数值方程

By a large scale of actual cases and theoretical analysis, it shows that the arithmetic in this article has a very stable convergence and very fast convergent speed, at the same time, gives accurate calculated value.

对于求解这个非线性方程，提出了一个数值迭代算法，并对该算法的收敛性进行了证明，给出了最大迭代步数的上限值。

In this paper,it is suggested that the stable solution of Grüner′s equation is periodical.

通过理论分析和数值计算，给出Grüner方程的稳定解dφ/dt是一个与sinφ有相同周期的函数的见解。

In this thesis, study is on the basis of N-S equation and standard turbulent flow mould. Numerical simulation is given to turbulent flow inside impeller of LB50-160 type centrifugal pump.

本文基于N-S方程和标准k-ε紊流模型，对LB50-160型离心泵设计流量下叶轮内流场三维紊流进行了数值计算，获得了叶轮内流场的速度、压力分布，捕捉到了一些重要的流动现象。

As the main part of this thesis, based on RSJ model, a symmetric DC SQUID is theoretically studied through two-dimensional Fokker-Planck equations, by using the "potential condition" in the case of steady state, the stationary probability distribution function of this system is obtained firstly in the accurate theory, meanwhile, the expressions of all the SQUID characteristics functions are obtained, for example, the circulating current, total normalized voltage and transfer function.

作为本论文的主体工作，我们以RSJ模型为基础，利用二维Fokker—Planck方程从理论上研究了对称型双结超导量子干涉器件，利用定态条件下的"势条件"得到了系统定态概率分布的精确解析表达式，进而得到了该系统所有特性函数如环路电流、总电压、调制函数的统计表达式，利用数值计算讨论了各种参数对DC SoL71D系统特性的影响。

Both motor car and each trailer of HST were modeled as a multi-rigid-body system with two suspensions, and LVT was modeled as an assembly of track segment elements with 24 degrees of freedom. The vertical vibration matrix equation of the system was established on the basis of the principle of the total potential energy with stationary value in elastic system dynamics and the rule of "set-in-right-position" for formulating system matrixes, and then Wilson-θ numerical integration method was used to solve the problem. The dynamic responses of the system were calculated when the train runs at the speed of 200 km/h. And the effects of vertical stiffness of rail fastener and block pad on vertical vibration responses of the system were investigated.

其原理是：将高速列车的动车和拖车模拟为具有二系悬挂的多刚体系统；将弹性支承块式无碴轨道模拟为具有24个自由度的轨段单元的集合；基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立此系统竖向振动矩阵方程，并采用Wilson-θ数值积分法求解，计算速度为200 km/h时此系统竖向动力响应，研究轨道刚度对此系统竖向振动响应的影响规律。

Using two-dimensional numerical simulation of the full hydrodynamic equations, the dynamics of the counterpropagating wave, localized traveling wave and stationary overturning convection with the weakly Soret coefficient is studied.

本文通过二维流体力学基本方程的数值摸拟，讨论了具有较弱的Soret结合的中等长高比空腔中的Counterpropagatingwave，局部行进波及定常行进波的动力特性，探讨了局部行进波的Rayleigh数依赖性及稳定性。

The latency and amplitude of P1 wave were recorded while the threshold stimulus was given.

阈刺激时PRVEP P1波潜伏期与视敏度的对数值存在较好相关性，回归方程如下：Y=-1.485＋0.008X（r=0.621，P〈0.01）。

Firstly, we collected and sorted out the GPS data, established the uniform velocity field for the Chinese mainland and the surrounding regions, and the horizontal deformation field relative to the Eurasia plate; Secondly, we established a motion model for the entire rotation and homogeneous strain of the first and second level blocks in Chinese mainland, analyzed the motion pattern and strain behavior of active blocks in Chinese mainland, as well as the motion pattern of principal fault zones in Chinese mainland; Thirdly, considering the heterogeneity of strain distribution inside a block and supposing that the strain tensor inside the block is the linear function of location, we derived and established an equation for the entire rotation and linear strain of block and a motion model for the entire rotation and linear strain of principal blocks in Chinese mainland; We also calculated the principal strain field and the maximum shear strain field in Chinese mainland and the surrounding regions, analyzed the basic characteristics of strain field in Chinese mainland, as well as the relationship between the spatial distribution of strain field and large tectonic zones; Finally, we established the 2-D geotectonic model and digital model for Chinese mainland and the surrounding regions, calculated the stress field in Chinese mainland and the surrounding regions, and analyzed the basic features of stress field in Chinese mainland and the principal driving force for the motion and deformation in Chinese mainland.

收集整理了已有GPS资料，建立了中国大陆及周边地区统一的速度场以及相对欧亚板块的水平形变场；建立了中国大陆一、二级地块整体旋转与均匀应变的运动模型；分析了中国大陆活动地块的运动状态，应变状态，以及中国大陆主要断裂带的运动状态；考虑到一个块体内部应变张量空间分布的非均匀性，假设块体内部的应变张量是位置的线性函数，推导建立了块体整体旋转与线性应变方程，建立了中国大陆主要地块整体旋转与线性应变的运动模型；计算了中国大陆及周边地区的主应变场与最大剪应变场，分析了中国大陆应变场的基本特征，以及应变场的空间分布与大型构造带的关系；建立了中国大陆及周边地区二维的地质构造模型和数值模型，计算了中国大陆及周边地区的应力场，分析了中国大陆应力场的基本特征以及中国大陆运动、形变的主要驱动力。

The simulative model of temperature field and stress field in concrete , Heat and moisture coupling、Parallel simulative calculation of concrete with water pipe cooling、 Parallel feedback analysis of thermal characteristic parameters, and stress intensity factor of induced joint, which are the sixty-four-dollar questions, are studied in this dissertation. The main contents of this dissertation are as follows:(1)Based on the past and current research work, the calculation theory of the transient temperature field and creep stress field of mass concrete which self temperature influence is considered is deduced. The couple effect between the temperature field and humidity field of concrete, is considered on the basis of conservation law of water and energy, and the coupled formulation which coefficient is not constant of the heat and moisture in concrete is deduced. The calculation theory and model which is theoretically strict for solution to thermal problem in concrete with water-cooling pipes are recommended.

本文主要针对混凝土的温度场应力场仿真计算模型、热湿耦合、水管冷却问题的并行仿真、混凝土温度参数并行反演分析以及诱导缝应力强度因子计算等混凝土大坝温度应力数值仿真的关键技术进行了较为深入的研究，全文主要内容如下：(1)在现有研究基础上，推导了考虑自身温度影响的混凝土非稳定温度场和徐变应力场的计算理论；基于水分质量守恒和能量守恒原理考虑混凝土温度场和湿度场的耦合作用，推导了混凝土的变系数热湿耦合方程，并建立了相应的计算模型；引用严密的水管冷却混凝土温度场的计算理论和计算模型，比较了两种简化计算方法用于水管冷却混凝土仿真计算的不足。

The model structure and governing equations of a rigorous complex physics-based hydrologic-response/erosion model, Integrated Hydrology Model, are introduced.

介绍了一个复杂的严格基于物理概念的水文／侵蚀数值模型InHM的模型结构和控制方程。

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。