Analysis of a Monte Carlo method for nonlinear radiative transfer
Journal of Computational Physics
Journal of Computational Physics
Two-dimensional time dependent Riemann solvers for neutron transport
Journal of Computational Physics
On solutions to the Pn equations for thermal radiative transfer
Journal of Computational Physics
Semi-implicit time integration for PN thermal radiative transfer
Journal of Computational Physics
Journal of Computational Physics
Second-order time evolution of PN equations for radiation transport
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
We present a novel application of filters to the spherical harmonics (P"N) expansion for radiative transfer problems in the high-energy-density regime. The filter we use is based on non-oscillatory spherical splines and a filter strength chosen to (i) preserve the equilibrium diffusion limit and (ii) vanish as the expansion order tends to infinity. Our implementation is based on modified equations that are derived by applying the filter after every time step in a simple first-order time integration scheme. The method is readily applied to existing codes that solve the P"N equations. Numerical results demonstrate that the solution to the filtered P"N equations are (i) more robust and less oscillatory than standard P"N solutions and (ii) more accurate than discrete ordinates solutions of comparable order. In particular, the filtered P"7 solution demonstrates comparable accuracy to an implicit Monte Carlo solution for a benchmark hohlraum problem in 2D Cartesian geometry.