Nuclear Techniques ›› 2016, Vol. 39 ›› Issue (4): 40501-040501.doi: 10.11889/j.0253-3219.2016.hjs.39.040501


Research and verification of Monte Carlo burnup calculations based on Chebyshev rational approximation method

FAN Wending1,2, SUN Guangyao2, ZHANG Binhang2, CHEN Rui2, HAO Lijuan2   

  1. 1 School of Nuclear Science and Technology, University of Science and Technology of China, Hefei 230027, China;
    2 Key Laboratory of Neutronics and Radiation Safety, Institute of Nuclear Energy Safety Technology, Chinese Academy of Sciences, Hefei 230031, China
  • Received:2015-11-30 Revised:2016-03-08 Online:2016-04-10 Published:2016-04-08
  • Supported by:

    Supported by Strategic Priority Research Program of Chinese Academy of Sciences(No.XDA03040000), National Natural Science Foundation of China(No.11305205, No.11305203)


Background: Burnup calculation is the key point of reactor design and analysis. It's significant to calculate the burnup situation and isotopic atom density accurately while a reactor is being designed. Purpose: Based on the Monte Carlo particle simulation code SuperMC(Super Monte Carlo Simulation Program for Nuclear and Radiation Process), this paper aimed to conduct preliminary study and verification on Monte Carlo burnup calculations. Methods: For the characteristics of accuracy, this paper adopted Chebyshev rational approximation method(CRAM) as the point-burnup algorithm. Moreover, instead of the union energy grids method, this paper adopted an energy searching method based on bucket sort algorithm, which reduced the memory overhead on the condition that the calculation efficiency is ensured. Results: By calculating the fuel rod burnup problem and the IAEA-ADS(International Atomic Energy Agency-Accelerator Driven Systems) international benchmark, the simulation results were basically consistent with Serpent and other counties' results, respectively. In addition, the bucket sort energy searching method reduced about 95% storage space compared with union energy grids method for IAEA-ADS benchmark. Conclusion: Depending on these results, the correctness of burnup calculations method implemented by this paper has been verified.

Key words: Burnup, Monte Carlo, CRAM, Bucket sort

CLC Number: 

  • TL329.2