张量形式

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。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all th...

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

Based on the tensor expression for the Breit-Pauli Hamiltonian,and with the aid of irreducible tensor theory,the theory of relativistic corrections to the non-relativistic energies of many-electron atoms has been generalized to the case in which Racah wave functions are the linear combinations of multi-Slater wave functions,analytic formulism for calculating the relativistic corrections,which include mass correction,one-and two-body Darwin correction and spin-spin contact interaction,has been derived,all the angular interactions and spin sums involved in the problem have been worked out explicitly by using irreducible theory.

以Breit-Pauli哈密顿的球张量形式为基础，借助不可约张量理论，将多电子原子能量的相对论修正理论拓展到了原子的拉卡波函数为多个Slater基函数的线性组合的情形，导出了此情形下多电子原子能量相对论修正(包括相对论质量修正项、单体和双体达尔文修正项、自旋-自旋接触相互作用项)的解析表达式，完成了所有角向积分和自旋求和计算。

Three turbulent models used recently have been analyzed. On the basis of turbulent random theory, the k-εtwo equations turbulent model has been modified by nonisotropic hypothesis, to accommodate the nonisotropic property of flow field.

重新推导了雷诺应力表达式，将湍动粘性系数用一个二阶张量形式表示，以适应流场的各向异性性质，并对ε输运方程的生成项做了修正。

Based on the total Lagrangian description, general stress and strain iensors corresponding to Kirchhoff siress tensor and Green strain tensor are used in the process of derivation.

推导过程基于完全的增量形式Lagrange描述法，采用与Kirchhoff应力张量和Green应变张量对应的广义应力和广义应变张量进行分析。

Based on definition of strain energy function,increment formula of stationary potential energy of finite displacement theory were derived in terms of Kirchhoff stress tensor and Green strain tensor.

基于有限位移理论应变能密度函数的定义，利用Kirchhoff 应力张量和Green应变张量，推出了非线性分析中增量形式的势能驻值公式，并证明了由势能增量驻值原理得到的增量平衡方程形式与由虚位移原理所得的结果完全一致。

Equations in form of tensor for describing fluid dynamics are presented, which are free of coordinates.

本文首先推导得出了不受坐标系限制的张量形式的流体运动学基本方程组。

Afterwards, using the spherical tensor form of many-electron atom Hamilton and the irreducible tensor theory, the relativistic and fine-structure energy correction to the non-relativistic energy of Boron-like atoms in the ground and the first excited states have been further investigated. A theoretically analytic way has been given as to the calculation of all the radial integrations and spin summations, which concern interactions such as orbit-orbit, spin-orbit, spin-spin and spin-other-orbit. Therefore, the whole process of calculating the many- electron atom energy structures has been explicitly revealed and the results are relatively precise and satisfactory.

在此基础上，利用多电子原子哈密顿算符的球张量形式和不可约张量理论，进一步研究了类硼离子基态和第一激发态非相对论能级的相对论修正和精细结构，给出了轨道-轨道、自旋-轨道、自旋-自旋、自旋-其它轨道等相互作用所涉及的所有角向积分和自旋求和的解析计算方法，清晰地展示了多电子原子结构计算的过程，得到了较为精确的理论计算结果。

The model of a single domain under in-plane uniaxial anisotropy is introduced to describe the GMI effect of sandwiched film. The theory is based on solving Maxwells equations and the linear Landau-Lifhitz-Gilbert equation simultaneously.

首先，在考虑各向异性场及其交变部分的基础上，通过求解Landau-Lifshtiz-Gilbert方程计算出磁导率的张量形式。

By making use of the invariance properties of tensors , the disadvantages due to coordinates transformation are totally avoided.

采用张量形式，从HellingerReissner变分原理出发，建立一种列式杂交/混合有限单元的有效方法。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。