Iterative Implicit Monte Carlo

Journal Article · Tue Apr 21 04:00:00 EDT 2015 · Journal of Computational and Theoretical Transport

DOI:https://doi.org/10.1080/23324309.2015.1012681· OSTI ID:1177248

Gentile, N. A. ^[1]; Yee, Ben C. ^[2]

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1. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
2. Univ. of Michigan, Ann Arbor, MI (United States)

Here, we describe a new Monte Carlo thermal radiation transport method that is fully implicit in the value of matter temperature used to calculate thermal emission. This method involves iterating on the matter temperature until convergence at the end of the time-step value of the matter temperature is obtained. Because the method is fully implicit, it eliminates the violations of the maximum principle that can occur in Implicit Monte Carlo (IMC) simulations on the problems on which we have tested it. The method has the drawback that it is considerably more expensive than IMC for simulations with cold opaque regions. We discuss the reasons for this, and discuss some ways that the number of iterations may be reduced.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA), Nuclear Criticality Safety Program (NCSP); USDOE Office of Nuclear Energy (NE), Nuclear Energy University Program (NEUP)
• DOE Contract Number: AC52-07NA27344
• OSTI ID: 1177248
• Report Number(s): LLNL--JRNL-660982
• Journal Information: Journal of Computational and Theoretical Transport, Journal Name: Journal of Computational and Theoretical Transport Journal Issue: 1-2 Vol. 45; ISSN 2332-4309
• Publisher: Taylor and Francis
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
97 MATHEMATICS AND COMPUTING
Monte Carlo methods
Nuclear Criticality Safety Program (NCSP)
thermal radiation transport