【摘要】：本文研究輻射輸運(yùn)和電子能量耦合方程組的數(shù)值方法.在具有光性厚特征的應(yīng)用問(wèn)題中,這兩類方程的耦合源項(xiàng)表現(xiàn)出強(qiáng)剛性,使得設(shè)計(jì)穩(wěn)健高效的數(shù)值格式陷入困難.針對(duì)輻射輸運(yùn)多群模型和電子能量的耦合方程組的剛性源項(xiàng),我們給出一種基于電子溫度變化規(guī)律擬設(shè)(ansatz)的積分算法,其時(shí)間步長(zhǎng)不受剛性源項(xiàng)限制,從而使得計(jì)算效率比傳統(tǒng)顯式方法或隱式非線性迭代獲得本質(zhì)的提高.在所基于的擬設(shè)有效時(shí),算法確保給出具有物理意義的解,數(shù)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(xué)數(shù)學(xué)科學(xué)學(xué)院科學(xué)與工程計(jì)算系;北京應(yīng)用物理與計(jì)算數(shù)學(xué)研究所計(jì)算物理重點(diǎn)實(shí)驗(yàn)室;
【基金】：國(guó)家自然科學(xué)基金(11401033,91330205) 計(jì)算物理重點(diǎn)實(shí)驗(yàn)室基金資助項(xiàng)目
【分類號(hào)】：O241.8

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