16 citations · 24 across the 7 of their papers we have counts for
8 papers
Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation
Rylan C. Paye, Dmitriy Y. Anistratov, Jim E. Morel +1
In this paper, new implicit methods with reduced memory are developed for solving the time-dependent Boltzmann transport equation (BTE). One-group transport problems in 1D slab geo…
Proper Orthogonal Decomposition Mode Coefficient Interpolation: A Non-Intrusive Reduced-Order Model for Parametric Reactor Kinetics
Zachary K. Hardy, Jim. E. Morel
In this paper, a non-intrusive reduced-order model (ROM) for parametric reactor kinetics simulations is presented. Time-dependent ROMs are notoriously data intensive and difficult…
Massively Parallel Transport Sweeps on Meshes with Cyclic Dependencies
Jan I C Vermaak, Jean C Ragusa, Jim E Morel
When solving the first-order form of the linear Boltzmann equation, a common misconception is that the matrix-free computational method of ``sweeping the mesh", used in conjunction…
Accelerating PDE-constrained Inverse Solutions with Deep Learning and Reduced Order Models
Sheroze Sheriffdeen, Jean C. Ragusa, Jim E. Morel +2
Inverse problems are pervasive mathematical methods in inferring knowledge from observational and experimental data by leveraging simulations and models. Unlike direct inference me…
Parallel Approximate Ideal Restriction Multigrid for Solving the S Transport Equations
Joshua Hanophy, Ben S. Southworth, Ruipeng Li +2
The computational kernel in solving the transport equations is the parallel sweep, which corresponds to directly inverting a block lower triangular linear system that arises…
Nonlinear Diffusion Acceleration of the Least-Squares Transport Equation in Geometries with Voids
Hans Hammer, Jim Morel, Yaqi Wang
In this paper we show the extension of the Nonlinear-Diffusion Acceleration (NDA) to geometries containing small voids using a weighted least-squares (WLS) high order equation. Eve…
A Weighted Least-Squares Transport Equation Compatible with Source Iteration and Voids
Hans Hammer, Jim Morel, Yaqi Wang
Least-squares (LS) forms of the transport equation can circumvent the void problems of other second order forms, but are almost always non-conservative. Additionally, the standard…
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…