谱亏损修正法在点燃耗方程中的应用  

Application of Spectral Deferred Correction Method in Point Burnup Equation

作　　者：蔡云[1] 李庆[1] 李天涯[1] 杨灵芳 CAI Yun;LI Qing;LI Tianya;YANG Lingfang(Key Laboratory of Nuclear Reactor System Design Technology,Nuclear Power Institute of China,Chengdu,Sichuan Province,610213 China)

机构地区：[1]中国核动力研究设计院核反应堆技术全国实验室,四川成都610213

出　　处：《科技资讯》2025年第6期226-230,共5页Science & Technology Information

摘　　要：点燃耗方程是反应堆物理最重要的微分方程之一,可以分析反应堆内核素随时间的变化关系。在精细燃耗计算中,需要考虑1 000多种核素,并且由于燃耗方程的刚性很强,使其数值求解难度大。谱亏损校正(Spectral Deferred Correction,SDC)法是一种新的用于复杂核素系统点燃耗计算的方法。该方法基于Gauss-Radau Ⅱ-A求积点,适用于刚性问题,并且具备良好的计算效率和精度。最后,采用了3个算例检验SDC的计算精度和效率,并和国际知名算法进行对比。The point burnup equation is one of the most important differential equations in reactor physics,which can analyze the relationship between reactor nuclides and time.In the fine burnup calculation,more than 1000 nuclides need to be considered,and the stiffness of the burnup equations makes it difficult to be solved.In this study,a new Spectral Deferred Correction(SDC)method for point burnup equation in complex nuclide systems is proposed.This method is based on Gauss-Radau II-A to find the quadrature points,which is suitable for stiff problems and has good computational efficiency and accuracy.Finally,three examples are used to test the calculation accuracy and efficiency of SDC,compared with internationally renowned algorithms.

关 键 词：点燃耗 谱亏损修正法 微分方程 刚性 

分 类 号：TL327[核科学技术—核技术及应用]