Algorithms for calculation of the transport tensor components in the generalized first collision probability method

Gurevich M.I.; Kalugin M.A.; Pryanichinikov A.V.; Telkovskaya O.V.; Shkarovskii D.A.

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Algorithms for calculation of the transport tensor components in the generalized first collision probability method

机译：广义第一碰撞概率法中运输张量分量的计算算法

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The first collision probability (FCP) method allows generalization by introducing several angular modes in each zone. Algorithms are proposed for calculating the components of the corresponding first collision tensor. These algorithms do not increase the computational complexity beyond that of the matrix calculation algorithm in the traditional FCP method and allow calculating a system described in terms of combinatorial geometry. Fourfold integrals are numerically taken in calculation of a three-dimensional system and twofold integrals are taken for two-dimensional geometry. The geometrical capabilities are ensured by using the standard geometrical module of the Monte Carlo method.

机译：第一种碰撞概率（FCP）方法允许通过在每个区域中引入几种角度模式进行概括。提出了用于计算相应的第一碰撞张量的分量的算法。这些算法的计算复杂度不会超过传统FCP方法中矩阵计算算法的计算复杂度，而是允许计算以组合几何学形式描述的系统。在三维系统的计算中采用四重积分，而对于二维几何则采用二重积分。通过使用蒙特卡洛方法的标准几何模块可以确保几何功能。

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《Physics of atomic nuclei》 |2010年第13期|共8页
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Gurevich M.I.; Kalugin M.A.; Pryanichinikov A.V.; Telkovskaya O.V.; Shkarovskii D.A.;
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1. Algorithms for calculation of the transport tensor components in the generalized first collision probability method [J] . Gurevich M.I., Kalugin M.A., Pryanichinikov A.V., Physics of atomic nuclei . 2010,第13期

机译：广义第一碰撞概率法中运输张量分量的计算算法
2. Algorithms for computing the components of the generalized transport tensor taking into account surface currents [J] . Gurevich M.I., Kalugin M.A., Pryanichnikov A.V., Physics of atomic nuclei . 2011,第13期

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3. The P _ij matrix and flux calculation of one-dimensional neutron transport in the slab geometry of nuclear fuel cell using collision probability method [J] . Mohammad Ali Shafii, Jakaria Usman, Seni H. J. Tongkukut, MATEC Web of Conferences . 2018,第12期

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5. CAD based Monte Carlo method: Algorithms for geometric evaluation in support of Monte Carlo radiation transport calculation [D] . Wang, Mengkuo 2006

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Algorithms for calculation of the transport tensor components in the generalized first collision probability method

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