为基础,把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式,建立了力和力矩平衡方程。

The numerical model is tested by computing wave field for several experiment terrain, and agreement between model results and available experimental data is found to be quite reasonable, which demonstrates the model's ability to simulate wave shoaling, refraction, diffraction and reflection et etc.

因此,文中在前人关于Boussinesq方程波浪数学模型研究的基础上,从质量守恒方程和Euler方程出发,推导了正交曲线坐标系下的改进型Boussinesq方程,进而建立正交曲线坐标系下的二

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