Kershaw closures for linear transport equations in slab geometry I: model derivation
It provides a practical alternative to computationally expensive moment models for researchers working on kinetic equations in slab geometry.
The paper introduces a new class of moment models for linear kinetic equations in slab geometry that are computationally cheap and preserve realizability, achieving approximation quality similar to expensive minimum-entropy models.
This paper provides a new class of moment models for linear kinetic equations in slab geometry. These models can be evaluated cheaply while preserving the important realizability property, that is the fact that the underlying closure is non-negative. Several comparisons with the (expensive) state-of-the-art minimum-entropy models are made, showing the similarity in approximation quality of the two classes.