Convergence characteristics and acceleration of the transient fixed source equation solved by Monte Carlo method

نویسندگان

چکیده

The safety analysis of nuclear systems such as reactors requires transient calculation. Monte Carlo (MC) method has grown rapidly in recent years because its high-fidelity modelling and simulation capability. predictor-corrector quasi-static (PCQS) MC been investigated for kinetic However, the approach to shorten computational time required solve fixed source equation (TFSE) is still under development. convergence characteristic neutron iteration algorithm PCQS analyzed this study with a simplified model. It found that rate governed by effective spectral radius (ESR). lower ESR is, faster is. In order reduce ESR, asymptotic superhistory (ASM) developed RMC code. performance ASM evaluated C5G7-TD benchmark. Results show reduction number inactive cycles more than 85%, over 15% including active saved. demonstrated how speeds up iterations using Wasserstein distance measure.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Modified frame algorithm and its convergence acceleration by Chebyshev method

The aim of this paper is to improve the convergence rate of frame algorithm based on Richardson iteration and Chebyshev methods. Based on Richardson iteration method, we first square the existing convergence rate of frame algorithm which in turn the number of iterations would be bisected and increased speed of convergence is achieved. Afterward, by using Chebyshev polynomials, we improve this s...

متن کامل

Study of the absorbed dose rate of all rays emitted from the 252Cf brachytherapy source by the Monte Carlo method

The 252Cf brachytherapy source is a spontaneous fission decay source, which is used as a neutron-emitting source. In addition to neutrons emitted from this source, gamma rays are also emitted with the average energy of 1 MeV. In this study, using the Monte Carlo N-Particle code (MCNPX), the absorbed dose rates of the neutrons, the primary gamma and the secondary gamma that generated by thermal ...

متن کامل

On the Acceleration of the Multi-Level Monte Carlo Method

The multi-level Monte Carlo method proposed by Giles (2008) approximates the expectation of some functionals applied to a stochastic process with optimal order of convergence for the mean-square error. In this paper a modified multi-level Monte Carlo estimator is proposed with significantly reduced computational costs. As the main result, it is proved that the modified estimator reduces the com...

متن کامل

A Novel Source Convergence Acceleration Scheme for Monte Carlo Criticality Calculations, Part Ii: Implementation & Results

A novel technique for accelerating the convergence rate of the iterative power method for solving eigenvalue problems with the Monte Carlo method is presented in this paper. The new acceleration technique is based on a simple prescription for modifying the statistical importance of particles stored in the fission bank in order to bias the next generation source towards the fundamental mode solu...

متن کامل

A Novel Source Convergence Acceleration Scheme for Monte Carlo Criticality Calculations, Part I: Theory

A novel technique for accelerating the convergence rate of the iterative power method for solving eigenvalue problems is presented. Smoothed Residual Acceleration (SRA) is based on a modification to the well known fixed-parameter extrapolation method for power iterations. In SRA the residual vector is passed through a low-pass filter before the extrapolation step. Filtering limits the extrapola...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Frontiers in Energy Research

سال: 2023

ISSN: ['2296-598X']

DOI: https://doi.org/10.3389/fenrg.2022.1010482