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Title: Monte Carlo solution of a semi-discrete transport equation

Abstract

The authors present the S{sub {infinity}} method, a hybrid neutron transport method in which Monte Carlo particles traverse discrete space. The goal of any deterministic/stochastic hybrid method is to couple selected characters from each of the methods in hopes of producing a better method. The S{sub {infinity}} method has the features of the lumped, linear-discontinuous (LLD) spatial discretization, yet it has no ray-effects because of the continuous angular variable. They derive the S{sub {infinity}} method for the solid-state, mono-energetic transport equation in one-dimensional slab geometry with isotropic scattering and an isotropic internal source. They demonstrate the viability of the S{sub {infinity}} method by comparing their results favorably to analytic and deterministic results.

Authors:
; ;
Publication Date:
Research Org.:
Los Alamos National Lab., NM (US)
Sponsoring Org.:
USDOE Office of Defense Programs (DP) (US)
OSTI Identifier:
756987
Report Number(s):
LA-UR-99-1131
TRN: US0003754
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Conference
Resource Relation:
Conference: ANS, Math and Computations, Madrid (ES), No date supplied; Other Information: Conference held during 09/1999; PBD: 1 Sep 1999
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; MONTE CARLO METHOD; NEUTRON TRANSPORT THEORY; STOCHASTIC PROCESSES; HYBRID SYSTEMS

Citation Formats

Urbatsch, T.J., Morel, J.E., and Gulick, J.C. Monte Carlo solution of a semi-discrete transport equation. United States: N. p., 1999. Web.
Urbatsch, T.J., Morel, J.E., & Gulick, J.C. Monte Carlo solution of a semi-discrete transport equation. United States.
Urbatsch, T.J., Morel, J.E., and Gulick, J.C. Wed . "Monte Carlo solution of a semi-discrete transport equation". United States. https://www.osti.gov/servlets/purl/756987.
@article{osti_756987,
title = {Monte Carlo solution of a semi-discrete transport equation},
author = {Urbatsch, T.J. and Morel, J.E. and Gulick, J.C.},
abstractNote = {The authors present the S{sub {infinity}} method, a hybrid neutron transport method in which Monte Carlo particles traverse discrete space. The goal of any deterministic/stochastic hybrid method is to couple selected characters from each of the methods in hopes of producing a better method. The S{sub {infinity}} method has the features of the lumped, linear-discontinuous (LLD) spatial discretization, yet it has no ray-effects because of the continuous angular variable. They derive the S{sub {infinity}} method for the solid-state, mono-energetic transport equation in one-dimensional slab geometry with isotropic scattering and an isotropic internal source. They demonstrate the viability of the S{sub {infinity}} method by comparing their results favorably to analytic and deterministic results.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1999},
month = {9}
}

Conference:
Other availability
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