球几何中子输运保正线性间断有限元格式

发布时间：2018-07-05 12:35

本文选题：球几何 + 输运方程　；参考：《强激光与粒子束》2017年07期

【摘要】：针对球几何中子输运方程线性间断有限元方法计算的负中子通量问题,构造了保正线性间断有限元格式,该格式保持中子角通量0阶矩和1阶矩。现有方法计算中子角通量非负时,采用传统的线性间断有限元方法,求解线性方程组;原方法计算出现负通量,则采用构造的保正格式,求解非线性方程组。编制了球几何中子输运问题保正格式程序模块,并集成到应用程序。数值算例表明构造的保正格式计算的中子通量非负,有效降低数值误差,提高数值计算的精度。
[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.
【作者单位】：北京应用物理与计算数学研究所;
【基金】：国家自然科学基金项目(U1630249,11472059,11571048) 中国工程物理研究院科学技术发展基金项目(2014A0202009,2015B0202042)
【分类号】：O241.82

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