The theory and numerical modelling of radiation processes and radiative transfer play a key
role in astrophysics: they provide the link between the physical properties of an object and …

Using modern high-energy-density facilities it is straightforward to produce radiative shock
waves in which the transfer of energy by radiation controls the hydrodynamic structure of the …

This study describes a semi-analytic solution of planar radiative shock waves with a grey
nonequilibrium diffusion radiation model. The solution may be used to verify radiation …

ABSTRACT We present Variable Eddington Tensor (VET)-closed Transport on Adaptive
Meshes (VETTAM), a new algorithm to solve the equations of radiation hydrodynamics …

Similarity solutions to the nonlinear non-equilibrium Marshak wave problem with a time
dependent radiation driving source are presented. The radiation transfer model used is the …

Astrophysical fluid flow studies often encompass a wide range of physical processes to
account for the complexity of the system under consideration. In addition to gravity, a proper …

We present in this article a positive finite volume method for diffusion equation on deformed
meshes. This method is mainly inspired from, and uses auxiliary unknowns at the nodes of …

Analytical solutions to the nonlinear radiation diffusion equation with an instantaneous point
source for a non-homogeneous medium with a power law spatial density profile are …

Exact one-dimensional solutions to the equations of fluid dynamics are derived in the Pr→∞
and Pr→ 0 limits (where Pr is the Prandtl number). The solutions are analogous to the Pr …

We present a second order self-consistent implicit/explicit (methods that use the combination
of implicit and explicit discretizations are often referred to as IMEX (implicit/explicit) methods …