Study on Second-Order Scheme for One-Dimensional Two-Fluid Model of Reactor
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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。
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关键词:
- 一维两流体模型 /
- 二阶精度算法 /
- flux limiter方法 /
- water faucet问题
Abstract: 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. -
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