1 citations · 1 across the 6 of their papers we have counts for
6 papers
Neural Operator Surrogates for Two-Dimensional Neutron Flux Estimation
Japan K. Patel, Barry D. Ganapol, Anthony Magliari +2
This work extends our one-dimensional single-sweep neural-operator studies to two dimensions. We consider one-group transport with isotropic scattering. As in the one-dimensional w…
Response Matrix Benchmark for the 1D Transport Equation with Matrix Scaling
B. D. Ganapol, J. K. Patel
The linear 1D transport equation is likely the most solved transport equation in radiative transfer and neutron transport investigations. Nearly every method imaginable has been ap…
1D Poiseuille Plane Channel Flow by Second Order Response Matrix
Barry Ganapol
With increasing miniaturization of diagnostic devices for more effective detection of blood-borne pathogens for example, Poiseuille molecular flow in micro channels has become incr…
Double PN Benchmark Solution for the 1D Monoenergetic Neutron Transport Equation in Plane Geometry
Barry Ganapol
As more and more numerical and analytical solutions to the linear neutron transport equation become available, verification of numerical results is increasingly important. This pre…
A precision benchmark suite for nuclear reactor point kinetics equations via converged accelerated Taylor series (cats)
Barry Ganapol
Extreme benchmarks of ten or more places for the point kinetics equations for time dependent nuclear reactor power transients are rare. Therefore, to establish an extreme benchmark…
numerical caseology by Lagrange interpolation for the 1D neutron transport equation in a slab
Barry Ganapol
Here, we are concerned with a new, highly precise, numerical solution to the 1D neutron transport equation based on Cases analytical singular eigenfunction expansion (SEE). While a…