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Title: Comparison of Implicit and Symbolic Implicit Monte Carlo Line Transport with Frequency Weight Vector Extension

Abstract

We compare the Implicit Monte Carlo (IMC) technique to the Symbolic IMC (SIMC) technique, with and without weight vectors in frequency space, for time-dependent line transport in the presence of collisional pumping. We examine the efficiency and accuracy of the IMC and SIMC methods for test problems involving the evolution of a collisionally pumped trapping problem to its steady-state, the surface heating of a cold medium by a beam, and the diffusion of energy from a localized region that is collisionally pumped. The importance of spatial biasing and teleportation for problems involving high opacity is demonstrated. Our numerical solution, along with its associated teleportation error, is checked against theoretical calculations for the last example.

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
15003240
Report Number(s):
UCRL-ID-147898-REV-1
TRN: US200320%%302
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Technical Report
Resource Relation:
Other Information: PDF-FILE: 29 ; SIZE: 0 KBYTES; PBD: 3 Dec 2002
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; DIFFUSION; EFFICIENCY; HEATING; NUMERICAL SOLUTION; OPACITY; PUMPING; TRANSPORT; TRAPPING; VECTORS

Citation Formats

McKinley, M S, Brooks, III, E D, and Szoke, A. Comparison of Implicit and Symbolic Implicit Monte Carlo Line Transport with Frequency Weight Vector Extension. United States: N. p., 2002. Web. doi:10.2172/15003240.
McKinley, M S, Brooks, III, E D, & Szoke, A. Comparison of Implicit and Symbolic Implicit Monte Carlo Line Transport with Frequency Weight Vector Extension. United States. https://doi.org/10.2172/15003240
McKinley, M S, Brooks, III, E D, and Szoke, A. 2002. "Comparison of Implicit and Symbolic Implicit Monte Carlo Line Transport with Frequency Weight Vector Extension". United States. https://doi.org/10.2172/15003240. https://www.osti.gov/servlets/purl/15003240.
@article{osti_15003240,
title = {Comparison of Implicit and Symbolic Implicit Monte Carlo Line Transport with Frequency Weight Vector Extension},
author = {McKinley, M S and Brooks, III, E D and Szoke, A},
abstractNote = {We compare the Implicit Monte Carlo (IMC) technique to the Symbolic IMC (SIMC) technique, with and without weight vectors in frequency space, for time-dependent line transport in the presence of collisional pumping. We examine the efficiency and accuracy of the IMC and SIMC methods for test problems involving the evolution of a collisionally pumped trapping problem to its steady-state, the surface heating of a cold medium by a beam, and the diffusion of energy from a localized region that is collisionally pumped. The importance of spatial biasing and teleportation for problems involving high opacity is demonstrated. Our numerical solution, along with its associated teleportation error, is checked against theoretical calculations for the last example.},
doi = {10.2172/15003240},
url = {https://www.osti.gov/biblio/15003240}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Dec 03 00:00:00 EST 2002},
month = {Tue Dec 03 00:00:00 EST 2002}
}