18 citations · 20 across the 10 of their papers we have counts for
10 papers
Implicit Update of the Moment Equations for a Multi-Species, Homogeneous BGK Model
Evan Habbershaw, Cory D. Hauck, Steven M. Wise
A simple iterative approach for solving a set of implicit kinetic moment equations is proposed. This implicit solve is a key component in the IMEX discretization of the multi-speci…
A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions
Evan Habbershaw, Cory D. Hauck, Jingwei Hu +1
A multi-species Fokker-Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumpti…
New Asymptotic Preserving, Hybrid Discontinuous Galerkin Methods the Radiation Transport Equation with Isotropic Scattering and Diffusive Scaling
Cory D. Hauck, Qiwei Sheng, Yulong Xing
Discontinuous Galerkin (DG) methods are widely adopted to discretize the radiation transport equation (RTE) with diffusive scalings. One of the most important advantages of the DG…
Sparse-grid Discontinuous Galerkin Methods for the Vlasov-Poisson-Lenard-Bernstein Model
Stefan Schnake, Coleman Kendrick, Eirik Endeve +6
Sparse-grid methods have recently gained interest in reducing the computational cost of solving high-dimensional kinetic equations. In this paper, we construct adaptive and hybrid…
Asymptotic Relaxation of Moment Equations for a Multi-Species, Homogeneous BGK Model
Evan Habbershaw, Ryan S. Glasby, Jeffrey R. Haack +2
Multi-species BGK models describe the dynamics of rarefied gases with constituent particles of different elements or compounds with potentially non-trivial velocity distributions.…
Numerical analysis of a spherical harmonic discontinuous Galerkin method for scaled radiative transfer equations with isotropic scattering
Qiwei Sheng, Cory Hauck, Yulong Xing
In highly diffusion regimes when the mean free path tends to zero, the radiative transfer equation has an asymptotic behavior which is governed by a diffusion equatio…