The iterative thermal emission method: A more implicit modification of IMC
Abstract
For over 40 years, the Implicit Monte Carlo (IMC) method has been used to solve challenging problems in thermal radiative transfer. These problems typically contain regions that are optically thick and diffusive, as a consequence of the high degree of “pseudo-scattering” introduced to model the absorption and reemission of photons from a tightly-coupled, radiating material. IMC has several well-known features that could be improved: a) it can be prohibitively computationally expensive, b) it introduces statistical noise into the material and radiation temperatures, which may be problematic in multiphysics simulations, and c) under certain conditions, solutions can be nonphysical, in that they violate a maximum principle, where IMC-calculated temperatures can be greater than the maximum temperature used to drive the problem.
- Authors:
-
- Oregon State Univ., Corvallis, OR (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Oregon State Univ., Corvallis, OR (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1239194
- Report Number(s):
- LLNL-JRNL-597432
Journal ID: ISSN 0021-9991
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 277; Journal Issue: C; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUMM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; thermal radiative transfer; implicit Monte Carlo
Citation Formats
Long, A. R., Gentile, N. A., and Palmer, T. S. The iterative thermal emission method: A more implicit modification of IMC. United States: N. p., 2014.
Web. doi:10.1016/j.jcp.2014.08.017.
Long, A. R., Gentile, N. A., & Palmer, T. S. The iterative thermal emission method: A more implicit modification of IMC. United States. https://doi.org/10.1016/j.jcp.2014.08.017
Long, A. R., Gentile, N. A., and Palmer, T. S. Tue .
"The iterative thermal emission method: A more implicit modification of IMC". United States. https://doi.org/10.1016/j.jcp.2014.08.017. https://www.osti.gov/servlets/purl/1239194.
@article{osti_1239194,
title = {The iterative thermal emission method: A more implicit modification of IMC},
author = {Long, A. R. and Gentile, N. A. and Palmer, T. S.},
abstractNote = {For over 40 years, the Implicit Monte Carlo (IMC) method has been used to solve challenging problems in thermal radiative transfer. These problems typically contain regions that are optically thick and diffusive, as a consequence of the high degree of “pseudo-scattering” introduced to model the absorption and reemission of photons from a tightly-coupled, radiating material. IMC has several well-known features that could be improved: a) it can be prohibitively computationally expensive, b) it introduces statistical noise into the material and radiation temperatures, which may be problematic in multiphysics simulations, and c) under certain conditions, solutions can be nonphysical, in that they violate a maximum principle, where IMC-calculated temperatures can be greater than the maximum temperature used to drive the problem.},
doi = {10.1016/j.jcp.2014.08.017},
journal = {Journal of Computational Physics},
number = C,
volume = 277,
place = {United States},
year = {Tue Aug 19 00:00:00 EDT 2014},
month = {Tue Aug 19 00:00:00 EDT 2014}
}
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Works referenced in this record:
Multi-dimensional radiation transport for modeling axisymmetric Z pinches: Ray tracing compared to Monte Carlo solutions for a two-level atom
journal, January 2010
- Apruzese, J. P.; Giuliani, J. L.
- Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 111, Issue 1
The National Ignition Facility (NIF): A path to fusion energy
journal, July 2008
- Moses, Edward I.
- Energy Conversion and Management, Vol. 49, Issue 7
Oxy-fuel coal combustion—A review of the current state-of-the-art
journal, July 2011
- Scheffknecht, Günter; Al-Makhadmeh, Leema; Schnell, Uwe
- International Journal of Greenhouse Gas Control, Vol. 5
An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
journal, December 1971
- Fleck, J. A.; Cummings, J. D.
- Journal of Computational Physics, Vol. 8, Issue 3
Analysis of a Monte Carlo method for nonlinear radiative transfer
journal, July 1987
- Larsen, Edward W.; Mercer, Bertrand
- Journal of Computational Physics, Vol. 71, Issue 1
A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling
journal, September 2009
- McClarren, Ryan G.; Urbatsch, Todd J.
- Journal of Computational Physics, Vol. 228, Issue 16
Including the effects of temperature-dependent opacities in the implicit Monte Carlo algorithm
journal, June 2011
- Gentile, N. A.
- Journal of Computational Physics, Vol. 230, Issue 12
Some general implicit processes for the numerical solution of differential equations
journal, April 1963
- Rosenbrock, H. H.
- The Computer Journal, Vol. 5, Issue 4
An analytical benchmark for non-equilibrium radiative transfer in an isotropically scattering medium
journal, September 1997
- Su, Bingjing; Olson, Gordon L.
- Annals of Nuclear Energy, Vol. 24, Issue 13
The non-equilibrium Marshak wave problem
journal, March 1979
- Pomraning, G. C.
- Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 21, Issue 3
A linear stability analysis for nonlinear, grey, thermal radiative transfer problems
journal, February 2011
- Wollaber, Allan B.; Larsen, Edward W.
- Journal of Computational Physics, Vol. 230, Issue 4
Symbolic implicit Monte Carlo
journal, August 1989
- Brooks, Eugene D.
- Journal of Computational Physics, Vol. 83, Issue 2