In this paper we present a proof about the convergence of the 3D Nodal-LTSN Method in order to solve the transport problem in a parallelepiped domain. For that, we define functions associated to the errors, one in the approximated flux, another in the quadrature formula and establish a relation between them. We present a Nodal-LTSN method to generate an analytical solution for discrete ordinates problems in three-dimensional cartesian geometry. We first transverse integrate the SN equations and then we apply the Laplace transform. The essence of this method is the diagonalization of the LTSN transport matrices and the spectral analysis garantees this. The transverse leakage terms that appear in the transverse integrated SN equations are represented by exponential functions with decay constants that depend on the characteristics of the material of the medium the particles leave behind. We present numerical results generated by the offered method applied to typical shielding model problems.
Skip Nav Destination
16th International Conference on Nuclear Engineering
May 11–15, 2008
Orlando, Florida, USA
Conference Sponsors:
- Nuclear Engineering Division
ISBN:
0-7918-4815-9
PROCEEDINGS PAPER
The Error Bounds for Three-Dimensional Nodal LTSN Method
Eliete Biasotto Hauser,
Eliete Biasotto Hauser
Pontifi´cia Universidade Cato´lica do Rio Grande do Sul, Porto Alegre, RS, Brazil
Search for other works by this author on:
Ruben Panta Pazos,
Ruben Panta Pazos
Universidade de Santa Cruz do Sul, Santa Cruz do Sul, RS, Brazil
Search for other works by this author on:
Marco T. M. B. Vilhena,
Marco T. M. B. Vilhena
Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brazil
Search for other works by this author on:
Ricardo C. Barros
Ricardo C. Barros
Universidade do Estado do Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Search for other works by this author on:
Eliete Biasotto Hauser
Pontifi´cia Universidade Cato´lica do Rio Grande do Sul, Porto Alegre, RS, Brazil
Ruben Panta Pazos
Universidade de Santa Cruz do Sul, Santa Cruz do Sul, RS, Brazil
Marco T. M. B. Vilhena
Universidade Federal do Rio Grande do Sul, Porto Alegre, RS, Brazil
Ricardo C. Barros
Universidade do Estado do Rio de Janeiro, Rio de Janeiro, RJ, Brazil
Paper No:
ICONE16-48739, pp. 527-535; 9 pages
Published Online:
June 24, 2009
Citation
Hauser, EB, Pazos, RP, Vilhena, MTMB, & Barros, RC. "The Error Bounds for Three-Dimensional Nodal LTSN Method." Proceedings of the 16th International Conference on Nuclear Engineering. Volume 2: Fuel Cycle and High Level Waste Management; Computational Fluid Dynamics, Neutronics Methods and Coupled Codes; Student Paper Competition. Orlando, Florida, USA. May 11–15, 2008. pp. 527-535. ASME. https://doi.org/10.1115/ICONE16-48739
Download citation file:
1
Views
Related Proceedings Papers
Related Articles
The Duality of Leakage and Aliasing and Improved Digital Spectral Analysis Techniques
J. Dyn. Sys., Meas., Control (December,1996)
A Stochastic Approach to the Measurement and Analysis of Leadscrew Drive Kinematic Errors
J. Eng. Ind (November,1984)
Partitioned Transient Analysis Procedures for Coupled-Field Problems: Accuracy Analysis
J. Appl. Mech (December,1980)
Related Chapters
Spectral Analysis of Finite Amplitude Random Wave Loadings
International Conference on Mechanical and Electrical Technology 2009 (ICMET 2009)
Automatic Silence/Sonorant/Non-Sonorant Detection Based on Multi-Resolution Spectral Analysis and Anova Method
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Telecom: A Field with Myths and Mistakes All Its Own
More Hot Air