Jeffery D. Densmore

TL;DR: Previously developed DDMC techniques are extended in several ways that improve the accuracy and utility of DDMC for nonlinear, time-dependent, radiative-transfer calculations and treats the interface between optically thick and optically thin regions with an improved method that can produce accurate results regardless of the angular distribution of the incident Monte Carlo particles.

TL;DR: A semi-implicit, linear discontinuous Galerkin method for the spherical harmonics (P"N) equations for thermal radiative transfer in planar geometry that is novel in that the material coupling terms are treated implicitly and the streaming operator is treated explicitly using a second-order accurate Runge-Kutta method.

TL;DR: This paper presents an extension of DDMC for frequency-dependent radiative transfer based on a frequency-integrated diffusion equation for frequencies below a specified threshold, as optical thickness is typically a decreasing function of frequency.

TL;DR: In this paper, the authors apply the same analysis to the Fleck-Cummings, Carter-Forest, and N'kaoua Monte Carlo approximations for grey (frequency-independent) radiative transfer.

TL;DR: In this paper, the authors presented an efficient numerical algorithm for solving the time-dependent grey thermal radiative transfer (TRT) equations, which utilizes the first two angular moments of the TRT equations (Quasi-diffusion) together with the material temperature equation to form a nonlinear low-order (LO) system.