数值计算

Numerical simulation is dominating part of CAT, also the core of this work.

数值计算是计算机辅助优化数值试验的重要环节之一，也是本文的侧重点。

The schemes presented in the present paper can be used for solving general problems, and their basic ideas can be directly used for treating elastic scattering problems as well as for establishing schemes for velocity and density inversion.

所建立的数值计算方案具有普遍的适用性，其基本思想可以直接用于解决弹性波散射的数值模拟问题并用于反演密度和速度。

Here, the theory and the deducing process of the SEM based on the Legendre polynomial is given. The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程，该方法可以形成全局对角质量矩阵，在时间域使用显式的差分算法，提高运算效率，最后通过横向各向同性介质的数值计算，模拟结果表明该方法是一种有效的数值模拟方法。

The SEM can get a global diagonal mass matrix, which leads to a very simple explicit time difference scheme and high efficiency. Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.

文中阐述了基于Legendre多项式的谱元法的理论和推导过程，该方法可以形成全局对角质量矩阵，在时间域使用显式的差分算法，提高运算效率，最后通过横向各向同性介质的数值计算，模拟结果表明该方法是一种有效的数值模拟方法。

By using unstructured dynamic grid based on local remeshing method, the variation of grid caused by projectile movement was analyzed. Numerical computation results of gun muzzle flow field which arranged in time was obtained. The creation process of the complex flow field of gun muzzle was described. The numerical simulation of flow field including moving projectile was achieved.

采用基于局部网格重构法的非结构动网格技术处理弹丸运动造成的网格变化，给出一系列按时间顺序排列的膛口流场数值计算结果，描述了复杂的膛口流场形成发展过程，实现了含运动弹丸的膛口流场的数值模拟。

Using numerical simulation technology and method of orthogonal experiment design and single factor rotating optimization, this thesis makes a study of "lost core injection ", thus achieve the optimization of the parameters of molding process, to offer basic reference when developing production technology and mould of the plastics intake manifold. Based on the study of the status in quo and development trend of weight reduction on automobile, the application of plastics to automobile and intake manifold, then under the guidance of theory model and numerical simulation technology in the process of high polymer material, this thesis launches flowing main research work: First of all, on the basis of the three-dimensional model of the part and finite element net model, several designs of gating and running system are numerically simulated and analyzed via MPA of Moldflow.

本文在对当今汽车轻量化、零部件塑料化以及的汽车进气歧管塑料化的发展现状和发展趋势进行了研究和简要介绍，然后在高分子材料成型过程中的理论模型和数值计算方法的指导下，展开主要的研究工作：首先，在零件三维模型和有限元网格模型的基础上，使用Moldflow 的MPA模块对塑料进气歧管的多个浇注系统设计方案进行数值模拟，通过分析各个方案的充填质量、熔接线位置及数量等指标，得到了综合质量较高的4 个进料口的浇口位置及半限制型浇口大小的浇注系统。

In this paper, we have been solved Fresnel integral equations by the numerical iterative method in virtual confocal unstable cavity with the strip mirrors of cylindrical surfaces.

用数值迭代方法求解了柱面条状虚共焦非稳腔的积分方程组。对相同及不同的菲涅耳数NF和不同的放大率m等情况进行了数值计算。

Due to the complication of the geometric shape and the non-uniform distribution of the mass and stiffness,it is impossible to obtain the exact solution of natural frequencies of low-finned tube s.

针对低翅片管几何形状复杂，质量和刚度分布不均匀，振动特征值不能有封闭解的问题，采用瑞利-里兹法对低翅片管的固有频率进行了数值研究，获得了低翅片管弯曲振动固有频率的数值计算模型。

Compared with traditional method by use of pure quantity, land suitability evaluation based on GIS may integrate the numeral calculation with graphical procession effectively, so as to raise the evaluation efficiency.

相对于传统的纯数值评价方法，基于GIS的土地适宜性评价方法将数值计算和图形处理有机地结合起来，具有简洁、直观、易操作和快速等特点。

The axially symmetric torsion of rigid circular shaft of varying diameter embedded in an elastic half space is studied by line-loaded integral equation method, where the problem is formulated by distributions of fictitions fundamental loads PRCHS (point ring couple in half space) along the axis of symmetry in interval of the shaft and is reduced to a one-dimensional and non-singular Fredholm integral equation of the first kind and is easily solved numerically.

弹性半空间；本文用线载荷积分方程法研究嵌在弹性半空间的刚性变直径圆轴的轴对称扭转。利用将"半空间的点环力偶"这一虚的基本载荷沿对称轴的圆轴区间中分布就能使本问题归结为一个一维的非奇异的Ferdholm第一种积分方程，且很易用数值求解。文中给出刚性圆锥，圆柱，圆锥柱嵌在弹性半空间的扭转的数值计算的例并和他人的已知结果相比较。

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。