Adaptive change of basis in entropy-based moment closures for linear kinetic equations

@article{Alldredge2014AdaptiveCO,
  title={Adaptive change of basis in entropy-based moment closures for linear kinetic equations},
  author={G. Alldredge and C. Hauck and D. O'Leary and A. Tits},
  journal={J. Comput. Phys.},
  year={2014},
  volume={258},
  pages={489-508}
}
Entropy-based ( M N ) moment closures for kinetic equations are defined by a constrained optimization problem that must be solved at every point in a space-time mesh, making it important to solve these optimization problems accurately and efficiently. We present a complete and practical numerical algorithm for solving the dual problem in one-dimensional, slab geometries. The closure is only well-defined on the set of moments that are realizable from a positive underlying distribution, and as… Expand
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