輻射輸運與電子能量強耦合源項的一種高效計算方法
發(fā)布時間：2018-07-28 11:52
【摘要】：本文研究輻射輸運和電子能量耦合方程組的數值方法.在具有光性厚特征的應用問題中,這兩類方程的耦合源項表現出強剛性,使得設計穩(wěn)健高效的數值格式陷入困難.針對輻射輸運多群模型和電子能量的耦合方程組的剛性源項,我們給出一種基于電子溫度變化規(guī)律擬設(ansatz)的積分算法,其時間步長不受剛性源項限制,從而使得計算效率比傳統顯式方法或隱式非線性迭代獲得本質的提高.在所基于的擬設有效時,算法確保給出具有物理意義的解,數值算例顯示其給出的解具有較高的精確度.
[Abstract]:In this paper, the numerical method of radiation transport and electron energy coupling equations is studied. The coupled source terms of these two kinds of equations exhibit strong rigidity in the applications with the characteristic of photonic thickness, which makes it difficult to design a robust and efficient numerical scheme. For the rigid source term of the radiation transport multi-group model and the coupled equations of electron energy, we present an integral algorithm for (ansatz) based on the law of electron temperature variation, whose time step is not limited by the rigid source term. Therefore, the computational efficiency is improved substantially compared with the traditional explicit method or implicit nonlinear iteration. When the proposed solution is valid, the solution with physical meaning is guaranteed, and the numerical example shows that the solution given by the algorithm has a high accuracy.
【作者單位】： 北京大學數學科學學院科學與工程計算系;北京應用物理與計算數學研究所計算物理重點實驗室;
【基金】：國家自然科學基金(11401033,91330205) 計算物理重點實驗室基金資助項目
【分類號】：O241.8
本文編號：2150050
[Abstract]:In this paper, the numerical method of radiation transport and electron energy coupling equations is studied. The coupled source terms of these two kinds of equations exhibit strong rigidity in the applications with the characteristic of photonic thickness, which makes it difficult to design a robust and efficient numerical scheme. For the rigid source term of the radiation transport multi-group model and the coupled equations of electron energy, we present an integral algorithm for (ansatz) based on the law of electron temperature variation, whose time step is not limited by the rigid source term. Therefore, the computational efficiency is improved substantially compared with the traditional explicit method or implicit nonlinear iteration. When the proposed solution is valid, the solution with physical meaning is guaranteed, and the numerical example shows that the solution given by the algorithm has a high accuracy.
【作者單位】： 北京大學數學科學學院科學與工程計算系;北京應用物理與計算數學研究所計算物理重點實驗室;
【基金】：國家自然科學基金(11401033,91330205) 計算物理重點實驗室基金資助項目
【分類號】：O241.8
【相似文獻】
相關期刊論文 前7條
1 李功勝,陳貞波;一類非線性源項反演的存在性[J];淄博學院學報(自然科學與工程版);2002年02期
2 劉進慶;李功勝;;隨機擾動條件下對流彌散方程源項系數反演的數值模擬[J];山東大學學報(工學版);2008年03期
3 袁利國;邱華;聶篤憲;;熱傳導(對流-擴散)方程源項識別的粒子群優(yōu)化算法[J];數學的實踐與認識;2009年14期
4 金忠青;陳夕慶;;用脈沖譜-優(yōu)化法求解對流-擴散方程源項控制反問題[J];河海大學學報;1992年02期
5 李功勝,馬逸塵;半線性熱方程的源項反問題[J];數學物理學報;2001年02期
6 王兆清;綦甲帥;唐炳濤;;奇異源項問題的重心插值數值解[J];計算物理;2011年06期
7 ;[J];;年期
相關碩士學位論文 前1條
1 熊秧萍;具有源項和粘彈性項的波方程的一些研究[D];浙江師范大學;2012年
，本文編號：2150050
本文鏈接：http://www.lk138.cn/kejilunwen/yysx/2150050.html
