First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Realizability-preserving splitting scheme and numerical analysis

• Numerical analysis for minimum-entropy moment models with piece-wise linear (continuous and discontinuous) basis functions. Second-order realizability-preserving splitting scheme in space time. Easy implementation of “realizability limiter”. Models prove to be qualitatively competitive full-moment (but much cheaper the implementation). We derive a second-order kinetic equations. apply this first-order continuous ( HFM n ) discontinuous PMM slab three-dimensional geometry derived [55] as well classical M N models. provide extensive numerical our code show that new class can compete or even outperform reasonable test cases.