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Title: The iterative thermal emission method: A more implicit modification of IMC

Journal Article · · Journal of Computational Physics
 [1];  [2];  [3]
  1. Oregon State Univ., Corvallis, OR (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Oregon State Univ., Corvallis, OR (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

Research Organization:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1239194
Report Number(s):
LLNL-JRNL-597432
Journal Information:
Journal of Computational Physics, Vol. 277, Issue C; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (12)

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Oxy-fuel coal combustion—A review of the current state-of-the-art journal July 2011
An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport journal December 1971
Analysis of a Monte Carlo method for nonlinear radiative transfer journal July 1987
A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling journal September 2009
Including the effects of temperature-dependent opacities in the implicit Monte Carlo algorithm journal June 2011
Some general implicit processes for the numerical solution of differential equations journal April 1963
An analytical benchmark for non-equilibrium radiative transfer in an isotropically scattering medium journal September 1997
The non-equilibrium Marshak wave problem journal March 1979
A linear stability analysis for nonlinear, grey, thermal radiative transfer problems journal February 2011
Symbolic implicit Monte Carlo journal August 1989

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