Due to its integro-differential nature, deriving schemes for numerically solving the radiative
transfer equation (RTE) is challenging. Most solvers are efficient in specific scenarios …

Radiative transfer calculations in complex three-dimensional domains are plagued by
computational bottlenecks due to the combined cost of resolving spectral, angular, and …

The non-equilibrium aerothermal environment during hypersonic flows is determined by the
interaction between a multitude of disparate physical phenomena with varying characteristic …

Energy discretization of the transport equation is difficult due to numerous strong, narrow
cross-section (XS) resonances. The standard traditional multigroup (MG) method can be …

This article addresses the homogenization of linear Boltzmann equation when the optical
parameters are highly heterogeneous in the energy variable. We employ the method of two …

In this dissertation, we derive and implement a new transport-diffusion hybrid algorithm for
solving thermal radiative transfer (TRT) problems. Using the method of nonlinear elimination …

Resolving the rapid variation in energy in neutron and thermal radiation transport is needed
for the predictive simulation capability in high-energy density physics applications. Energy …

First of all, I would like to warmly thank Anthony Nouy, Mario Ohlberger, and Gianluigi Rozza
for having accepted to review this manuscript, and for providing very valuable feedback. I …