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A Monte Carlo Perturbation Source Method for Reactivity Calculations

Thomas J. Hoffman, L.M. Petrie, N.F. Landers

Open publisher page 14 citations

Abstract

In this paper, a Monte Carlo method for the calculation of the change in the neutron multiplication factor of a reactor due to cross-section perturbations is developed. Although similar to the perturbation source method developed by Matthes, this method is not limited to problems in which first-order perturbation theory is applicable. This method has been implemented in the KENO computer code and applied to a variety of problems. The results of these calculations are presented in this paper. This approach should prove useful in the solution of problems in which other Monte Carlo methods, such as Matthes' first-order perturbation source method and correlated sampling, fail.

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What this paper is about

In this paper, a Monte Carlo method for the calculation of the change in the neutron multiplication factor of a reactor due to cross-section perturbations is developed. Although similar to the perturbation source method developed by Matthes, this method is not limited to problems in which first-order perturbation theory is applicable. This method has been implemented in the KENO computer code and applied to a variety of problems. The results of these calculations are presented in this paper. This approach should prove useful in the solution of problems in which other Monte Carlo methods, such as Matthes' first-order perturbation source method and correlated sampling, fail.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, a Monte Carlo method for the calculation of the change in the neutron multiplication factor of a reactor due to cross-section perturbations is developed. Although similar to the perturbation source method developed by Matthes, this method is not limited to problems in which first-order perturbation theory is applicable. This method has been implemented in the KENO computer code and applied to a variety of problems. The results of these calculations are presented in this paper. This approach should prove useful in the solution of problems in which other Monte Carlo methods, such as Matthes' first-order perturbation source method and correlated sampling, fail.

Key concepts: Monte Carlo method, Perturbation (astronomy), Statistical physics, Dynamic Monte Carlo method, Monte Carlo integration, Physics, Monte Carlo molecular modeling, Quasi-Monte Carlo method

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