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

Abstract

This work describes 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.

Authors:
Publication Date:
OSTI Identifier:
22465631
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 291; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCURACY; APPROXIMATIONS; DIFFUSION; HEAT; HYDRODYNAMICS; LAGRANGIAN FUNCTION; MONTE CARLO METHOD; RADIATION TRANSPORT

Citation Formats

Cleveland, Mathew A., E-mail: cleveland7@llnl.gov, and Gentile, Nick. Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics. United States: N. p., 2015. Web. doi:10.1016/J.JCP.2015.02.036.
Cleveland, Mathew A., E-mail: cleveland7@llnl.gov, & Gentile, Nick. Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics. United States. https://doi.org/10.1016/J.JCP.2015.02.036
Cleveland, Mathew A., E-mail: cleveland7@llnl.gov, and Gentile, Nick. 2015. "Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics". United States. https://doi.org/10.1016/J.JCP.2015.02.036.
@article{osti_22465631,
title = {Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics},
author = {Cleveland, Mathew A., E-mail: cleveland7@llnl.gov and Gentile, Nick},
abstractNote = {This work describes 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.},
doi = {10.1016/J.JCP.2015.02.036},
url = {https://www.osti.gov/biblio/22465631}, journal = {Journal of Computational Physics},
issn = {0021-9991},
number = ,
volume = 291,
place = {United States},
year = {Mon Jun 15 00:00:00 EDT 2015},
month = {Mon Jun 15 00:00:00 EDT 2015}
}

Works referencing / citing this record:

Monte Carlo radiative transfer
journal, June 2019


Fast transform spectral method for Poisson equation and radiative transfer equation in cylindrical coordinate system
journal, March 2018


The Failure of Monte Carlo Radiative Transfer at Medium to High Optical Depths
journal, July 2018