Research
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[P40] P1 synthetic acceleration and convergence analysis for the solution of one-speed nonclassical spectral SN equations in slab geometry
ABSTRACT: In classical transport theory, the distribution of free-path lengths of particles traveling through the media is exponential. However, in certain inhomogeneous media, the locations of scattering centers are spatially correlated, leading...
Publication · 24h
[P39] A “consistent” quasidiffusion method for iteratively solving particle transport problems
ABSTRACT: The “Quasidiffusion” (QD) method is a well-known iterative technique for efficiently solving particle transport problems. Each QD iteration consists of a high-order SN sweep, followed by a low-order “Quasidiffusion” calculation. QD has ...
Publication · 24h
[P38] A linear programming-based methodology to determine the minimal neutron source distribution in subcritical systems
ABSTRACT: In this work, we present a linear programming-based methodology to determine the minimum intensity that a neutron source distribution must have to drive a subcritical system to a prescribed power distribution. The neutron source distrib...
Publication · 24h
[P37] Derivation of a multigroup diffusion equation for nonclassical problems
ABSTRACT: We have derived an asymptotic approximation to the nonclassical energy-dependent transport equation with isotropic scattering. This approximation reduces to the classical multigroup diffusion equation under the assumption of classical t...
Publication · 24h
[P36] Derivation of spherical harmonic approximations to the nonclassical particle transport equation
ABSTRACT: The nonclassical transport equation is used to mathematically model transport problems where the particle flux is not exponentially attenuated. In this paper, we apply the spherical harmonics expansion to the nonclassical formulation to...
Publication · 24h
[P35] An initial study of the convergence rate of Griffin’s pebble bed reactors algorithm
ABSTRACT: This paper presents an initial study of the convergence properties of an iterative algorithm for computing the burnup distribution in a pebble bed reactor (PBR) in its equilibrium core condition. The algorithm is implemented in the Grif...
Publication · 24h
[P34] Using machine learning to unfold neutron spectra wth a passive neutron spectrometer
ABSTRACT: Unfolding neutron spectra is a heavily researched area due to the importance of neutron energy for determining radiation dose received. A novel detection system, the passive neutron spectrometer (PNS), is being investigated for use in e...
Publication · 24h
[P32] The nonclassical simplified P2 and P3 equations with anisotropic scattering
ABSTRACT: In classical transport, the locations of scattering centers (atoms, molecules, etc.) are not spatially correlated, and as a result, the distribution of free path lengths of particles which travel through such media is exponential. Howeve...
Publication · 24h
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