Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics

Cleveland, Mathew A.; Gentile, Nick

doi:10.1016/j.jcp.2015.02.036

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.

View Accepted Manuscript (DOE)

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: 22465631
OSTI ID: 1367753

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

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

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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