[PDF][PDF] High-order non-conservative simulation of hyperbolic moment models in partially-conservative form

J Koellermeier, M Castro - East Asian J. Appl. Math, 2021 - researchgate.net
In this paper the first dedicated study on high-order non-conservative numerical schemes for
hyperbolic moment models is presented. The implementation uses a new formulation that …

Discontinuous Galerkin solutions of the Boltzmann equation: spectral collocation and moment methods

RL Van Heyningen - 2021 - dspace.mit.edu
This thesis explores the ability of the discontinuous Galerkin (DG) method to numerically
solve the Boltzmann equation. Constructing numerical methods for this equation is a …

Diagram notation for the derivation of hyperbolic moment systems

J Koellermeier, Y Fan - Communications in Mathematical Sciences, 2020 - intlpress.com
We propose a diagram notation for the derivation of hyperbolic moment models for the
Boltzmann equation that yields a better understanding of the resulting moment systems. So …

Aggregation and disaggregation of active particles on the unit sphere with time-dependent frequencies.

D Kim, J Kim - … & Continuous Dynamical Systems-Series B, 2022 - search.ebscohost.com
We introduce an active swarming model on the sphere which contains additional temporal
dynamics for the natural frequency, inspired from the recently introduced modified Kuramoto …

Globally hyperbolic moment model of arbitrary order for the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting collision

Y Kuang, H Tang - Science China Mathematics, 2021 - Springer
This paper continues to derive the globally hyperbolic moment model of arbitrary order for
the three-dimensional special relativistic Boltzmann equation with the Anderson-Witting …