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

abstract

• 2016 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 RungeKutta 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.

authors

• Morel, Jim
• Ragusa, Jean

published proceedings

• JOURNAL OF COMPUTATIONAL PHYSICS

altmetric score

• 0.25

author list (cited authors)

• Maginot, P. G., Ragusa, J. C., & Morel, J. E.

citation count

• 12

complete list of authors

• Maginot, Peter G||Ragusa, Jean C||Morel, Jim E

publication date

• December 2016

publisher

• Elsevier  Publisher

published in

• Journal of Computational Physics  Journal

keywords

• Discontinuous Finite Element Method
• Discrete Ordinates
• Runge-kutta
• Thermal Radiation Transport

Digital Object Identifier (DOI)

• 10.1016/j.jcp.2016.09.055

start page

• 719

end page

• 746

volume

• 327

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jcp.2016.09.055