Research
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[P24] Solver recommendation for transport problems in slabs using machine learning
ABSTRACT: The use of machine learning algorithms to address classification problems is on the rise in many research areas. The current study is aimed at testing the potential of using such algorithms to auto-select the best solvers for transport p...
Publication · March 28, 2025
[P21] Simplified PN equations for nonclassical transport with isotropic scattering
ABSTRACT: An asymptotic analysis is used to derive a set of diffusion approximations to the nonclassical transport equation with isotropic scattering. These approximations are shown to reduce to the simplified PN equations under the assumption of ...
Publication · March 28, 2025
[P19] The solution of the neutron point kinetics equation with stochastic extension: an analysis of two moments
ABSTRACT: The neutron point kinetics equation, which models the time-dependent behavior of nuclear reactors, is often used to understand the dynamics of nuclear reactor operations. It consists of a system of coupled differential equations that mod...
Publication · March 28, 2025
[P17] On the accuracy of the non-classical transport equation in 1- D random periodic media
ABSTRACT: We present a first numerical investigation of the accuracy of the recently proposed non-classical transport equation. This equation contains an extra independent variable (the path-length s), and models particle transport taking place in...
Publication · March 28, 2025
[P9] Estimating anisotropic diffusion of neutrons near the boundary of a pebble bed random system
ABSTRACT: Due to the arrangement of the pebbles in a Pebble Bed Reactor (PBR) core, if a neutron is located close to a boundary wall, its path length probability distribution function in directions of flight parallel to the wall is significantly d...
Publication · March 28, 2025
[P7] Anisotropic diffusion in model 2-D pebble-bed reactor cores
ABSTRACT: We describe an analysis of neutron transport in a modeled 2-D (transport in a plane) pebble-bed reactor (PBR) core consisting of fuel discs stochastically piled up in a square box. Specifically, we consider the question of whether the fo...
Publication · March 28, 2025
[P6] Particle transport in the 1-D diffusive atomic mix limit
ABSTRACT: A multiple length-scale asymptotic analysis shows that 1-D diffusive heterogeneous-media transport problems are accurately modeled by the atomic mix approximation when the optical widths of the “chunks” of different materials are O(1). (...
Publication · March 28, 2025
[P5] State of the art of particle transport theory in stochastic media
ABSTRACT: In this work we report the state of art of particle transport theory in stochastic media, discussing in detail the derivation of the atomic mix and the Levermore-Pomraning models. We consider time independent stochastic transport in a ra...
Publication · March 28, 2025
[P41] Calculating the expected effective multiplication factor and neutron scalar flux profile in statistically homogeneous random media using a nonclassical model
ABSTRACT: Reliance on low-fidelity models and assessments in nuclear reactor systems can result in overly conservative designs, unbalancing their competitiveness compared to other energy sources. Addressing this challenge toward developing the mo...
Publication · March 28, 2025
F4/80hi Resident Macrophages Contribute to Cisplatin-Induced Renal Fibrosis
Publication · March 28, 2025
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