n. 数值模拟
Nonce, the system of diagenetic numerical modeling for the stratum under the conditions of normal pressure has been set up .
目前，对于静水压力条件下的地层成岩作用数值模拟，已经形成了比较完善的体系。
The finite difference methods based on acoustic or elastic wave equation are very useful tools for wave-field numerical modeling or VSP data synthesizing.
基于声波或弹性波方程的有限差分方法是数值模拟地震波场或合成VSP地震记录的有力工具。
The matching relation between the viscosity and the mesh size was obtained using planar approximate method and integral method in the numerical modeling of divergent detonation.
分别应用平面近似法和积分方法推导出在散心爆轰的数值模拟中，人为粘性系数和空间步长之间的匹配关系。
By numerical modeling analysis, the effect of different reinforcement measures to improve the stability of dam abutment of thin rock mountain is stu***d in the paper.
通过数值模拟研究，分析了不同工程加固措施对改善单薄山体拱坝坝肩岩体稳定性的效果。
Emphasis in the numerical modeling is put on the problem of shot and receiving ways.
数值模拟中，重点探讨了激发和接收的方式问题。
This paper firstly introduces the functions of seismic numerical modeling technology, then discuses the development status of the technology, and finally outlooks its development trends.
首先介绍了数值模拟技术的作用，其次介绍了发展现状，最后展望了未来几年该技术的发展趋势。
The research results of two-phase turbulence flow and numerical modeling have greatly promoted electrostatic atomization research.
两相湍流理论及数值模拟的研究成果，对静电雾化理论起到很大的推动作用。
The mechanical behavior of a non-planar beam-wall joint, equivalent frame model as well as the numerical modeling will be stu***d in this project.
随着高层建筑的发展，梁-墙平面外节点的受力性能成为新的研究热点，但至今还没有一个统一的结论。
An advanced and practical achievement on property design while ensuring the uniform deformation of the heat-treated parts was obtained by means of numerical modeling method.
在既保证热处理零部件变形均匀性又实现性能设计的数值模拟方面取得了处于国际领先的成果。
The results of several simulations were presented to demonstrate the importance of these issues on the numerical modeling of unsaturated seepage.
通过多个计算实例的比较分析，充分明确了这几个基本问题对非饱和渗流数值模拟所带来的重要影响。
The numerical modeling and analysis of static and dynamic strength and characteristics of the low floor city bus body structure are carried out in the paper, using a standard CAE software.
利用标准的CAE软件平台，对低地板城市客车车身结构进行数值建模和静动态特性分析。
Finally, this 3D dynamic response back analysis method can provides the dynamic coefficients of rock mass which can be used in the next numerical modeling for this slope.
最后，此3D动态响应反分析方法可以提供动态岩体系数，这可以用在这个斜率的下一个数值建模。
Numerical modeling is also a challenge because the MEMS components operate in a variety of flow regimes covering the continuum, slip, and transition regimes.
由于MEMS部件运行的流动区域跨越了连续，滑移和过渡区域，所以对于数值模拟也是一个挑战。
An efficient method has been presented which is named secondary field finite element method for two-dimentional magnetotelluric numerical modeling.
通过计算二次场来进行二维大地电磁数值模拟；
A conceptual framework of mine complex fields is proposed from the perspective of numerical modeling and visual simulation for geological and mining engineering systems.
从矿山工程数字化及可视化的角度，提出了矿山复合场的概念及其内涵。
The practicability and good effect of the method have been proved by the numerical modeling and real cases.
数值模型试验和实际工程应用结果表明该方法具有很好应用效果。
With the development of numerical technique and computer technology, the numerical modeling of the solidification process is changing from macro to micro modeling.
为研究计算机硬盘的信号和噪音 ，建立了硬盘系统读写过程的微磁模拟模型。
These subjects were investigated by using wind tunnel and grain-size distribution experiments, numerical modeling and kinetic theory.
首先，对风洞实验中输沙量垂向和水平分布的集沙沙样进行了粒度分析实验。
In addition, the numerical modeling of the propagation is made constant for the Ti: LiNbO_3 with the Marcatili's approximation and the first-order perturbation.
用一级微扰法计算了折射率渐变分布的钛扩散铌酸锂矩形波导的传播常数。
A numerical method for modeling fin-line septum, is presented.
本文介绍一种确定鳍线膜片等效电路参数的数值方法。
By solving the diffusion equation using the lattice gas automata (LGA), we develop a numerical technique for the modeling of flu.
利用格子气自动机方法计算该扩散方程，实现了对双重孔隙介质中流体运移过程的数值仿真模拟。
In this project, gas-liquid-solid slurry reactor was stu***d by experimental measurement, theoretical modeling and numerical simulation.
本项目采用实验测量、理论建模和数值模拟相结合的方法对浆态床反应器进行研究。
n.|numerical simulation;数值模拟
数值建模（Numerical Modeling）是指通过数学方程和计算机技术模拟真实世界物理现象或工程问题的研究方法。其核心是将连续的自然规律转化为离散的数值形式，借助算法迭代计算得出近似解。例如，工程师用有限元法模拟桥梁受力，或气候学家用格点模型预测全球变暖趋势。
该方法包含三个核心要素：
数值建模广泛应用于：
其优势在于可低成本模拟危险或宏观尺度的现象，但需注意网格划分精度、边界条件设定等误差来源。美国机械工程师协会（ASME）发布的V&V40标准为验证流程提供了权威框架。
“numerical modeling”（数值建模）是指利用数学方法和计算机技术，对现实世界的物理现象、工程系统或自然过程进行模拟和分析的技术。其核心是通过数值计算（而非解析解）来近似求解复杂的数学方程，从而预测系统行为或验证理论假设。
基本概念
数值建模将连续的自然现象（如流体流动、热传导、结构应力等）转化为离散的数学方程，通过迭代计算得到近似解。例如，用有限差分法将微分方程转化为差分方程，再通过计算机求解。
应用领域
常见方法
优势与局限
原始偏微分方程：
$$
frac{partial T}{partial t} = alpha
abla T
$$
离散化后（显式差分格式）：
$$
T_i^{n+1} = Ti^n + alpha frac{Delta t}{(Delta x)} (T{i+1}^n - 2Ti^n + T{i-1}^n)
$$
数值建模是现代科学和工程中不可或缺的工具，其精度取决于模型假设、网格划分和边界条件设置。实际应用中常需结合实验数据验证，以提高可靠性。
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