First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: model derivation and realizability theory
Numerical Analysis
2020-06-24 v3 Numerical Analysis
Analysis of PDEs
Abstract
We provide two new classes of moment models for linear kinetic equations in slab and three-dimensional geometry. They are based on classical finite elements and low-order discontinuous-Galerkin approximations on the unit sphere. We investigate their realizability conditions and other basic properties. Numerical tests show that these models are more efficient than classical full-moment models in a space-homogeneous test, when the analytical solution is not smooth.
Keywords
Cite
@article{arxiv.1902.01218,
title = {First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: model derivation and realizability theory},
author = {Florian Schneider and Tobias Leibner},
journal= {arXiv preprint arXiv:1902.01218},
year = {2020}
}