To solve the three - dimensional homogeneous field region , the boundary element method ( bem ) was described in chapter 2 第二章論述了如何應(yīng)用邊界元數(shù)值計算方法求解三維均勻場域,并用visualc + +語言編制了相應(yīng)的計算程序。
This article uses foundation layered elastic modle which is analogy to the real project , deduces and solves the plate by boundary element method ( bem ) and summing in layers method 本文選用與實際工程場地特性較為接近的分層彈性地基模型,采用邊界元法推導(dǎo)并求解中厚板。
The boundary element method ( bem ) is applied to compute crack open displacement ( cod ) . because of unit area being resolved or linear integrated , the efficiency and precision of boundary element analysis are improved greatly 采用裂紋張開位移全場擬合法( gcdfp )求出裂紋面前緣的應(yīng)力強(qiáng)度因子( sif ) ,所得到的sif達(dá)到與所用的裂紋張開位移( cod )資料同樣的精度。
A convergence acceleration technique , boundary element method ( bem ) , spectrum of two - dimension solutions ( s2ds ) method are used separately in solving dyadic green function of the three domain . next , waveguide narrow - wall slots array ' s is introduced in this paper 對外部空間,與縫隙腔體區(qū)域一樣認(rèn)為場量與z無關(guān),對所有場量做z方向的fourier變換,得到譜域上的一系列去耦合的二維方程。
Under the networked pc cluster parallel computing environment , the parallel boundary element method ( bem ) used to analyze elasto - static , elasto - dynamic and elasto - plastic structure is studied in this dissertation and applied to analysis of hydraulic structure 本文主要在網(wǎng)絡(luò)微機(jī)機(jī)群并行計算環(huán)境下,對彈性靜力、彈性動力和彈塑性結(jié)構(gòu)的并行邊界元分析方法進(jìn)行了研究,并在水工結(jié)構(gòu)分析中進(jìn)行了實際應(yīng)用。
Although the boundary element method ( bem ) is recognized as the most efficient one to solve this kind of problems , the inherent conflicts between the simplicity of the method and the complexity of the practice block the large - scale application of the bem 對于這類逆熱傳導(dǎo)問題,現(xiàn)在公認(rèn)有效的解決方法是利用邊界元方法( bem ) 。許多前人在這方面的作了大量的研究工作,取得了不少的研究成果,但是也存在著不少的局限性。
As an effective numerical analysis method of scientific and engineering problems developed following finite element method ( fem ) , boundary element method ( bem ) has some attractive advantages , such as easier simulating complex boundary shape , high accuracy and dimension reduction 邊界元法是在有限元法之后發(fā)展起來的一種精確高效的工程與科學(xué)問題的數(shù)值分析方法,具有便于模擬復(fù)雜邊界形狀、求解精度高、降維等優(yōu)點。
In part i , based on the systematic review of the study history and prospect of nwt , the detailed process of a 2 - d nwt model developed independently is reported . the two key discretization methods , boundary element method ( bem ) and mixed eular - langurange ( mel ) method , are introduced in detail , and an integrated flow chart of the detailed time - domain simulation steps of nwt is presented 第一部分在回顧數(shù)值波浪水槽發(fā)展歷程、現(xiàn)狀及其應(yīng)用前景的基礎(chǔ)上,重點報告本人獨(dú)立開發(fā)二維非線性數(shù)值波浪水槽模式的研究工作,其中包括構(gòu)建數(shù)值波浪水槽的運(yùn)行原理和具體步驟等全過程。
2 . using a new method , virtual boundary element method ( vbem ) to electromagnetic calculating . this method , same as boundary element method ( bem ) , need not analysis all the field area , and need not specially deal with no closed in boundaries . future more , vbem has advantage in calculating speed , and can avoid singularity integrating being predestined in bem 2 .使用了一種新方法,虛邊界元方法用于強(qiáng)流電子槍電子軌跡的模擬,這種方法與邊界元法一樣不須要對所有場域進(jìn)行計算,對于不封閉場域不須要做特殊處理,從而避免了有限元法和有限差分法的方法缺陷,它具有計算速度快的優(yōu)勢,且不存在邊界元法所不可避免的奇異積分。
In this dissertation , the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory , method and the application technique , based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem . the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced , based on the wave propagation theorem ; the arising of the non - unique solutions , which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem , is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples 第二章在聲波動理論基礎(chǔ)上,詳細(xì)地推導(dǎo)出對應(yīng)于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式;根據(jù)fredholm積分理論,對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產(chǎn)生進(jìn)行了分析和證明;改進(jìn)了chief法以提高其克服解的非唯一性的有效性和可靠性;對不同條件下奇性系數(shù)的計算、強(qiáng)奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數(shù)值求積分等進(jìn)行了研究;開發(fā)了三次樣條改進(jìn)chief法計算軟件,并通過算例考核了該方法在特征波數(shù)處克服解的非唯一性的有效性和在保證計算精度的前提下實現(xiàn)剖分粗化以提高計算效率的可行性。