A Monte Carlo Thermal Radiative Transfer Solver with Nonlinear Elimination

Lam, Adam Q.; Palmer, Todd S.; Brunner, Thomas A.; Vega, Richard M.

doi:10.1080/23324309.2023.2223410

A Monte Carlo Thermal Radiative Transfer Solver with Nonlinear Elimination

Journal Article · Mon Jul 03 00:00:00 EDT 2023 · Journal of Computational and Theoretical Transport

DOI:https://doi.org/10.1080/23324309.2023.2223410· OSTI ID:1994024

Lam, Adam Q. ^[1]; Palmer, Todd S. ^[2]; Brunner, Thomas A. ^[1]; Vega, Richard M. ^[1]

Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Oregon State University, Corvallis, OR (United States)

Here in this paper, we present a new Monte Carlo method for solving the thermal radiative transfer (TRT) equations via the method of nonlinear elimination (NLEM). This method is inspired by the previous application of NLEM to thermal radiation diffusion. Our approach, called diffusion accelerated Implicit Monte Carlo (DAIMC), is a hybrid technique which combines a Monte Carlo method for solving a purely-absorbing transport equation and a diffusion solution that accounts for effective scattering, or absorption–reemission. The method aims to improve the implicitness of the traditional implicit Monte Carlo (IMC) method. We derive DAIMC generally for 3D Cartesian geometries, but in this paper, we present results and analysis in 1D slab geometry. These preliminary results indicate that DAIMC implementations may provide more accurate and robust TRT solutions than IMC in certain 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:: 1994024

Report Number(s):: LLNL-JRNL-845840; 1067653

Journal Information:: Journal of Computational and Theoretical Transport, Journal Name: Journal of Computational and Theoretical Transport Journal Issue: 3 Vol. 52; ISSN 2332-4309

Publisher:: Taylor and FrancisCopyright Statement

Country of Publication:: United States

Language:: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Monte Carlo method
hybrid transport-diffusion
nonlinear elimination
thermal radiative transfer

A Monte Carlo Thermal Radiative Transfer Solver with Nonlinear Elimination

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