数值方程

Analysis of tube-in-tube structure of variable cross-section in torsion;2. By assuming the structure to be continuous,the Hamiltonian dual system of coordination analysis is established for tube-in-tube structure s,in which the shears and flexures of the inter and the outer tubes are considered as Timoshenko beams.

在结构连续化假定的基础上，将内筒和外筒视为铁摩辛柯梁，同时考虑内筒和外筒的剪切与弯曲变形，建立了筒中筒结构协同分析的哈密顿对偶体系，导出了相应的状态空间方程，其系统矩阵具有辛矩阵的特性，可用精细积分法求该体系的高精度数值解。

Furthermore, using standard k-ε double equation turbulence model, it simulates the three-dimensional water movement of the circular and pier shaped cylinder measuring flumes, and makes researches on the discharge coefficient of the cylinder measuring flumes in the larger range.

用标准κ-ε双方程紊流模型，数值模拟圆柱形和桥墩形量水槽三维水流运动，在更大的范围内研究圆柱形和桥墩形量水槽流量系数的变化规律。

A neoclassical ion heat transport coefficient model is adopted, in which the effect of sheared poloidal rotation is taken into account, and the heat flux function has multiple values with the same plasma density and temperature.

采用考虑了剪切极向转动效应的新经典离子热输运系数模型，这种模型导致的热通量函数在相同的密度和温度下是多值的，将它用于电子与离子之间有碰撞的MHD方程，数值结果显示了H模情形等离子体上边缘陡峭的离子温度梯度。

In the first part, the SIMPLE algorithm is used to solve the MHD equations and the solutions of MHD equations are presented for the whole free-burning arc, excluding the electrodes. The SIMPLE algorithm has been revised in order to solve MHD equations, and the flow chart is showed.

第一部分：采用标准SIMPLE算法，并作了一些修正，给出了具体的计算步骤和流程图，将其应用于磁流体动力学方程进行数值求解。

Since the initial start of buried pipelines results in three-dimen-sional unstable heat transmission , and at initial start the temperature change of the soil around a pipeline is affected by the temperature inside the pipeline and the ground surface temperature annual fluctuation, the differential equation for heat transmission and the boundary value may be line...

埋地输油管道启输过程是三维非稳定传热问题，启输过程中管周土壤温度场的变化受管内热水温度和启输前地表面温度年波幅的影响，可将传热微分方程和边值条件线性组合成两个定解问题，用电子计算机进行数值求解，得出计算公式，以确定预热阶段管路任一点任一时刻的热水介质温度。

Based on anisotropic elastic wave equation staggering grid high-order finite-difference numerical simulation, the wave field response characteristics of vertical fracture medium with different densities and infillings were studied.

利用各向异性弹性波方程交错网格高阶有限差分数值模拟方法，开展了不同密度和不同充填物的垂直裂隙介质的波场响应特征研究。

The residual parts are surface integrations whose integrands are the products of the scalar Green's function and fields or their derivatives. The high order singularity of integrands in the integral equation is reduced to one order, making for program implementation.

剩下的部分是关於标量Green函数与场强值或与它们的一阶导数值乘积的面积分，这样积分方程的被积函数高阶奇异性被降到一阶，有利於计算机的程序实现。

From the fundamental equations of Solid mechanics, a new theory of inversing the tectonic stress field by Geodetic data is proposed, the methodology of inversion of geodetic data to linear elastic model by the finite element method is discussed.

从固体力学的基本方程出发，结合数值方法，提出用大地测量数据反演构造应力场理论，研究了由大地测量数据反演线弹性构造应力场的方法。

In the last part of this dissertation, the subsurface temperature and salinity equations are added to investigate the development of the inversion process. The effects of the temperature inversion on MLD and thermal structure of the upper ocean are also discussed.

本文最后加入次表层海水温度、盐度控制方程，通过相应的数值试验，讨论了次表层温度反升现象的产生和消亡过程，并对次表层温度反升现象对混合层深度和混合层内温度结构的影响进行了初步的探讨。

The relative leakage flow coefficient decreases with the increase of the rotational speed, and the leakage flow rate of the labyrinth seal at the high rotational speed of more than 6 000r/min decreases by 5.1%.

采用标准k-ε紊流模型和三维RANS方程求解方法，数值研究了密封间隙、压比、转速对典型迷宫密封泄漏特性的影响规律。

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。