A hybrid transport-diffusion Monte Carlo method for frequency-dependent radiative-transfer simulations

Journal Article · Wed Aug 15 00:00:00 EDT 2012 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2012.06.020· OSTI ID:22192334

Densmore, Jeffery D., E-mail: [e-mail] ^[1]; Thompson, Kelly G., E-mail: [e-mail] ^[1]; Urbatsch, Todd J., E-mail: [e-mail] ^[1]

---

1. Computational Physics and Methods Group, Los Alamos National Laboratory, P.O. Box 1663, MS D409, Los Alamos, NM 87545 (United States)

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.

• OSTI ID: 22192334
• Journal Information: Journal of Computational Physics, Vol. 231, Issue 20; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACCURACY
COMPUTERIZED SIMULATION
DIFFUSION
DIFFUSION EQUATIONS
EFFICIENCY
FREQUENCY DEPENDENCE
MONTE CARLO METHOD
PARTICLES
RADIANT HEAT TRANSFER