Traditional Monte Carlo simulations usually use bin-counting to statistically analyze relevant parameters.Rough bin division is difficult to accurately describe the distribution of some parameters in the whole space,while detailed bin division requires a large number of samples to meet the required statistical accuracy,which will take a lot of time.The functional expansion tallies method(FET method)can obtain the continuous distribution of parameters in the solution space,and can solve the problem that computational efficiency and accuracy cannot be achieved at the same time.The FET method based on track-length estimation is innovatively implemented in Monte Carlo Code(RMC).In addition,the Legendre polynomials and Zemike polynomials are combined to calculate the continuous distribution of the parameters in the three-dimensional assembly space.At the same time,the simulation time of FET method and meshtally method are compared.The results show that the calculation results of FET method are in good agreement with the meshtally method,and the simulation time of FET method is reduced while the simulation memory is greatly reduced.Therefore,the functional expansion tallies method developed in this study can be used in Monte Carlo code.
RMCFunctional expansion tallies(FET method)Track-length estimationThree-dimensional assembly space
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