The variational nodal method for solving the neutron transport equation has evolved over 40
years. Based on a functional form of the Boltzmann neutron transport equation, the method …

Advanced reactor concepts span the spectrum from heat pipe–cooled microreactors,
through thermal and fast molten-salt reactors, to gas-and salt-cooled pebble bed reactors …

We present here MINARET a deterministic transport solver for nuclear core calculations to
solve the steady state Boltzmann equation. The code follows the multi-group formalism to …

Rattlesnake is the MOOSE [1, 2](Multiphysics Object-Oriented Simulation Environment)
based application for simulating the physics of radiation transport. Radiation transport …

Numerical solutions to the radiative transfer equation are typically computationally
expensive. The large expense arises because the solution has a high dimensionality with …

In this study, we introduce TARS, a neutron transport code based on the discrete-ordinates
discontinuous finite element (SN-DFEM) method, which tackles existing challenges in the …

This paper presents a novel homogenization equivalence technique aiming to
simultaneously leverage the simplicity of the Super Homogenization (SPH) method to …

ARES is a multidimensional parallel discrete ordinates particle transport code with arbitrary
order anisotropic scattering. It can be applied to a wide variety of radiation shielding …

Standard and goal-oriented adaptive mesh refinement (AMR) techniques are presented for
the linear Boltzmann transport equation. A posteriori error estimates are employed to drive …

In this article, we formulate and implement an a priori Reduced-Order Model (ROM) of
neutron transport separated in energy by Proper Generalized Decomposition (PGD) …