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Title: Corrected Implicit Monte Carlo

Journal Article · · Journal of Computational Physics
 [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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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.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1416278
Alternate ID(s):
OSTI ID: 1775889
Report Number(s):
LA-UR-17-22796; TRN: US1800892
Journal Information:
Journal of Computational Physics, Vol. 359; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Figures / Tables (17)

Figure 1(p. 12)figure Figure 1
Figure 2(p. 13)figure Figure 2
Figure 3(p. 14)figure Figure 3
Figure 4(p. 15)figure Figure 4
Figure 5(p. 16)figure Figure 5
Figure 6(p. 17)figure Figure 6
Table 1(p. 18)table Table 1
Table 2(p. 18)table Table 2
Figure 7(p. 19)figure Figure 7
Figure 8(p. 20)figure Figure 8
Figure 9(p. 21)figure Figure 9
Table 3(p. 22)table Table 3
Figure 10(p. 23)figure Figure 10
Figure 11(p. 24)figure Figure 11
Figure 12(p. 25)figure Figure 12
Table 4(p. 26)table Table 4
Figure 13(p. 34)figure Figure 13

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Related Subjects

97 MATHEMATICS AND COMPUTING
Thermal radiative transfer
Implicit Monte Carlo
HOLO