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基于二阶Godunov方法对压水堆系统最佳估算分析程序RELAP5的一维硼追踪模型进行改进,在原有模型的基础上进一步考虑湍流扩散引起的质量扩散效应。采用经典的对流-扩散问题的精确解对改进模型进行验证;同时,对流速适用范围、节块划分对求解精度的影响进行敏感性分析。该方法能够较好地模拟低流速情况下的含硼溶液扩散过程,且能保证不同网格精度下的求解精度。
Based on the second-order Godunov method, the one-dimensional boron tracking model of RELAP5, the best estimation and analysis program for PWR system, is improved. Based on the original model, the mass diffusion effect caused by turbulent diffusion is further considered. The accurate model of convection-diffusion problem is used to verify the improved model. At the same time, the sensitivity analysis of the application range of flow velocity and the influence of block division on the accuracy of solution is carried out. The proposed method can simulate the diffusion process of boron-containing solution under low flow rate well, and can guarantee the accuracy of the solution under different grid accuracies.