一种特殊条件下的扩散方程的数值解法及物理分析

Numerical Method and Physical Analysis for One Special Diffusion Equation

利用有限差分方法中的预估校正格式求解裂变产物在燃料芯块中的扩散方程,并进行了灵活的边界条件处理,取得了令人满意的计算精度,为有效开展对反应堆燃料元件破损探测信号的定量分析提供了条件.对数值计算过程进行了一定的物理分析,从物理意义上解释了数值计算过程中一些特殊处理的合理性.

This paper describes the finite difference method with some special boundary condition＇s disposing method used for solving the diffusion equation of fission products＇ release from fuel to gap. The result is satisfactory which will facilitate the quantitative analysis of failed fuel detection signal. This paper gives some explanations of the rationality of the numerical method