堆物理计算中的低维等效

• 作 者: 姚增华
• 机 构: 上海核工程研究设计院,
• 出 处: 核科学与工程
• 发表日期: 1988年04期
• 关键词: 物理计算 三维问题 扩散方程 堆芯 等效参数 重余 体积元 中子产生 三维计算 等效法

给出堆物理计算中低维等效的定义。引入泄漏曲率B_L~2的概念。以轴向一维等效为例,用中子守恒和权重余量法分别从物理上和数学上推导出轴向一维等效扩散方程。编制了计算一维等效参数的YPARAM程序。用一个试验三维问题比较了一维和三维的计算结果。一维等效方程的近似解误差在工程设计精度范围以内。

The definition of low-dimensional equivalence in heap physics calculation is given. Introduce the concept of leak curvature B_L ~ 2. Taking the axial one-dimensional equivalent as an example, the one-dimensional equivalent axial diffusion equation is derived physically and mathematically from the conservation of neutron and the weighted residual method respectively. A YPARAM program for calculating one-dimensional equivalent parameters has been prepared. One-dimensional and three-dimensional calculations were compared with one experimental three-dimensional problem. The approximate solution error of one-dimensional equivalent equation is within the engineering design accuracy range.