Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 231, Issue 20, Pages 6924-6934Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.06.020
Keywords
Radiative transfer; Implicit Monte Carlo; Hybrid transport-diffusion
Funding
- U.S. government [DE-AC52-06NA25396]
- U.S. Department of Energy through the LANL/LDRD Program
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Discrete Diffusion Monte Carlo (DDMC) is a technique for increasing the efficiency of Implicit Monte Carlo radiative-transfer simulations in optically thick media. In DDMC, particles take discrete steps between spatial cells according to a discretized diffusion equation. Each discrete step replaces many smaller Monte Carlo steps, thus improving the efficiency of the simulation. In this paper, we present an extension of DDMC for frequency-dependent radiative transfer. We base our new DDMC method on a frequency-integrated diffusion equation for frequencies below a specified threshold, as optical thickness is typically a decreasing function of frequency. Above this threshold we employ standard Monte Carlo, which results in a hybrid transport-diffusion scheme. With a set of frequency-dependent test problems, we confirm the accuracy and increased efficiency of our new DDMC method. (C) 2012 Elsevier Inc. All rights reserved.
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