Variance Reduction of Monte Carlo Simulation in Nuclear Engineering Field

Saidi, Pooneh; Sadeghi, Mahdi; Tenreiro, Claudio

doi:10.5772/53384

Cited by 16 publications

(13 citation statements)

References 18 publications

(19 reference statements)

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“…49 The LLSF algorithm and the definition of the linearly dependent coefficient (LDC) are given in Appendix B. The figure of merit 50 (FOM) is used to quantify the efficiencies of the two algorithms:…”

Section: Resultsmentioning

confidence: 99%

Calculating the k -Eigenvalue Sensitivity to Typical Geometric Perturbations with the Adjoint-Weighted Method in the Continuous-Energy Reactor Monte Carlo Code RMC

Huang

et al. 2019

Nuclear Science and Engineering

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Geometric sensitivity analyses of the k-eigenvalue have many applications in analyses of geometric uncertainty, calculations of differential control rod worth, and searches for critical geometry. The adjoint-weighted first-order geometric sensitivity theory is widely used and has continuously evolved with the Monte Carlo methods. However, the existing adjoint-weighted algorithm can do only uniform isotropic expansions or contractions of surfaces. The adjoint-weighted algorithm also requires computation of adjoint-weighted scattering and fission reaction rates exactly at material interfaces, which has an infinitesimal probability in reality. This paper presents an improved geometry adjoint-weighted perturbation algorithm that is incorporated into the continuous-energy Reactor Monte Carlo (RMC) code. The improvement of the adjoint-weighted algorithm is decomposed into three steps for constructing a cross-section function of geometric parameters using logical expressions, calculating the derivative of the cross-section function, and estimating the adjoint-weighted surface reaction rates. The improved algorithm can accommodate common one-parameter geometric perturbations of internal interfaces or boundary surfaces as well as those of cells as long as the perturbed cells can be described by logical expressions of spatial surface equations. The perturbation algorithm is compared with a direct difference method, the linear least-squares fitting method with central differences, for several typical geometric perturbations including translation, fixed-axis rotation, and uniform isotropic/anisotropic expansion transformations of planar, spherical, cylindrical, and conical surfaces. The differences between the two methods are not more than 3% and not more than 3σ for the majority of the test examples. Even though the perturbation algorithm has higher figures of merit than the direct difference method for the majority of the test examples, there is no guarantee that the former can always be more efficient than the latter. The limitation in the efficiency of the perturbation algorithm was demonstrated by the totally reflecting light water reactor pin model.

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Section: Resultsmentioning

confidence: 99%

Calculating the k -Eigenvalue Sensitivity to Typical Geometric Perturbations with the Adjoint-Weighted Method in the Continuous-Energy Reactor Monte Carlo Code RMC

Huang

et al. 2019

Nuclear Science and Engineering

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“…This differences probably represent the number of simulated particles in which less number of simulated particles will be found in penumbra and outside field regions and result in a big statistical fluctuations in MC simulation and big gamma index (Graves et al 2013;Saidi et al 2013). …”

Section: Resultsmentioning

confidence: 99%

Monte Carlo Simulation of 6 MV Flattening Filter Free Photon Beam of True Beam STx LINAC at Songklanagarind Hospital

Efendi¹,

Funsian²,

Chittrakarn³

et al. 2017

JSM

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“…The theoretical method to obtain the dosimetric parameters of the brachytherapy seeds has been discussed and explained in Refs. [6,9].…”

Section: Production Of 103 Pdmentioning

confidence: 99%

“…For nearly 25 years, brachytherapy sources containing 103 Pd have been clinically introduced and are in use [4,5]. Sources containing 103 Pd are most commonly used in the treatment of prostate and eye cancer [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Production of the ¹⁰³Pd via Cyclotron and Preparation of the Brachytherapy Seed

Saidi¹,

Sadeghi²

2020

Recent Techniques and Applications in Ionizing Radiation Research

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This study will briefly explain the production of 103 Pd via cyclotron for brachytherapy use. The excitation functions of 103 Rh(p,n) 103 Pd and 103 Rh(d,2n) 103 Pd reactions were calculated using ALICE/91, ALICE/ASH, and TALYS-1.2 codes and compared with published data. Production of 103 Pd was done via 103 Rh(p,n) 103 Pd nuclear reaction. The target was bombarded with 18 MeV protons at 200 μA beam current for 15 h. After irradiation and radiochemical separation of the electroplated rhodium target, at the optimum condition, 103 Pd was absorbed into Amberlite®IR-93 resin. The preparation of the brachytherapy seed, which is loaded by the resin beads, has also been presented. At least, the method to determine the dosimetric parameters for the seed by experimental measurement has been presented.

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Variance Reduction of Monte Carlo Simulation in Nuclear Engineering Field

Cited by 16 publications

References 18 publications

Calculating the k -Eigenvalue Sensitivity to Typical Geometric Perturbations with the Adjoint-Weighted Method in the Continuous-Energy Reactor Monte Carlo Code RMC

Calculating the k -Eigenvalue Sensitivity to Typical Geometric Perturbations with the Adjoint-Weighted Method in the Continuous-Energy Reactor Monte Carlo Code RMC

Monte Carlo Simulation of 6 MV Flattening Filter Free Photon Beam of True Beam STx LINAC at Songklanagarind Hospital

Production of the ¹⁰³Pd via Cyclotron and Preparation of the Brachytherapy Seed

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Variance Reduction of Monte Carlo Simulation in Nuclear Engineering Field

Cited by 16 publications

References 18 publications

Calculating the k -Eigenvalue Sensitivity to Typical Geometric Perturbations with the Adjoint-Weighted Method in the Continuous-Energy Reactor Monte Carlo Code RMC

Calculating the k -Eigenvalue Sensitivity to Typical Geometric Perturbations with the Adjoint-Weighted Method in the Continuous-Energy Reactor Monte Carlo Code RMC

Monte Carlo Simulation of 6 MV Flattening Filter Free Photon Beam of True Beam STx LINAC at Songklanagarind Hospital

Production of the 103Pd via Cyclotron and Preparation of the Brachytherapy Seed

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Production of the ¹⁰³Pd via Cyclotron and Preparation of the Brachytherapy Seed