ABSTRACT In 1971, Fleck and Cummings derived a system of equations to enable robust
Monte Carlo simulations of time-dependent, thermal radiative transfer problems. Denoted …

Abstract The implicit Monte Carlo (IMC) method can exhibit teleportation error in problems
with strong coupling between radiation and material. Source tilting method is a technique to …

This work generalizes the discrete implicit Monte Carlo (DIMC) method for modeling the
radiative transfer equation from a gray treatment to a frequency-dependent one. The classic …

This paper proposes a unified gas-kinetic particle (UGKP) method for the frequency-
dependent photon transport process. The photon transport is a typical multiscale process …

We present a new algorithm for radiative transfer—based on a statistical Monte Carlo
approach—that does not suffer from teleportation effects, on the one hand, and yields …

Abstract The iterative Quasi–Monte Carlo (iQMC) method is a recently proposed method for
neutron transport simulations. iQMC can be viewed as a hybrid between deterministic …

Recently, iterative Quasi-Monte Carlo (iQMC) was introduced as a new method of neutron
transport which combines deterministic iterative methods and quasi-Monte Carlo simulation …

Abstract The Implicit Monte Carlo (IMC) method is widely used for solving the nonlinear
thermal radiative transport problems. This method often exhibits teleportation error in …

Abstract Thermal Radiative Transfer (TRT) is the dominant energy transfer mechanism in
high-energy density physics with applications in inertial confinement fusion and …

The multi-frequency radiation transport equation (RTE) system models the photon transport
and the energy exchange process between the background material and different frequency …