非数值计算

Then the boundary element integral equation of interior and exterior form is deduced in detail, also the form with corner coefficient. The significance for numerical calculation and principle of the singular integral is analyzed, and a non-isoparametric transformation method is presented to calculate weak singular integral and Cauchy integral, the method presented provides us a very simple way to computer the two kinds of singular integral of Helmholtz boundary integral equation, and it is easy to program in computer. After the difficulty of the calculation for multi-frequency of Helmholtz boundary element is explained, a method named SECHIEF (Series Expansion Combined Helmholtz Integral Equation Formulation), which is focused on the computational efficiency, is presented.

对结构声辐射的边界积分方程的内部形式与外部形式进行了详细的推导，给出了角点系数的计算方法与边界积分方程的形式，在此基础上，分析了奇异积分产生的原理及其对数值计算的重要性，提出了一种计算奇异积分的非等参(来源：Ae8a8BC论文网www.abclunwen.com)单元的变换方法，该方法给Helmholtz 声学边界积分方程中的弱奇异积分与Cauchy 奇异积分的计算以及编程提供了极大便利。

It shows that a remarkable advantage of the symplectic methods applied to the Schrodinger equation is the precise preservation of charge conservation law. In order to study the numerical stability, we also adopt the different time step sizes.

为了比较，我们还给出了同阶的非辛算法的数值模拟，从而得到辛摄动配置算法和其在理论上等价的辛龙格-库塔方法在数值上的等效性以及辛算法在数值计算中的优越性。

The deformed metal-SWNTs and metal-TCNTs can be transformed to semiconductor or insulator due to deformations resulting to variation of the atomic structure and the nearest-atom transfer integral having relation with the directions.Based on the Boltzmann transport equation and n - electronic energy dispersion relations for individual SWNTs, the theoretical model caculating the current and conductance of the SWNTs is deduced. The low-temperature conductances of undoping or doping SWNTs are studied numerically, the calculated results show that, for the doping SWNTs, the conductance is quantized, i.e.

我们从Boltzmann方程出发，并结合SWNTs的能量色散关系，导出了计算手性SWNTs电导或电流的理论模型，并分别对非掺杂和掺杂SWNTs的低温电导或电流进行数值计算，结果表明：对于非掺杂的SWNTs，其电导是量子化的，即电导随偏压或电子输运能量变化呈跃变的台阶式结构，这些结构随管径增大或温度升高变得不明显；对于掺杂SWNTs，当偏压为某些特定值V_i时，传导电流有跃变，且传导电流的大小、跃变周期及跃变幅度等不是完全由掺杂后的电子浓度决定的，而与管半径R及掺杂后Fermi能级附近的电子态密度有直接关系，随着温度的升高和管径的增大，跃变结构趋于平滑。

In this paper,the Newtonian fluid model was used to describe rheological property of the produced fluid,and motion equation of unsteady flow of Newtonian fluid in eccentric annulus with the inner cylinder reciprocating axially was transformed by means of the method of undetermined coefficients.

采用Newton流体模式描述油井产出液的流变性，利用待定系数法变换Newton流体在内管做轴向往复运动的偏心环空中非定常流的运动方程，建立给定流量下Newton流体在内管做轴向往复运动的偏心环空中非定常流的压力梯度计算公式，并利用有限体积法对压力梯度进行数值计算。

The effect of the elastic-plastic matrix of friction soil with nonrelevant flow rule on the numerical convergence of finite element method is analyzed in this paper; and the effect of elastic modular, poisson ratio and earth pressure coefficient on numerical results are studied in this paper. At the same time, the hybrid element with a mixture of displacement and stress variables and the conventional element with solely displacement variable are compared when used in geomaterials.

在ABAQUS有限元分析软件的基础上，本文研究了服从非关联流动法则摩擦性土体的弹塑性矩阵对有限元数值算法的影响，并研究了弹性模量、泊松比以及地基土压、力系数对数值计算结果的影响，同时探讨了数值分析过程中常规位移元与杂交元在岩土工程中的应用。

The theoretical and computational results show that an important reason resulting in eccentric wear of the inner cylinder and the pumping rod lies in the nonuniformity of the stress distribution on the outwall of the inner cylinder which yields excentralization effect of the pumping rod when swabbing fluid flows in eccentric annuli with the pumping rod moving axially in a well.

在实验上，通过不同重量百分比浓度的HPAM水溶液在内管做轴向往复运动的偏心环空中非定常流实验，把由理论公式算得的时间平均流量与实验中测得的时间平均流量做了比较，验证了本文数值计算幂律流体在内管做轴向往复运动的偏心环空中非定常流方法的正确性；上述的理论与计算表明，抽油机井杆管偏磨的一个重要原因是，在聚驱工况下，抽汲液体在抽油杆做轴向运动的井筒中流动时，抽汲液体作用在抽油杆外壁上的压力分布的不均匀性所引起的抽油杆在井筒中的偏心效应。

A 550kV SF6 circuit breaker has been taken as an example, the gas blast flow in no-load breaking process has been simulated, the results show that the basic solution of Euler equation set derived is correct, which lays the foundation for developing the Boundary Element Method of numerical solution for the time-dependent compressible flow of fluid.

作为数值模拟实例，文中对550kV SF6断路器空载开断过程中吹弧气体流动规律进行了数值模拟，其结果证明文中导出的基本解是正确的，从而为进一步开发求解非定常可压缩气体流动的边界元数值计算法奠定了基础。

Numerical simulation of water injection into coal seam throughlong drill hole and determination of its reasonable parameters

用有限元数值模拟方法求解了煤层注水二维、三维非定常渗流方程，用该数值计算模型结合具体实例，主要分析了工艺参数中注水压力、时间和钻孔间距与湿润范围的动态变化关系，给出了选取合理的注水工艺参数的计算公式。

Applying the laws, the high-effectively transporting of viscous fluid can easily realizedIt is provided and consulted conveniently in the oik chemistry, circumstance , mill-run and convective thermodynamics to successfully calculate, especially on Bingham fluid, Non-Newton fluid.

对非牛顿流体中幂律流体和宾汉流体的成功数值计算，尤其是对具有流核的宾汉流体的较成功数值计算，为石油、化工、环境工程、选矿和对流传热学等方面的应用提供了方便和参考。

In this paper, the mechanisms of the generation, migration and production for coal seam gas are researched and the geological model for coal seam gas reservoir simulation is presented, according to the theories and methods of coal seam gas geology, petroleum geology and dynamic of fluids through porous media. A three-dimensional, dual-porosity, two-phase, pseudo-steady, non-equilibrium sorption mathematical model is established with the help of petroleum reservoir numerical simulation method. After that, this complex mathematical mode is approximated and solved by finite-difference and fully implicit methods. Coal Seam Gas Reservoir Simulation software in 1. 0 version (CSGRS 1. 0) with Chinese interface of pre-and post-processing function is developed.

本文应用煤层气地质学、石油天然气地质学和渗流力学等学科的理论和方法，研究了煤储层中煤层气的生成、储集、运移和产出机理，概化出了煤层气储层模拟的地质模型；以油气藏数值模拟和数值计算方法为工具，建立了描述三维、双孔隙、非平衡吸附、拟稳态条件下气-水两相流体混相运移规律的煤层气储层模拟的数学模型；详细推导出了该数学模型的全隐式求解方法；并借助计算机技术开发了具有中文操作界面的煤层气储层数值模拟软件CSGRS 1.0，实现了这一复杂数学模型的数值求解。

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。