查询词典 numerical method

This paper presents a matrix game method for calculating the process of dogfight between two fighters with numerical simulation .

本文介绍数值模拟计算两机空战格斗过程的一种矩阵博弈解法。

Numerical results show that the domain of attraction can also be obtained by SCM method. Different initial values were chosen to require the phase portraits.

本节首先用行波法将广义KdV方程转化为常微分方程组，并得到广义KdV方程的相图，然后用SCM方法得到广义KdV方程的全局吸引域和有限步吸引域。

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章，第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型；第2章讨论了系统的保持性和解的有界性；第3章研究正平衡点的全局性质，对正平衡点的吸引域进行了精确估计；第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件；第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式；第6章对一个具体模型进行了数值模拟；第7章对全文进行了总结。

And the double integral values which cannot be integrated are found by way of the method of numerical integral and the overlap principle.

地下开采煤层的分布形式多种多样，平面分布形式的煤层仅是曲面分布形式煤层的一种简单情况。

Initial boundary value problem of two dimensional unsteady diffusion equations is solved in this paper. By using time-dependent fundamental solution of two dimensional diffusion equations and the extension of double layer potential, we establish virtual boundary integral expression of diffusion equations. Then virtual boundary element method is used to implement the numerical computation.

本文在求解二维非定常扩散方程的初边值问题时，利用二维扩散方程与时间有关的基本解，基于双层位势的延拓，建立二维扩散方程的虚边界积分表达式，然后利用虚边界元法进行数值计算。

In this paper we will generally discuss the WEMVA method by Double Square Root for the convenience of mathematic expression, and demonstrate how it works in numerical model.

在叠前偏移算子中，因为双平方根算子的数学表达式更为简洁，所以本文基于对波动方程偏移速度分析初步讨论，并通过模型验证其原理。

Based on the theory of heat transfer, hydrodynamics and the theory of metal solidification, by using numerical analysis technology, database technology and visual technology, this paper provided a simulation and check method for the process design to simulate the fluent field and temperature field of the filling solidification and cooling, and can predict the casting quality according to these fields, thus, by this way, improved the quality of casting draft design.

该课题就是为工艺设计提供模拟和校核手段，以传热理论、流体力学及金属凝固理论等为基础，利用数值分析技术、数据库技术和可视化技术等对铸造过程进行仿真，从而模拟出在铸件充型、凝固和冷却中的流场和温度场，并根据这些物理场对铸件质量进行预报，从而提高铸件工艺设计的质量。

The obtained Green′s function is applied to numerical modeling of electromagnetic wave resistivity MWD instrument, and the influence of the drill collar, the borehole-correction method, the radial characteristics of investigation and the vertical resolution of the tool are analysed.

用上述Green函数对随钻电磁波电阻率测量仪器进行数值模拟，分析了钻铤的影响规律、井眼校正方法、仪器的径向探测特性和垂向分辨率。

Based on the theory of large eddy simulation and the method of VOF , the initial breakup process of fuel liquid jet, which eject from the nozzle exit at the time scale of micro-second level, is investigated. The mechanism of primary atomization is analyzed, and the initial breakup model of liquid jet is presented. By modeling and numerical simulation of atomization for a diesel nozzle under the given conditions, the initial umbrella-like spray shapes are obtained, which fits better with the experimental results. Meanwhile, the droplets secondary breakup process, such as leeward RT breakup, dumbbell-like breakup and droplets coalescence, etc. are exhibited visually.

基于大涡模拟LES理论和VOF方法，考察了燃油喷雾初始时刻即时间尺度为微秒级的液柱破碎过程，分析了初始破碎的机理，给出了该时间尺度下液柱初始破碎过程的模型；通过对一特定条件下的柴油机喷油器的建模和喷雾过程的大涡数值模拟，获得了液柱初始时刻"伞状头部"的喷雾形态，所得计算结果与相应的试验数据符合较好；数值模拟还直观地展现了液滴背风RT破碎、哑铃型破碎以及液滴的聚集融合等液滴的二次雾化过程。

Both theoretical analysis and numerical examples show that EEP method also works very well for these problems.

本部分工作为EEP法广泛应用于一般一维问题的有限元法的超收敛计算打下了良好的基础。

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。