数值计算

On the basis of the model, the friction force in each meshing point on the spiral bevel gear surface covered by silver film is presented by numerical method. In addition, the result is indirectly proved by experiment.

用数值法求解了弧齿锥齿轮镀银齿面之间各啮合点处的摩擦系数；以试验方法对数学模型的正确性进行了间接验证；通过详尽的数值计算探讨了银层厚度、刀盘直径、基体硬度等参数对摩擦系数的影响。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

And some computing methods of stochastic differential equation are given.

基于Monte Carlo方法，结合微分方程数值解的方法，采用多种随机过程产生策略和随机模拟方法，对原系统进行了仿真，提出了相应的数值计算格式。

This paper gave the detailed reviews on previousresearch results on subdrainage home and abroad,studied the effect and mecha-nism of subdrainage facilities on drainage,waterlogging reduction,salt removeas well as nitrogen fertilizer application under subdrainage conditions by use oflysimeter experiments and field trials.Numerical modelling on water movementin heterogeneons multilayered soils as well as the optimization layout of spacingsand depths of PVC subdrain was also investigated in this paper by numerical sim-ulations.

本文在论述国内外暗管排水研究进展的基础上，采用蒸渗仪控制试验，田间试验和数学模型数值计算相结合的方法，对塑料暗管的排水、降渍、除盐效果及其机理和塑料暗管排降条件下小麦的N肥运筹进行了深入研究，并对排降条件下试区非均质分层土壤水分运动的数值模拟和塑料暗管埋深和间距的经济优化布局模式进行了探讨。

The result of the test was consistent with the result of numerical simulation very well .This shows that numerical method is viable to the tangentially fired boiler using the commercial software FLUENT .

同时对锅炉试验模型流场的测量，表明得出的锅炉屏区气流速度分布与数值计算结果吻合良好，这说明运用FLUENT 软件对四角切圆燃烧锅炉进行数值模拟是可行的。

By simulating the flows over a series of submarine models, which are created by our mathematical method through changing the parameters of hull form, the viscous resistances of these submarine models can be predicted, so"submarine viscous resistance numerical test tank"can be founded.

运用我们提出的实用艇型自动生成程序，变化相关的艇型参数，建立系列艇型，通过数值计算，得到这些艇型的水下阻力系数，初步建立了"潜艇水下阻力数值试验水池"。

The fluid flows and heat coupled calculation method is used. The standards two equations turbulence models, velocity and pressure coupled arithmetic are used.According to the results of numerical simulation analysis the local coefficient distribution changes along the pin fins.Study the effection that its height and shape of the pin fins have on the average Nu and the average number of pressure loss coefficient Eu.The circle-shaped and elliptic-shaped pin fins have different circumcolumnar regional,therefore the mixed conditions are effected.

数值计算中采用标准双方程湍流模型，速度压力耦合算法；根据数值模拟的结果分析沿扰流元的局部换热系数分布变化，研究其扰流柱高度及形状对扰流柱通道平均努赛尔特数Nu和平均压力损失系数Eu的影响，圆形和椭圆形扰流柱的绕流尾涡影响的区域的不同对扰流柱群内流体混合状况的影响。

By the proposed method, the exact calculation of the 3-D complexly structured waveguide EM fields is realized.

该方法克服了目前的有关数值分析方法在处理三维复杂结构波导边值问题所遇到的主要困难，实现了三维复杂结构波导边值问题的精确而有效的数值计算。

Retroreflector array is used as pseudo phase conjugator in the system. The fidelity of the conjugate wave and matching problem of the retroreflector array and Hartmann-Shack wavefront sensor is discussed. Several data fusion methods are presented in order to having two Hartmann-Shack wavefront sensors control one set of wavefront corrector. The misalignment errors of Hartmann-Shack wavefront sensor and arrangement errors of wavefront sensor and deformable mirror are analyzed. At the same time, numerical work based on the data of practically system, such as 61 element AO system, are done corresponding to the problem respectively and the results are given.The system of CP/CM AO is setup to fulfill all the functions.

针对不同的应用环境，提出了四种CP／CM衍生光路；进行了关键器件——角反射器阵列的保真度分析，给出了角反射器阵列作为伪相位共轭器件，与哈特曼—夏克波前传感器的匹配条件，认为角反射器阵列的布局要与哈特曼波前传感器的微透镜阵列布局完全对应，才能达到最优探测效果；提出了四种双哈特曼传感器控制一套波前校正器的数据融合方式，并逐一进行了分析，认为加修正因子斜率融合和电压融合方式在目前工程中是适用的，并进行了相应的数值模拟；给出了哈特曼传感器自身的调整误差分析过程，得到了误差可通过常规标定消除的判断依据；通过数值计算，得到了常规自适应光学系统和CP／CM系统哈特曼传感器和变形镜的对准误差对系统性能的影响，给出了两种系统对于不同对准误差情况下校正效果的变化情况和相应系统容限；以37单元自适应光学系统为基础，搭建了CP／CM自适应光学系统光路，并完成了系列CP／CM功能实现实验，运用双哈特曼传感器数据融合，成功实现了CP／CM自适应光学系统的闭环实验。

Retroreflector array is used as pseudo phase conjugator in the system. The fidelity of the conjugate wave and matching problem of the retroreflector array and Hartmann-Shack wavefront sensor is discussed. Several data fusion methods are presented in order to having two Hartmann-Shack wavefront sensors control one set of wavefront corrector. The misalignment errors of Hartmann-Shack wavefront sensor and arrangement errors of wavefront sensor and deformable mirror are analyzed. At the same time, numerical work based on the data of practically system, such as 61 element AO system, are done corresponding to the problem respectively and the results are given. The system of CP/CM AO is setup to fulfill all the functions. Through the data fusion of two Hartmann-Shack wavefront sensors, the system runs successfully and realizes the close loop. It lays a good foundation for the application of CP/CM AO. Another aspect of this paper is to expand the working band of Hartmann-Shack wavefront sensor through Frequency Transfer of Nonlinear Optics.

针对不同的应用环境，提出了四种CP／CM衍生光路；进行了关键器件——角反射器阵列的保真度分析，给出了角反射器阵列作为伪相位共轭器件，与哈特曼—夏克波前传感器的匹配条件，认为角反射器阵列的布局要与哈特曼波前传感器的微透镜阵列布局完全对应，才能达到最优探测效果；提出了四种双哈特曼传感器控制一套波前校正器的数据融合方式，并逐一进行了分析，认为加修正因子斜率融合和电压融合方式在目前工程中是适用的，并进行了相应的数值模拟；给出了哈特曼传感器自身的调整误差分析过程，得到了误差可通过常规标定消除的判断依据；通过数值计算，得到了常规自适应光学系统和CP／CM系统哈特曼传感器和变形镜的对准误差对系统性能的影响，给出了两种系统对于不同对准误差情况下校正效果的变化情况和相应系统容限；以37单元自适应光学系统为基础，搭建了CP／CM自适应光学系统光路，并完成了系列CP／CM功能实现实验，运用双哈特曼传感器数据融合，成功实现了CP／CM自适应光学系统的闭环实验。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。