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Journal Articles

Judgment on convergence-in-distribution of Monte Carlo tallies under autocorrelation

Ueki, Taro

Nuclear Science and Engineering, 194(6), p.422 - 432, 2020/06

 Times Cited Count:0 Percentile:0.01(Nuclear Science & Technology)

In Monte Carlo criticality calculation, the convergence-in-distribution check of the sample mean of tallies can be approached in terms of the influence range of autocorrelation. In this context, it is necessary to evaluate the attenuation of autocorrelation coefficients over lags. However, in just one replica of calculation, it is difficult to accurately estimate small ACCs at large lags because of the comparability with statistical uncertainty. This paper proposes a method to overcome such an issue. Its essential component is the transformation of a standardized time series of tallies so that the resulting series asymptotically converges in distribution to Brownian motion. The convergence-in-distribution check is constructed based on the independent increment property of Brownian motion. The judgment criterion is set by way of the spectral analysis of fractional Brownian motion. Numerical results are demonstrated for extreme and standard types of criticality calculation.

Journal Articles

Universal methodology for statistical error and convergence of correlated Monte Carlo tallies

Ueki, Taro

Nuclear Science and Engineering, 193(7), p.776 - 789, 2019/07

 Times Cited Count:5 Percentile:48.18(Nuclear Science & Technology)

It is known that the convergence of standardized time series (STS) to Brownian bridge yields standard deviation estimators of the sample mean of correlated Monte Carlo tallies. In this work, a difference scheme based on a stochastic differential equation is applied to STS in order to obtain a new functional statistic (NFS) that converges to Brownian motion (BM). As a result, statistical error estimation improves twofold. First, the application of orthonormal weighting to NFS yields a new set of asymptotically unbiased standard deviation estimators of sample mean. It is not necessary to store tallies once the updating of estimator computation is finished at each generation. Second, it becomes possible to assess the convergence of sample mean in an assumption-free manner by way of the comparison of power spectra of NFS and BM. The methodology is demonstrated for three different types of problems encountered in Monte Carlo criticality calculation.

Journal Articles

Spectral analysis for convergence assessment in Monte Carlo criticality calculation

Ueki, Taro

Proceedings of International Conference on Mathematics & Computational Methods Applied to Nuclear Science & Engineering (M&C 2017) (USB Flash Drive), 6 Pages, 2017/04

In Monte Carlo criticality calculation, the formation of a confidence interval is based on the central limit theorem for a series of tallies from generations in equilibrium. A fundamental assertion of the theorem is the convergence in distribution (CID) of an interpolated standardized time series (ISTS) of tallies. This article reports a spectral analysis approach to ISTS in order to assess the convergence of tallies in terms of CID. Numerical results are demonstrated for a preliminary model of uranium-concrete debris.

Journal Articles

Numerical simulation of thermal striping phenomena in a T-junction piping system for fundamental validation and uncertainty quantification by GCI estimation

Tanaka, Masaaki; Miyake, Yasuhiro*

Mechanical Engineering Journal (Internet), 2(5), p.15-00134_1 - 15-00134_20, 2015/10

In this study, numerical simulation for the water experiment of a T-junction piping system (T-pipe) was carried out to validate the MUGTHES and to investigate the relation between the mechanism of temperature fluctuation generation and the unsteady motion of large eddy structures. In the numerical simulation, the large eddy simulation (LES) approach with standard Smagorinsky model was employed as eddy viscosity model to simulate large scale eddy motion in the T-pipe. As for uncertainty quantification in the validation process, the modified method of the Grid Convergence Index (GCI) estimation based on the least squire version could successfully quantify uncertainty. Through the numerical simulations, it could be found that the thermal mixing phenomena in the T-pipe were caused by the mutual interaction of the necklace-shaped vortex around the wake from the front of the branch jet, the horseshoe-shaped vortex and the Karman's vortex motions in the wake.

