本文選題：球幾何 + 輸運(yùn)方程　； 參考：《強(qiáng)激光與粒子束》2017年07期

【摘要】：針對(duì)球幾何中子輸運(yùn)方程線性間斷有限元方法計(jì)算的負(fù)中子通量問(wèn)題,構(gòu)造了保正線性間斷有限元格式,該格式保持中子角通量0階矩和1階矩�，F(xiàn)有方法計(jì)算中子角通量非負(fù)時(shí),采用傳統(tǒng)的線性間斷有限元方法,求解線性方程組;原方法計(jì)算出現(xiàn)負(fù)通量,則采用構(gòu)造的保正格式,求解非線性方程組。編制了球幾何中子輸運(yùn)問(wèn)題保正格式程序模塊,并集成到應(yīng)用程序。數(shù)值算例表明構(gòu)造的保正格式計(jì)算的中子通量非負(fù),有效降低數(shù)值誤差,提高數(shù)值計(jì)算的精度。
[Abstract]:To solve the negative neutron flux problem calculated by linear discontinuous finite element method for spherical geometry neutron transport equations, a positive linear discontinuous finite element scheme is constructed, which preserves the zero and first order moment of neutron angular flux. When the neutron angular flux is not negative, the traditional linear discontinuous finite element method is used to solve the linear equations, and the original method to calculate the negative flux is used to solve the nonlinear equations by using a positive preserving scheme. The program module of the normal-preserving format for the spherical geometry neutron transport problem is developed and integrated into the application program. Numerical examples show that the neutron flux calculated by the positive preserving scheme is non-negative, which effectively reduces the numerical error and improves the accuracy of numerical calculation.
【作者單位】： 北京應(yīng)用物理與計(jì)算數(shù)學(xué)研究所;
【基金】：國(guó)家自然科學(xué)基金項(xiàng)目(U1630249,11472059,11571048) 中國(guó)工程物理研究院科學(xué)技術(shù)發(fā)展基金項(xiàng)目(2014A0202009,2015B0202042)
【分類號(hào)】：O241.82

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