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 · 19h
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 · 19h
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 · 19h
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 · 19h
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 · 19h
Threats to energy democratization: Examining the structure of decision-making processes and new spheres of procedural (in)justice in energy transitions
In parallel with recent community-led action, published research within energy democracy [1,2] and energy justice [3,4] has proliferated over the past decade. Though nascent, advancements are being made rapidly in both sets of literature, which in...
Publication · 22h