反应堆一维两流体模型二阶精度数值解法研究  

Study on Second-Order Scheme for One-Dimensional Two-Fluid Model of Reactor

作　　者：张小英[1] 丁斐[1] 陈佳跃[1] 

机构地区：[1]华南理工大学电力学院,广州510640

出　　处：《核动力工程》2013年第4期27-32,共6页Nuclear Power Engineering

基　　金：国家自然科学基金项目(10702020;51176052);广东省科技攻关项目(2009B010900020);中央高校基本科研业务费专项资金(2009ZM0279);广东普通高校重点实验室资金(KLB10004)

摘　　要：探索一维两流体模型的二阶精度算法,并将其用于一阶精度程序TFIT,开发出二阶精度程序,采用flux limiter计算对流项,并采用表面张力加强数值解法的稳定性。通过对经典的不连续两流体冲击问题——water faucet问题进行模拟,得到冲击波在管内的前行过程,将二阶与一阶程序和精确解进行对比,结果表明:二阶精度的程序精度明显提高,其稳定性与一阶精度的程序保持一致,并能更好地捕捉管内冲击波。At present, the numerical solution of one-dimensional two-fluid model is only first order. Safety design of advanced reactor depends on higher-ordered numerical scheme and code. This work aims at the investigation of the second-ordered scheme for the one-dimensional two-fluid model, to apply the second scheme for improving one first-order test code TFIT to second ordered. Flux-limiter scheme is used for the convection term, the surface tension term is adopted to make the numerical solution stable. The classical water wave problem-water faucet problem is used as the benchmark to test the second-ordered scheme. The numerical solutions of second-ordered and first-ordered scheme are compared with analytical solutions, and the comparison shows that the second-ordered solutions tend to analytical solutions better, catch the void wave of the water faucet problem well, and keep to the same stability of first-ordered code.

关 键 词：一维两流体模型 二阶精度算法 fluxlimiter方法 waterfaucet问题 

分 类 号：TL33[核科学技术—核技术及应用]