Neutron angular flux reconstruction in slab geometry using multigroup discrete ordinates transport models

Reconstruction of the Neutron Flux in a Slab Reactor

In this electronic article we use the one-dimensional multigroup neutron diffusion equation to reconstruct the neutron flux in a slab reactor from the nuclear parameters of the reactor, boundary and symmetry condition, initial flux and . The diffusion equation was solved analytically for one single homogeneous fuel region and for two regions considering fuel and reflector. To validate the metho...

On discontinuous Galerkin and discrete ordinates approximations for neutron transport equation and the critical eigenvalue

Nonlinear Diffusion Acceleration for the Multigroup Transport Equation Discretized with SN and Continuous FEM with Rattlesnake

Nonlinear diffusion acceleration (NDA) can improve the performance of a neutron transport solver significantly especially for the multigroup eigenvalue problems. The high-order transport equation and the transport-corrected low-order diffusion equation form a nonlinear system in NDA, which can be solved via a Picard iteration. The consistency of the correction of the low-order equation is impor...

Multilevel NDA Methods for Solving Multigroup Eigenvalue Neutron Transport Problems

The nonlinear diffusion acceleration (NDA) method is an efficient and flexible transport iterative scheme for solving reactor-physics problems. This paper presents a fast iterative algorithm for solving multigroup neutron transport eigenvalue problems in one-dimensional slab geometry. The proposed method is defined by a multilevel system of equations that includes multigroup and effective onegr...

Radiation Treatment Planning Using Discrete Ordinates Codes

As oncologists are able to treat smaller tumors with more complex external beams, the ability to optimize radiation treatment planning (RTP) becomes very important. Historically, Monte Carlo codes have been used for this type of work since they are equipped to accurately treat charged particles. However, these codes take a long time to run to obtain statistically accurate results. Discrete ordi...