First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory
Schneider Florian, Leibner Tobias
Research article (journal) | Peer reviewedAbstract
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.
Details about the publication
Journal: Journal of Computational Physics (J. Comput. Phys.)
Volume: 416
Status: Published
Release year: 2020
Language in which the publication is written: English
Keywords: Moment models; Minimum entropy; Kinetic transport equation; Continuous Galerkin; Discontinuous Galerkin; Realizability
Authors from the University of Münster
| Leibner, Tobias | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) |
Promotionen, aus denen die Publikation resultiert
| Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition Candidate: Leibner, Tobias | Supervisors: Ohlberger, Mario Period of time: until 13/04/2021 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster |