基于不动点理论的核热耦合计算收敛特性研究

Convergence Study on Neutronic/Thermohydraulic Coupling Based on Fixed Point Theory

对于一些具有强烈核热耦合行为的新型反应堆(如超临界水堆),一般的迭代方法不再适用。本文基于不动点理论提出核反应堆核热耦合计算的数学模型,结合超临界水堆的计算实例,对核热耦合计算的迭代方法进行收敛性分析,总结出核热耦合计算的收敛判定方法,通过该方法可实时得到迭代的收敛情况,同时提出了自适应松弛因子及其算法,并编写了实现该算法的程序。

The traditional iterative method is not applicable for some new reactors （such as supercritical water-cooled reactor） which have intense neutronic/thermohydraulic coupling （N-T coupling） behavior. The mathematical model of N-T coupling based on fixed point theory is established in this paper, with the calculation examples of SCWR, so as to present the convergence analysis Of iterative methods in N-T coupling. The convergent criterion of N-T coupling is proposed, which can show the real-time convergence situation of iteration. Moreover, the self-adaptive relaxation factor and corresponding algorithm were introduced.