广义碰撞概率在各向异性扩散系数计算中的应用

T. Takeda
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引用次数: 0

摘要

采用一速度下的首飞碰撞概率法,根据Benoist公式计算圆柱胞内的有效扩散系数。根据他的公式,扩散系数由倾斜通量的一个分量决定。利用勒让德展开考虑了倾斜磁通的各向异性和空间变化。膨胀系数由广义首飞碰撞概率确定。在单元边界处,导出了一种新的反射条件,用于广义碰撞概率,而不是通常的各向同性反射边界条件。从数值算例中可以看出,本文方法计算的径向扩散系数值与精确方法计算的值在方形单元中是一致的。此外,当包括勒让德展开的第一项时,可以看到径向扩散系数的快速收敛。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of the generalized collision probability to anisotropic diffusion coefficient calculation

The effective diffusion coefficient in a cylindrical cell is calculated from the Benoist formula by applying the first-flight collision probability method in one-velocity. Following his formula, the diffusion coefficient is determined by a component of the tilted flux. The anisotropy and the space variation of the tilted flux is taken into account by using the Legendre expansion. The expansion coefficients are determined by the generalized first-flight collision probability. At the cell boundary, a new reflection condition is derived for the generalized collision probability instead of the usual isotropic reflection boundary condition. From numerical examples, it is seen that values of the radial diffusion coefficient calculated from the present method agree with those from the exact method in a square cell. Further, when the first term of the Legendre expansion is included, rapid convergence of the radial diffusion coefficient can be seen.

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