本文選題：時域不連續(xù)伽略金 + 數(shù)值流　； 參考：《電子科技大學(xué)》2017年碩士論文

【摘要】：時域不連續(xù)伽略金方法是近年來數(shù)值技術(shù)領(lǐng)域研究火熱的一種時域算法。這種算法并不是一種無中生有的新算法而是吸收多種時域算法的優(yōu)點逐步發(fā)展形成的。在空間離散上借鑒了有限元法的空間離散方式,在單元耦合的方式上則借鑒了有限體法邊界上流函數(shù)的概念,而在處理時間的問題上則應(yīng)用了與時域有限差分法類似的差分方法。2002年J.S.Hethaven教授第一次將時域不連續(xù)伽略金方法引入分析電磁學(xué)問題,自此計算電磁學(xué)又有了新的分析利器。電磁兼容技術(shù)和電磁干擾的抑制技術(shù)是時下需求越來越高的技術(shù)手段。究其原因是現(xiàn)代電子設(shè)備結(jié)構(gòu)功能日趨復(fù)雜,相互之間的干擾越來越多所造成的。電磁兼容的傳統(tǒng)分析方法是測試,在產(chǎn)品定型后進行大量的可靠性測試從而保證產(chǎn)品的功能。但這種方法即使發(fā)現(xiàn)問題往往也會浪費大量金錢投入到補救措施中。因此,現(xiàn)代電子設(shè)備的開發(fā),前期的數(shù)值建模分析是必不可少的一個環(huán)節(jié)。本文將應(yīng)用時域不連續(xù)伽略金方法分析集成電路的電磁兼容問題中。文章構(gòu)架大體可以歸納為:簡要介紹電磁兼容的發(fā)展和分析要點以及時域不連續(xù)伽略金方法依托的有限元方法,有限體法,有限差分法簡要概述。試圖通過幾種算法的探討對比,說明時域不連續(xù)伽略金方法的優(yōu)勢和發(fā)展前景。一、探討了時域不連續(xù)伽略金方法的具體實現(xiàn)。特別對于耗散問題應(yīng)用數(shù)值流的迎風(fēng)流進行了探討,在時間上采用高階的龍格庫塔方法進行插值。與原來的中心流蛙跳法體系進行的對比分析。二、將時域不連續(xù)伽略金方法應(yīng)用于集成電路源地模型的分析,時域不連續(xù)伽略金方法特別時域分析復(fù)雜的幾何形狀目標(biāo)。本文正是利用這一特質(zhì)進行了對應(yīng)的應(yīng)用。三、將時域不連續(xù)伽略金方法應(yīng)用于集成電路源地模型的分析,時域不連續(xù)伽略金方法特別時域分析復(fù)雜的幾何形狀目標(biāo)。本文正是利用這一特質(zhì)進行了對應(yīng)的應(yīng)用。
[Abstract]:The time domain discontinuous Galerkin method is a kind of time domain algorithm which has been studied in the field of numerical technology in recent years. This algorithm is not a new algorithm, but is developed by absorbing the advantages of many time-domain algorithms. The spatial discretization of finite element method is used for reference, and the concept of upper flow function at the boundary of finite body method is used for element coupling. In 2002, Professor J.S.Hethaven first introduced the time domain discontinuous Galerkin method into the analysis of electromagnetics, and since then, there has been a new analytical tool for the calculation of electromagnetics. Electromagnetic compatibility (EMC) technology and electromagnetic interference suppression (EMI) technology are increasingly demanding. The reason is that the structure and function of modern electronic equipment are becoming more and more complex and the interference between them is increasing. The traditional analysis method of EMC is testing. After the product is finalized, a large number of reliability tests are carried out to ensure the function of the product. But even if the problem is discovered, it often wastes a lot of money into remedial measures. Therefore, the development of modern electronic equipment, early numerical modeling and analysis is an essential link. In this paper, the time domain discontinuous Galerkin method is used to analyze the electromagnetic compatibility of integrated circuits. The framework of this paper can be summarized as follows: the development and analysis of EMC and the finite element method, finite body method and finite difference method based on Galerkin method in time domain are briefly introduced. This paper attempts to illustrate the advantages and prospects of the time domain discontinuous Galerkin method through the discussion and comparison of several algorithms. Firstly, the realization of the time domain discontinuous Galerkin method is discussed. Especially, the numerical flow is applied to the dissipative problem, and the high order Runge-Kutta method is used to interpolate in time. The results are compared with the original center stream leapfrog system. Secondly, the time domain discontinuous Galerkin method is applied to the analysis of the integrated circuit source model. The time domain discontinuous Galerkin method is especially used to analyze complex geometric objects in the time domain. This article uses this characteristic to carry on the corresponding application. Thirdly, the time domain discontinuous Galerkin method is applied to the analysis of the integrated circuit source model. The time domain discontinuous Galerkin method is especially used to analyze complex geometric objects in the time domain. This article uses this characteristic to carry on the corresponding application.
【學(xué)位授予單位】：電子科技大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TN03

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