n. 數值模拟
Nonce, the system of diagenetic numerical modeling for the stratum under the conditions of normal pressure has been set up .
目前，對于靜水壓力條件下的地層成岩作用數值模拟，已經形成了比較完善的體系。
The finite difference methods based on acoustic or elastic wave equation are very useful tools for wave-field numerical modeling or VSP data synthesizing.
基于聲波或彈性波方程的有限差分方法是數值模拟地震波場或合成VSP地震記錄的有力工具。
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.
分别應用平面近似法和積分方法推導出在散心爆轟的數值模拟中，人為粘性系數和空間步長之間的匹配關系。
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.
通過數值模拟研究，分析了不同工程加固措施對改善單薄山體拱壩壩肩岩體穩定性的效果。
Emphasis in the numerical modeling is put on the problem of shot and receiving ways.
數值模拟中，重點探讨了激發和接收的方式問題。
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.
首先介紹了數值模拟技術的作用，其次介紹了發展現狀，最後展望了未來幾年該技術的發展趨勢。
The research results of two-phase turbulence flow and numerical modeling have greatly promoted electrostatic atomization research.
兩相湍流理論及數值模拟的研究成果，對靜電霧化理論起到很大的推動作用。
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.
隨着高層建築的發展，梁-牆平面外節點的受力性能成為新的研究熱點，但至今還沒有一個統一的結論。
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.
在既保證熱處理零部件變形均勻性又實現性能設計的數值模拟方面取得了處于國際領先的成果。
The results of several simulations were presented to demonstrate the importance of these issues on the numerical modeling of unsaturated seepage.
通過多個計算實例的比較分析，充分明确了這幾個基本問題對非飽和滲流數值模拟所帶來的重要影響。
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.
利用标準的CAE軟件平台，對低地闆城市客車車身結構進行數值建模和靜動态特性分析。
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.
最後，此3D動态響應反分析方法可以提供動态岩體系數，這可以用在這個斜率的下一個數值建模。
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部件運行的流動區域跨越了連續，滑移和過渡區域，所以對于數值模拟也是一個挑戰。
An efficient method has been presented which is named secondary field finite element method for two-dimentional magnetotelluric numerical modeling.
通過計算二次場來進行二維大地電磁數值模拟；
A conceptual framework of mine complex fields is proposed from the perspective of numerical modeling and visual simulation for geological and mining engineering systems.
從礦山工程數字化及可視化的角度，提出了礦山複合場的概念及其内涵。
The practicability and good effect of the method have been proved by the numerical modeling and real cases.
數值模型試驗和實際工程應用結果表明該方法具有很好應用效果。
With the development of numerical technique and computer technology, the numerical modeling of the solidification process is changing from macro to micro modeling.
為研究計算機硬盤的信號和噪音 ，建立了硬盤系統讀寫過程的微磁模拟模型。
These subjects were investigated by using wind tunnel and grain-size distribution experiments, numerical modeling and kinetic theory.
首先，對風洞實驗中輸沙量垂向和水平分布的集沙沙樣進行了粒度分析實驗。
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.
用一級微擾法計算了折射率漸變分布的钛擴散铌酸锂矩形波導的傳播常數。
A numerical method for modeling fin-line septum, is presented.
本文介紹一種确定鳍線膜片等效電路參數的數值方法。
By solving the diffusion equation using the lattice gas automata (LGA), we develop a numerical technique for the modeling of flu.
利用格子氣自動機方法計算該擴散方程，實現了對雙重孔隙介質中流體運移過程的數值仿真模拟。
In this project, gas-liquid-solid slurry reactor was stu***d by experimental measurement, theoretical modeling and numerical simulation.
本項目采用實驗測量、理論建模和數值模拟相結合的方法對漿态床反應器進行研究。
n.|numerical simulation;數值模拟
數值建模（Numerical Modeling）是指通過數學方程和計算機技術模拟真實世界物理現象或工程問題的研究方法。其核心是将連續的自然規律轉化為離散的數值形式，借助算法疊代計算得出近似解。例如，工程師用有限元法模拟橋梁受力，或氣候學家用格點模型預測全球變暖趨勢。
該方法包含三個核心要素：
數值建模廣泛應用于：
其優勢在于可低成本模拟危險或宏觀尺度的現象，但需注意網格劃分精度、邊界條件設定等誤差來源。美國機械工程師協會（ASME）發布的V&V40标準為驗證流程提供了權威框架。
“numerical modeling”（數值建模）是指利用數學方法和計算機技術，對現實世界的物理現象、工程系統或自然過程進行模拟和分析的技術。其核心是通過數值計算（而非解析解）來近似求解複雜的數學方程，從而預測系統行為或驗證理論假設。
基本概念
數值建模将連續的自然現象（如流體流動、熱傳導、結構應力等）轉化為離散的數學方程，通過疊代計算得到近似解。例如，用有限差分法将微分方程轉化為差分方程，再通過計算機求解。
應用領域
常見方法
優勢與局限
原始偏微分方程：
$$
frac{partial T}{partial t} = alpha
abla T
$$
離散化後（顯式差分格式）：
$$
T_i^{n+1} = Ti^n + alpha frac{Delta t}{(Delta x)} (T{i+1}^n - 2Ti^n + T{i-1}^n)
$$
數值建模是現代科學和工程中不可或缺的工具，其精度取決于模型假設、網格劃分和邊界條件設置。實際應用中常需結合實驗數據驗證，以提高可靠性。
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