High-order solution methods for grey discrete ordinates thermal radiative transfer
- Lawrence Livermore National Laboratory, Livermore, CA 94551 (United States)
- Department of Nuclear Engineering, Texas A&M University, College Station, TX 77843 (United States)
This work 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.
- OSTI ID:
- 22622225
- Journal Information:
- Journal of Computational Physics, Vol. 327; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
Fast transform spectral method for Poisson equation and radiative transfer equation in cylindrical coordinate system
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journal | March 2018 |
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