A Conservative Discontinuous Galerkin Algorithm for Particle Kinetics on Smooth Manifolds
This paper presents a novel, conservative discontinuous Galerkin algorithm for simulating particle kinetics on smooth manifolds that utilizes Hamiltonian formulations to exactly conserve density and energy, incorporates a BGK collision operator with an iterative scheme for preserving collisional invariants, and demonstrates its efficacy through various test cases including rotating geometries and shock problems.