Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics

Cleveland, Mathew A.; Gentile, Nick

doi:10.1016/j.jcp.2015.02.036

Title: Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics

Journal Article · Thu Feb 26 00:00:00 EST 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2015.02.036· OSTI ID:1762880

Cleveland, Mathew A. ^[1]; Gentile, Nick ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Here we describe how to couple a hybrid Implicit Monte Carlo Diffusion (HIMCD) method with a Lagrangian hydrodynamics code to evaluate the coupled radiation hydrodynamics equations. This HIMCD method dynamically applies Implicit Monte Carlo Diffusion (IMD) [1] to regions of a problem that are opaque and diffusive while applying standard Implicit Monte Carlo (IMC) [2] to regions where the diffusion approximation is invalid. We show that this method significantly improves the computational efficiency as compared to a standard IMC/Hydrodynamics solver, when optically thick diffusive material is present, while maintaining accuracy. Two test cases are used to demonstrate the accuracy and performance of HIMCD as compared to IMC and IMD. The first is the Lowrie semi-analytic diffusive shock [3]. The second is a simple test case where the source radiation streams through optically thin material and heats a thick diffusive region of material causing it to rapidly expand. We found that HIMCD proves to be accurate, robust, and computationally efficient for these test problems.

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1762880

Alternate ID(s):: OSTI ID: 1367753

Report Number(s):: LLNL-JRNL-639895; 758954; TRN: US2205935

Journal Information:: Journal of Computational Physics, Vol. 291, Issue 1; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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References (17)

Asymptotic analysis of radiative transfer problems Larsen, E. W.; Pomraning, G. C.; Badham, V. C. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 29, Issue 4 https://doi.org/10.1016/0022-4073(83)90048-1	journal	April 1983
Interface methods for hybrid Monte Carlo-diffusion radiation-transport simulations Densmore, Jeffery D. Annals of Nuclear Energy, Vol. 33, Issue 4 https://doi.org/10.1016/j.anucene.2005.11.007	journal	March 2006
A random walk procedure for improving the computational efficiency of the implicit Monte Carlo method for nonlinear radiation transport Fleck, J. A.; Canfield, E. H. Journal of Computational Physics, Vol. 54, Issue 3 https://doi.org/10.1016/0021-9991(84)90130-X	journal	June 1984
Diffusion-limit asymptotics of the transport equation, the P1/3 equations, and two flux-limited diffusion theories Morel, J. E. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 65, Issue 5 https://doi.org/10.1016/S0022-4073(99)00148-X	journal	June 2000
An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport Fleck, J. A.; Cummings, J. D. Journal of Computational Physics, Vol. 8, Issue 3 https://doi.org/10.1016/0021-9991(71)90015-5	journal	December 1971
Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation Habetler, G. J.; Matkowsky, B. J. Journal of Mathematical Physics, Vol. 16, Issue 4 https://doi.org/10.1063/1.522618	journal	April 1975
Emissivity of discretized diffusion problems Densmore, Jeffery D.; Davidson, Gregory; Carrington, David B. Annals of Nuclear Energy, Vol. 33, Issue 7 https://doi.org/10.1016/j.anucene.2006.02.006	journal	May 2006
Flux limiters and eddington factors Pomraning, G. C. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 27, Issue 5 https://doi.org/10.1016/0022-4073(82)90104-2	journal	May 1982
An algorithm for time evolving volume fractions in mixed zones in Lagrangian hydrodynamics calculations Miller, D. S.; Zimmerman, G. B. Russian Journal of Physical Chemistry B, Vol. 3, Issue 1 https://doi.org/10.1134/S1990793109010187	journal	February 2009
Implicit Monte Carlo Diffusion—An Acceleration Method for Monte Carlo Time-Dependent Radiative Transfer Simulations Gentile, N. A. Journal of Computational Physics, Vol. 172, Issue 2 https://doi.org/10.1006/jcph.2001.6836	journal	September 2001
Numerical Transport and Diffusion Methods in Radiative Transfer Szilard, R. H.; Pomraning, G. C. Nuclear Science and Engineering, Vol. 112, Issue 3 https://doi.org/10.13182/NSE92-A29073	journal	November 1992
A hybrid transport-diffusion method for Monte Carlo radiative-transfer simulations Densmore, Jeffery D.; Urbatsch, Todd J.; Evans, Thomas M. Journal of Computational Physics, Vol. 222, Issue 2 https://doi.org/10.1016/j.jcp.2006.07.031	journal	March 2007
Radiation transfer in the fluid frame Robert Buchler, J. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 30, Issue 5 https://doi.org/10.1016/0022-4073(83)90102-4	journal	November 1983
Discretizing the diffusion equation on unstructured polygonal meshes in two dimensions Palmer, Todd S. Annals of Nuclear Energy, Vol. 28, Issue 18 https://doi.org/10.1016/S0306-4549(01)00007-X	journal	December 2001
Radiative shock solutions with grey nonequilibrium diffusion Lowrie, Robert B.; Edwards, Jarrod D. Shock Waves, Vol. 18, Issue 2 https://doi.org/10.1007/s00193-008-0143-0	journal	May 2008
An extension of implicit Monte Carlo diffusion: Multigroup and the difference formulation Cleveland, Mathew A.; Gentile, Nick A.; Palmer, Todd S. Journal of Computational Physics, Vol. 229, Issue 16 https://doi.org/10.1016/j.jcp.2010.04.004	journal	August 2010
A hybrid transport-diffusion Monte Carlo method for frequency-dependent radiative-transfer simulations Densmore, Jeffery D.; Thompson, Kelly G.; Urbatsch, Todd J. Journal of Computational Physics, Vol. 231, Issue 20 https://doi.org/10.1016/j.jcp.2012.06.020	journal	August 2012

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71 CLASSICAL AND QUANTUM MECHANICS
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hybrid implicit Monte Carlo diffusion
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Title: Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics

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