High-order solution methods for grey discrete ordinates thermal radiative transfer

Maginot, Peter G.; Ragusa, Jean C.; Morel, Jim E.

doi:10.1016/j.jcp.2016.09.055

Title: High-order solution methods for grey discrete ordinates thermal radiative transfer

Journal Article · 29 September 2016 · Journal of Computational Physics

DOI: https://doi.org/10.1016/j.jcp.2016.09.055 · OSTI ID:1334732

^[1]; Ragusa, Jean C. ^[2];

^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Texas A & M Univ., College Station, TX (United States)

This paper presents a solution methodology for solving the grey radiative transfer equations that is both spatially and temporally more accurate than the canonical radiative transfer solution technique of linear discontinuous finite element discretization in space with implicit Euler integration in time. We solve the grey radiative transfer equations by fully converging the nonlinear temperature dependence of the material specific heat, material opacities, and Planck function. The grey radiative transfer equations are discretized in space using arbitrary-order self-lumping discontinuous finite elements and integrated in time with arbitrary-order diagonally implicit Runge–Kutta time integration techniques. Iterative convergence of the radiation equation is accelerated using a modified interior penalty diffusion operator to precondition the full discrete ordinates transport operator.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1334732

Report Number(s):: LLNL-JRNL--703665

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 327; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Title: High-order solution methods for grey discrete ordinates thermal radiative transfer

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