63 citations · 357 across the 53 of their papers we have counts for
7 papers · 2 filters
Effective Non-oscillatory Regularized L Finite Elements for Particle Transport Simulations
Weixiong Zheng, Ryan G. McClarren
In this work, we present a novel regularized L (RL) finite element spatial discretization scheme for radiation transport problems. We review the recently developed least-sq…
An Accurate Globally Conservative Subdomain Discontinuous Least-squares Scheme for Solving Neutron Transport Problems
Weixiong Zheng, Ryan G. McClarren, Jim E. Morel
In this work, we present a subdomain discontinuous least-squares (SDLS) scheme for neutronics problems. Least-squares (LS) methods are known to be inaccurate for problems with shar…
Approximate One-Dimensional Models for Monoenergetic Neutral Particle Transport in Ducts with Wall Migration
Arnulfo Gonzalez, Ryan G. McClarren
The problem of monoenergetic neutral particle transport in a duct, where particles travel inside the duct walls, is treated using an approximate one-dimensional model. The one-dime…
Accurate Least-Squares P Scaling based on Problem Optical Thickness for solving Neutron Transport Problems
Weixiong Zheng, Ryan G. McClarren
In this paper, we present an accurate and robust scaling operator based on material optical thickness (OT) for the least-squares spherical harmonics (LSP) method for solving ne…
Adjoint-based Sensitivity Analysis for High-Energy Density Radiaitive Transfer using Flux-Limited Diffusion
Kelli D. Humbird, Ryan G. McClarren
Uncertainty quantification and sensitivity analyses are a vital component for predictive modeling in the sciences and engineering. The adjoint approach to sensitivity analysis requ…
Globally Conservative, Hybrid Self-Adjoint Angular Flux and Least-Squares Method Compatible with Void
Vincent M. Laboure, Ryan G. McClarren, Yaqi Wang
In this paper, we derive a method for the second-order form of the transport equation that is both globally conservative and compatible with voids, using Continuous Finite Element…
Implicit Filtered PN for High-Energy Density Thermal Radiation Transport using Discontinuous Galerkin Finite Elements
Vincent M. Laboure, Ryan G. McClarren, Cory D. Hauck
In this work, we provide a fully-implicit implementation of the time-dependent, filtered spherical harmonics (FPN) equations for non-linear, thermal radiative transfer. We investig…