数值分析

Founds three-dimensional analytic model and analyses heat transfer with phase change with the help of numerical simulation software using Euler backward difference.

通过实验分析了冰水两相流在垂直和水平管道流动时的压降特性；建立了冰融解的三维分析模型，采用欧拉向后差分法，利用ANSYS数值模拟软件对冰水相变传热进行了数值模拟分析，得出冰粒大小与融解时间两者的关系曲线。

Meanwhile, it could be seen that there does not exist a confidence interval with width less than 0.5 because of the property of Poisson distribution. Based on these conditions, the author mainly carried out research into two aspects of this problem as follows. Firstly, by numerical and theoretical analysis, the author compares some existent confidence intervals, for example,"exact" confidence interval, Wald confidence interval and Bayesian confidence interval, and finds some deficiencies points of the confidence intervals, whose modification version has been proposed .Also, several better confidence intervals such asare also presented .Secondly, for given confidence coefficient and interval width, the author constructs a class of asymptotical two-stage interval estimate procedures. At the same time, under varies restriction of confidence coefflcientent interval width, the optional sample size of the first stage has been computed by numerical computation. The numerical computation shows that the method considered in this dissertation have good properties and applied value.

同时，由于Poisson分布的特性，我们知道不存在其参数区间长度小于0.5的置信区间，基于这些情况，我们主要展开了以下两个方面的研究：一是利用数值计算分析与理论分析的方法对现有的若干置信区间如"精确"置信区间，Wald置信区间，Bayes置信区间等进行分析比较，发现了一些缺陷，针对这些缺陷，我们进行适当的修正，并得到几种性质较好的置信区间如：修正大样本区间Jeffreys原则下置信区间二是针对已给定的置信系数与区间长度，我们提出了一种渐近的两阶段区间估计程序，并利用数值计算的方法，在各种置信系数与区间长度限定下，算出了最优的第一阶段观测次数，大量数据表明，本文考虑的方法性态良好，具有应用价值。

This paper studies the main geometrical parameter such as angle, height, width, stagger and the upper width in dentation and trapezoid flow path, firstly, uses the single-phase numerical simulation of the computational fluid dynamics technique to analyse the influence of different geometrical parameter on discharge coefficient and flow state exponent of drip emitter. Secondly, uses the two-phases numerical simulation of CFD (1% sand content ) to analyse the influence of the above mentioned geometrical parameter on the contribution regulation of sand and anti-clogging performance. Thirdly, uses the PIV （ particle Tracking Velocimetry ） technique which can see the small-scale flow path to observe and test the trajectories and velocities of solid particles in labyrinth flow path, and analyses the basic factors which can influence the movement characteristic of solid particles and the flow state in flow path.

本文以齿形流道、梯形流道为主要研究对象，以流道转角、流道高，流道宽、偏差量及梯形流道上底宽为主要结构参数，首先应用 CFD 单相流数值模拟技术对不同结构参数灌水器流道水力性能进行模拟，分析了不同结构参数对流态指数和流量系数的影响，其次，应用 CFD 两相流（含沙量为1%）数值模拟技术分析了结构参数对含沙量分布规律和抗堵塞性能的影响，然后，应用 PIV 可视化测试方法测试了固体颗粒在流道内运行轨迹及速度，分析了影响固体颗粒运动特性及流道内流体流态的基本因素，最后，对上述流道结构形式通过模具加工及滴灌带试制，进行了标准化测试（ GB/T 17187-1997 农业灌溉设备滴头技术规范和试验方法与 ISO 标准 ISO /TC23 /SC18 /WG5N4短周期堵塞测试程序），测试结果验证了 CFD 模拟结果，并提出了迷宫结构流道灌水器的抗堵塞设计方法。

The following are the major work in this thesis which has been studied and still needs to be studied further in the future: 1 An improved adjoint variational method is developed, thus it can be applied to the LAGFD-WAM Wave Numerical Model for data assimilation; 2 A linear evolution equation of spectral perturbation is derived in order to analyze its increasing or decreasing mechanism.

