4 papers · 1 filter
A fast scheme for the homogeneous Boltzmann equation based on lifting and tensor train approximation
Kun Huang, Yingda Cheng, Irene M. Gamba
We propose a fast deterministic scheme for the space-homogeneous Boltzmann equation that exploits the low-rank structure of the velocity distribution. This paper consists of two in…
The consecutive lifting-projection flow as an approximation of Boltzmann and Landau flow
Kun Huang
We introduce the consecutive lifting-projection (LP) flow as a novel approximation framework for the spatially homogeneous Boltzmann and Landau equations. The key idea is to lift t…
A structure-preserving multiscale solver for particle-wave interaction in non-uniform magnetized plasmas
Kun Huang, Irene M. Gamba, Chi-Wang Shu
Particle-wave interaction is of fundamental interest in plasma physics, especially in the study of runaway electrons in magnetic confinement fusion. Analogous to the concept of pho…
A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation
Kun Huang, Andrés Galindo-Olarte, Rodrigo González-Hernández +1
In this work, we introduce a structure-preserving local discontinuous Galerkin (LDG) method \cite{cockburn1998local} for solving the non-local non-linear Fokker-Planck-Landau (FPL)…