We discuss the numerical solution of nonlinear integro-differential equation for probability a divergent neutron chain in stationary system (i.e., initiation (POI)). follow development described Bell’s classic paper on stochastic theory transport. As noted by Bell, linearized form this resembles linear adjoint transport equation. A matrix formalism discretized steady state (or forward) slab geo...

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...

A fully automated and fast pneumatic transport system for short-time activation analysis was recently developed. It is suitable for small nuclear research reactors or laboratories that are using neutron generators and other neutron sources. It is equipped with a programmable logic controller, software package, and 12 devices to facilitate optimal analytical procedures. 550 ms were only necessar...

background: in high-intensity, mixed and pulsed neutron fields the use of spectrometers or area monitors with active detectors is useless in these conditions neutron measuring devices must have a passive detector. here a passive neutron area monitor with cr39 track detector was designed and the response was calculated. materials and methods: the response of a passive neutron area monitor with c...

We describe an asymptotic analysis of the coupled nonlinear system of equations describing time-dependent three-dimensional monoenergetic neutron transport and isotopic depletion and radioactive decay. The classic asymptotic diffusion scaling of Larsen and Keller [1], along with a consistent small scaling of the terms describing the radioactive decay of isotopes, is applied to this coupled nonl...