175 citations · 346 across the 31 of their papers we have counts for
7 papers · 1 filter
Multigroup Neutron Transport using a Collision-Based Hybrid Method
Ben Whewell, Ryan G. McClarren, Cory D. Hauck +1
A collision-based hybrid algorithm for the discrete ordinates approximation of the neutron transport equation is extended to the multigroup setting. The algorithm uses discrete ene…
A fast implicit solver for semiconductor models in one space dimension
M. Paul Laiu, Zheng Chen, Cory D. Hauck
Several different approaches are proposed for solving fully implicit discretizations of a simplified Boltzmann-Poisson system with a linear relaxation-type collision kernel. This s…
Realizability-Preserving DG-IMEX Method for the Two-Moment Model of Fermion Transport
Ran Chu, Eirik Endeve, Cory Hauck +1
Building on the framework of Zhang \& Shu \cite{zhangShu_2010a,zhangShu_2010b}, we develop a realizability-preserving method to simulate the transport of particles (fermions) throu…
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…
Bound-Preserving Discontinuous Galerkin Methods for Conservative Phase Space Advection in Curvilinear Coordinates
Eirik Endeve, Cory D. Hauck, Yulong Xing +1
We extend the positivity-preserving method of Zhang & Shu (2010, JCP, 229, 3091-3120) to simulate the advection of neutral particles in phase space using curvilinear coordinates. T…
Adaptive change of basis in entropy-based moment closures for linear kinetic equations
Graham W. Alldredge, Cory D. Hauck, Dianne P. O'Leary +1
Entropy-based (M_N) moment closures for kinetic equations are defined by a constrained optimization problem that must be solved at every point in a space-time mesh, making it impor…
Perturbed, Entropy-Based Closure for Radiative Transfer
Martin Frank, Cory D. Hauck, Edgar Olbrant
We derive a hierarchy of closures based on perturbations of well-known entropy-based closures; we therefore refer to them as perturbed entropy-based models. Our derivation reveals…