JAEA Reports

Monte carlo criticality calculation convergence guide; Results of nuclear code evaluation committee activity for fiscal 2001 and 2002 years

Nuclear Code Evaluation Special Committee of Nuclear Code Research Committee

JAERI-Tech 2003-078, 107 Pages, 2003/11

JAERI-Tech-2003-078.pdf:6.18MB

no abstracts in English

JAEA Reports

Acceleration of criticality analysis solution convergence by matrix eigenvector for a system with weak neutron interaction

Nomura, Yasushi; Takada, Tomoyuki; Kadotani, Hiroyuki*; Kuroishi, Takeshi

JAERI-Tech 2003-020, 88 Pages, 2003/03

JAERI-Tech-2003-020.pdf:4.31MB

no abstracts in English

Journal Articles

Self-collimation and magnetic field generation of astrophysical jets

Honda, Mitsuru*; Honda, Yasuko*

Astrophysical Journal, 569(1, Part2), p.L39 - L42, 2002/04

 Times Cited Count:24 Percentile:53.25(Astronomy & Astrophysics)

no abstracts in English

JAEA Reports

Annual report of nuclear code evaluation committee for fiscal 2000 year

Nuclear Code Evaluation Special Committee of Nuclear Code Research Committee

JAERI-Review 2002-003, 97 Pages, 2002/03

JAERI-Review-2002-003.pdf:8.64MB

no abstracts in English

Journal Articles

Results of OECD/NEA Monte Carlo source convergence benchmark problem 3

Miyoshi, Yoshinori; Yamamoto, Toshihiro

Transactions of the American Nuclear Society, 87, p.149 - 150, 2002/00

no abstracts in English

Journal Articles

A Study of beam halo in a periodic focusing channel

Ikegami, Masanori*

Proceedings of 23rd Linear Accelerator Meeting in Japan, p.390 - 392, 1998/00

no abstracts in English

JAEA Reports

None

PNC TN1430 97-001, 28 Pages, 1997/01

PNC-TN1430-97-001.pdf:1.3MB

no abstracts in English

JAEA Reports

A Computer code simulating multistage chemical exchange column under wide range of operating conditions

Yamanishi, Toshihiko; Okuno, Kenji

JAERI-Data/Code 96-028, 32 Pages, 1996/09

JAERI-Data-Code-96-028.pdf:0.89MB

no abstracts in English

Journal Articles

Three-dimensional multiple reciprocity boundary element method for one-group neutron diffusion eigenvalue computations

; *

Journal of Nuclear Science and Technology, 33(2), p.101 - 109, 1996/02

 Times Cited Count:9 Percentile:62.03(Nuclear Science & Technology)

no abstracts in English

Journal Articles

Multiple reciprocity boundary element method applied to neutron diffusion and Helmholtz-type eigenvalue problems

; C.A.Brebbia*

Kyokai Yosoho Kenkyukai BEM, Tekunoroji, Konfarensu Rombunshu, p.59 - 64, 1993/06

no abstracts in English

JAEA Reports

None

*; *

PNC TJ2222 93-001, 88 Pages, 1993/03

PNC-TJ2222-93-001.pdf:3.54MB

None

Journal Articles

Beam divergence with harmonic gyroresonance in focusing wiggler and axial field

Sakamoto, Keishi; *; Kishimoto, Yasuaki; Kawasaki, S.*; Musyoki, S.*; *; *; Ishizuka, H.*;

Physical Review Letters, 70(4), p.441 - 444, 1993/01

 Times Cited Count:11 Percentile:63.96(Physics, Multidisciplinary)

no abstracts in English

JAEA Reports

FEL experiment with a focusing wiggler

*; Sakamoto, Keishi; *; Musyoki, S.*; *; Ishizuka, H.*; Nagashima, Takashi; Kawasaki, S.*;

JAERI-M 92-109, 68 Pages, 1992/08

JAERI-M-92-109.pdf:1.94MB

no abstracts in English

Journal Articles

Remedy for round-off error accumulation observed in a neutron diffusion calculation using the multiple reciprocity boundary element method

; C.A.Brebbia*

Engineering Analysis with Boundary Elements, 10, p.345 - 352, 1992/00

 Times Cited Count:9 Percentile:73.03(Engineering, Multidisciplinary)

no abstracts in English

JAEA Reports

None

; Kamide, Hideki

PNC TN9410 91-227, 16 Pages, 1991/07

PNC-TN9410-91-227.pdf:0.44MB

None

Journal Articles

Project and status of the JAERI free electron laser

Sawamura, Masaru; Okubo, Makio; ; Minehara, Eisuke; Sugimoto, Masayoshi; *; Kawarasaki, Yuki; *

Proc. of the 14th Linear Accelerator Meeting in Japan, p.29 - 31, 1989/09

no abstracts in English

29 (Records 1-20 displayed on this page)