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The unique advantage of this halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle. Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily, with the computing efficiency improved.

这种保角变换的半解析数值方法的突出优点是:利用前期的保角变换解析处理将不规则的场域转化为规则的矩形域,从而避免了纯数值技术对复杂边界的离散化误差,降低了后期数值计算的算法复杂度,并提高了计算效率。

Considering complicated conditions of the coastal dynamic environment, sediment dynamics, and together with the immature sediment itself, the predicted results will be somewhat limited if only with numerical model. So, in order to obtain microcosmic quantitative assessment and macroscopically understanding, numerical model is combined with field observations in the thesis. Firstly, the tidal current, SSC distribution, benthal deposited materials were basically analyzed by field observations. Then, the tidal current, SSC distribution, and the erosion and accumulation of the seabed were simulated with the numerical model of ECOMSED.

但由于海岸动力环境多变,泥沙运动复杂,加之泥沙问题本身的复杂性,如仅用数学模型,其预测结果将受到一定的限制,故本文采用实测调查与数学模型计算相结合的方法,宏观把握,微观量化,在掌握岚山港西突堤工程所在海域潮流、悬沙量分布、表层底质沉积物类型及特点基本态势的基础上,紧扣开发工程可能引起潮流场变化,分析工程后悬沙量、海底冲淤变化及其空间分布,进而建立潮流作用下的泥沙输运数学模型,首先比较好地模拟目前岚山港西突堤工程附近海域的潮流场和悬沙场,然后预测海湾沿岸可能引起的冲淤强度变化和冲淤区域的空间分布。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述,基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合,导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性,将结构各物理参数和温度的初、边值条件均视为区间变量。

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。

In addition, depending on the method of numerical simulation and theoretical analyses, some kinematic and geometric features of 0° involute—enveloping worm gear drive, such as meshing surface, first—type limit, second —type limit, worm surface, the numerical representation of contact line and bearing contact, are systematically studied. These relevant conclusions provide an important basis for the design and manufacture of new type worm gear set. As we predict, the method of numerical simulation has special effect in solving the question of complex conjugate surface.

综合利用仿真方法与解析手段,对0°渐开线包络蜗杆传动的啮合面、一类界限、蜗杆齿面构成、仿真接触线及仿真接触域等运动几何学特性进行了系统研究,有关结论为此种新型蜗杆副的设计与加工提供了重要基础,并且显示出数字仿真方法在研究复杂共轭曲面问题时所具有的特殊功效。

A simulation-based numerical analysis method of EDD scheme, which is proposed in this thesis, can solve this problem successfully. The consistence between numerical analysis and simulation result strongly proves that the proposed numerical analysis method is correct.

本文提出了一种"基于计算机仿真的各优先级业务信元时延分布"数值分析方法,与计算机仿真结果的基本吻合证明了此方法的正确性。

Numerical control technology to go on technology that control with digital information to mechanical movement and working course, numerical control equipment whether represented by technology of numerical control new technology make industry and new developing infiltration electromechanics integrated product that form of manufacturing industry to tradition, i.e.

数控技术是用数字信息对机械运动和工作过程进行控制的技术,数控装备是以数控技术为代表的新技术对传统制造产业和新兴制造业的渗透形成的机电一体化产品,即所谓的数字化装备,其技术范围覆盖很多领域:(1)机械制造技术;(2)信息处理、加工、传输技术;(3)自动控制技术;(4)伺服驱动技术;(5)传感器技术;(6)软件技术等。

Finally, to understand and reproduce the results of numerical simulations, we propose a phenomenological noise driven equations describing evolutions of macroscopic variables under the assumption of local energy equipartition and the fluctuation-dissipation theorem. The numerical results of the stochastic equations and those of numerical results from the original Hamiltonian dynamics coincide with each other very well.

最后,为了理解和重现数值模拟的结果,我们通过局域能量均分假设和涨落耗散定理,建立了一个由噪声驱动的宏观变量演化的唯象动力学方程。

With the investigation of the domestic and foreign literature systematically, the bases on the domestic and foreign present research and the comprehensive utilizations of the various knowledge of fluid mechanics in porous medium, reservoir engineering, mathematical physics, perforation completion, numerical simulation and so on, this article takes numerical simulation of gas reservoir of water solubility as the research aim which has completed following research works and obtained the corresponding research results: it analyzes the nature of the Water-soluble gas and formation water as well as the influent factors of the solubility through the study of massive materials; It establishes mathematical models three-dimension, the dual medium, the gas-water phase through the way of finite difference in the migration of water-soluble gas, which describes the entire process of release, migration and production in formation, where it considered the problems of variable bubble point; According to the numerical models of gas reservoir of water solubility it provides solution procedure that based on black oil model; It discovers that there will obtain the good effects in the lowly speed of development through simulation; the reinjection of formation water may largely enhance the produce degree of water-soluble gas when we consider reinjection in simulator; It considered the influence of perforated completion on development so as to increase the simulator"s versatility, It discovers that the simulator may reflect the conditions of development when we exanimate he simulator"s reliability with the empirical datum.

本文以水溶性气藏数值模拟研究为研究目标,在系统调研国内外文献、深入分析国内外研究现状的基础上,综合利用渗流力学、油气藏工程、数学物理方法、射孔完井以及数值模拟理论等多方面的知识,完成了以下研究工作并取得相应的研究成果;①通过对大量的资料调研,分析了水溶气、地层水性质、储层地质性质以及影响气体在水中溶解度的因素。②考虑到由于高压产生的大量水力裂缝,采用有限差分方法建立水溶气运移的三维、双重介质、气-水两相全隐式数学模型,该模型描述了水溶气在地层中的释放、运移和采出的整个过程。③在原有黑油模型的基础上,根据水溶性气藏数值模型编制了该数值模型的求解程序,该程序可以求解单重、双重介质两种情况。④通过模拟不同开采速度对水溶气开发效果的影响,发现开采速度较慢的时候可以取得较好的开采效果。⑤在模拟器中考虑了注水对水溶性气藏开发的影响,地层水回注可以大幅度提高水溶气的采出程度。⑥为增加模拟器的通用性,在模拟器中考虑了射孔完井方式对开采的影响。⑦检验模拟器计算的可靠性,发现在使用实验数据对水溶性气藏进行模拟时,模拟器可以很好的反映气藏开发的状态。

The main contents of this course include: introduction, extraction of root from an equation, numerical solution of a system of linear equations, interpolation method, the method of fitting of a curve, numerical integration and differentiation, numerical solution of a differential equation, one-dimensional search method of extreme value problem, etc.

本课程包括以下内容:绪论、方程求根、线性方程组数值解法、插值法、曲线拟合法、数值积分与数值微分、微分方程数值解法、极值问题的一维搜索法。

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