Kershaw closures for linear transport equations in slab geometry II:   high-order realizability-preserving discontinuous-Galerkin schemes
  This paper provides a generalization of the realizability-preserving discontinuous-Galerkin scheme for quadrature-based minimum-entropy models to full-moment models of arbitrary order. It is applied to the class of Kershaw closures, which are able to provide a cheap closure of the moment problem. This results in an efficient algorithm for the underlying linear transport equation. The efficiency of high-order methods is demonstrated using numerical convergence tests and non-smooth benchmark problems. 
Florian Schneider
math.NA math.AP physics.comp-ph