数值分析

In the process of discretization, the uniform grid is shifted half mesh away from the poles by using the symmetry constrain property of Fourier coefficient on the sphere.

上述分析可推广至三子域情形，同样也得到了算法的有限步终止性。本文通过数值实验对区域分解算法进行数值分析。

The validity of the numerical model and analysis method for roof MRD isolation system were verified by the comparisons between the results of the shaking table tests and numerical analysis.

最后进行了数值分析，并与试验结果进行了比较，验证了屋盖MRD隔震－升船机结构系统力学模型与数值分析方法的正确性。

But using object oriented programming to study Finite Element is a new method to design and construct Finite Element.

本文从计算机科学的角度出发，将电磁场数值分析方法与软件科学相结合，研究了面向对象有限元方法的原理，设计了电磁场数值分析可视化软件系统。

Based on the science idea of coupling, this paper studied systematically the theory, mathematical model and technology of rock mass hydraulics in coal mining above aquifer, the numerical simulation method, the resemble simulation theory and method. A series of reciprocity law on the stress and displacement of upper and down floor of coal layer, coal pole, fault and the law of water pressure variety was analyzed thoroughly and particularly. Based on the relation of hydraulics character of multi-aquifer, the inspecting and predicting theory model, method and system of water outburst was founded. By used in the colliery, The results were ratified by colliery missionary. In situ test for the hydraulics character of the floor on hydrology observation hole was done.

本文基于固流耦合作用的学术思想，通过理论研究、相似模拟实验、数值分析及现场实际应用，系统研究了带压开采的块裂介质岩体水力学数学模型，数值模拟方法，相似模拟理论与方法，深入细致地分析了带压开采中项底板、煤柱、断层的应力位移分布、含水层水位变化等一系列相互作用规律，并建立了基于多含水层水力联系的底板突水监测预报理论模型及其监测预报方法与系统，并将研究成果应用于现场实际，得到了现场工作人员的一致认可。

The principles and methods of present tangent method and secant method are also described in the paper.

全压力史拟合方法的理论模型是：地层均质、等厚、无限大，充满弱可压缩流体，考虑井筒中存在表皮效应和井筒存储的影响 3、通过使用有限元法对脉冲试井过程进行了数值分析计算，得到了脉冲试井的不同条件下的理论曲线，提出了脉冲试井数值分析方法。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

Compared with the result of the soild model, it is found that the two results have great coherence. So it is feasible to take the shell model for numerical analysis of trussed combination arch bridge.

论文最后建立了清水大桥板壳有限元模型并利用该模型对该桥的恒载作用工况进行了数值分析，通过与实体模型的结果对比发现，两种模型的计算结果具有比较好的一致性，因此可以利用板壳模型对预应力桁式组合拱桥进行快速、准确的数值分析。

Then, we combine the analysis of the scale-effects with the simplification of the NavierStokes equations, and study numerically the feasibility and efficiency of the generalized diffusion parabolized Navier-Stokes equations and the large-small scale equations applying to the high Reynolds number flows (GNS for laminar flow and LSS for turbulent flow).

首先从数值方法上构造了一些高精度差分格式，然后将尺度效应的分析与流体力学基本方程组的简化近似相结合，通过数值分析和计算研究了广义扩散抛物化NS方程组和流体运动大小尺度方程组用于高Re数流动的可行性和有效性。

This method can be used in all kinds of metal junctions.

论文详细地讨论了数值分析过程，并给出样例的数值结果。此种方法具有很大的通用性，可以用于各类金属结点的分析。

Finally, the numerical simulation approach of tool wear was studid on the basis of numerical simulation of SPIF, and the process parameters on the impact of the tool wear were researched.

最后，在渐进成形数值分析的基础上，探讨了对工具头磨损进行数值模拟分析的方法和流程，并通过仿真，研究了工艺参数对工具磨损的影响关系。

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。