本论文主要完成了以下几个方面的研究： 1）建立了推广形式的共轭变分同化方法，使之能够应用于LAGFD-WAM海浪数值模式； 2）导出了扰动谱线性演化方程，分析了扰动谱增长、衰减机制，考察了涌浪情况下扰动谱的持续时效问题及风浪情况下扰动的演变过程； 3）利用波谱共轭方程初步分析了同化模型中距离泛函的敏感性及敏感区域空间分布； 4）将推广的共轭变分方法应用于海浪谱能量平衡方程，建立了连续形式的海浪同化模型，特别是严格导出了风输入、破碎、底摩擦、波波非线性相互作用和波流相互作用各源函数的共轭源函数表示式； 5）分别进行了波谱层次上和有效波高层次上的同化试验，并对数值结果进行了分析。

Estimations of effective parameter in heterogeneous media: Firstly, we clarify the concept of the effective parameter and address the problems of parameter estimation by traditional pumping test. Secondly, we present two estimation approaches (i.e., distance-drawdown and spatial moment analyses) for Seff and Teff, which are consistent with Theis' homogeneous aquifer assumption.

本文探讨的内容主要分两大部分：(1)空间异质性孔隙介质有效参数的推估方法：主要探讨内容包括重新思考有效参数的定义及其观念，探讨传统抽水试验推估异质性含水层有效参数的一些问题，其次提出估计异质性地下水系统有效参数两个合理方法：泄降-距离曲线分析和泄降分布的空间矩分析，并以数值实例解释其合理性，文中藉由分析数值模拟的结果探讨说明该问题。

Large numbers of test data which is systemic, credible, exact and detailed was acquired during the processing of these two scientific research item and settlement value and theoretical analysis on trial section was done together with the test and research on the site. The connection between the rule of settlement in the transition zone and the parameter such as groundsill, transmogrification modulus, material and density was studied based on comparing true settlement value in trial section with settlement value of theoretical calculation by frame analysis software. And it will help the farther research on design and construction about road-bridge transition zone.

同时在两个科研项目开展过程中，取得了大量系统、详实、可靠的试验数据，并结合现场试验研究工作，在室内开展了深入细致的过渡段沉降变形数值计算和理论分析研究，运用有限元分析软件，对过渡段的沉降变形进行了仿真数值模拟计算，与现场实测数据进行了对比分析，全面考察了过渡段地基土层与变形模量、路堤填料与压实密度等参数对过渡段沉降变形的影响规律，为进一步研究路桥过渡段的设计和施工可以提供借鉴。

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。

In coal gasification techniques, the gasifier is the key equipment which directly affects gasification characteristics, therefore flameless oxidant technology was applied to the design of new gasifier for high ash melting coal, and gasification characteristics in the gasifier were carried out by not only experiments under cold state and therma1 state, but also numerical simulations in this paper.

由于气化炉是煤气化技术中的最关键设备，因此，本文以高灰熔点煤的高效气化为背景，归纳分析了各种先进干煤粉气流床气化炉的炉型结构，将无焰氧化技术应用于粉煤气化，提出了一种基于无焰氧化的新型干法进料煤粉气化炉，进行了炉内冷态、煤粉气化的热态试验和数值计算，分析了高灰熔点煤在该气化炉中的气化特性，并以此为基础，对气化炉的结构进行了优化，提出了无焰氧化分级气化炉，对高灰熔点煤在该气化炉中气化特性进行了数值计算与分析。

The results of our numerical simulation show that the numerical method applied in our paper is practical, the calculation results match the actual situation properly; the digital images from numerical simulation possess a positive significance in understanding and improving the heat flow distribution of the meat dry kiln. The proposed method provides a feasible approach to analyze and improve the flow field of meat dry kiln with numerical simulation.

数值计算的结果表明：本文所用的数值计算方法是可行的，基本符合实际情况；所得计算结果分析图像对了解干燥窑中流场的分布情况和如何改善干燥窑流场分布具有积极的参考意义，本文所提出的方法为采用数值计算方法分析改善干燥窑流场问题提供了一种可行的手段。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。