skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Corrected Implicit Monte Carlo

Abstract

Here in this work we develop a set of nonlinear correction equations to enforce a consistent time-implicit emission temperature for the original semi-implicit IMC equations. We present two possible forms of correction equations: one results in a set of non-linear, zero-dimensional, non-negative, explicit correction equations, and the other results in a non-linear, non-negative, Boltzman transport correction equation. The zero-dimensional correction equations adheres to the maximum principle for the material temperature, regardless of frequency-dependence, but does not prevent maximum principle violation in the photon intensity, eventually leading to material overheating. The Boltzman transport correction guarantees adherence to the maximum principle for frequency-independent simulations, at the cost of evaluating a reduced source non-linear Boltzman equation. Finally, we present numerical evidence suggesting that the Boltzman transport correction, in its current form, significantly improves time step limitations but does not guarantee adherence to the maximum principle for frequency-dependent simulations.

Authors:
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1416278
Report Number(s):
LA-UR-17-22796
Journal ID: ISSN 0021-9991; TRN: US1800892
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 359; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Thermal radiative transfer; Implicit Monte Carlo; HOLO

Citation Formats

Cleveland, Mathew Allen, and Wollaber, Allan Benton. Corrected Implicit Monte Carlo. United States: N. p., 2018. Web. doi:10.1016/j.jcp.2017.12.038.
Cleveland, Mathew Allen, & Wollaber, Allan Benton. Corrected Implicit Monte Carlo. United States. doi:10.1016/j.jcp.2017.12.038.
Cleveland, Mathew Allen, and Wollaber, Allan Benton. Tue . "Corrected Implicit Monte Carlo". United States. doi:10.1016/j.jcp.2017.12.038.
@article{osti_1416278,
title = {Corrected Implicit Monte Carlo},
author = {Cleveland, Mathew Allen and Wollaber, Allan Benton},
abstractNote = {Here in this work we develop a set of nonlinear correction equations to enforce a consistent time-implicit emission temperature for the original semi-implicit IMC equations. We present two possible forms of correction equations: one results in a set of non-linear, zero-dimensional, non-negative, explicit correction equations, and the other results in a non-linear, non-negative, Boltzman transport correction equation. The zero-dimensional correction equations adheres to the maximum principle for the material temperature, regardless of frequency-dependence, but does not prevent maximum principle violation in the photon intensity, eventually leading to material overheating. The Boltzman transport correction guarantees adherence to the maximum principle for frequency-independent simulations, at the cost of evaluating a reduced source non-linear Boltzman equation. Finally, we present numerical evidence suggesting that the Boltzman transport correction, in its current form, significantly improves time step limitations but does not guarantee adherence to the maximum principle for frequency-dependent simulations.},
doi = {10.1016/j.jcp.2017.12.038},
journal = {Journal of Computational Physics},
number = ,
volume = 359,
place = {United States},
year = {Tue Jan 02 00:00:00 EST 2018},
month = {Tue Jan 02 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on January 2, 2019
Publisher's Version of Record

Save / Share: