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Sparse entropic quadrature for moment equations

  • Georgii Oblapenko
  • Michael Herty
  • Manuel Torrilhon
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Abstract

In the present work, we study the properties of the sparse entropic quadrature method, a recently proposed method for the closure of systems of moment equations in rarefied gas dynamics. We prove the properties of the method regarding its well-posedness, hyperbolicity, and stability for first-order spatial convection schemes. We apply the method to two model rarefied gas dynamics problems and compare the results with those given by a discrete velocity method and show that it is capable of reproducing rarefied gas effects whilst having significantly fewer degrees of freedom than the discrete velocity method.

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Cite

BibTeXRIS
BibTeX
@misc{oblapenko2026sparse,
  title = {{Sparse entropic quadrature for moment equations}},
  author = {Georgii Oblapenko and Michael Herty and Manuel Torrilhon},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29843},
  eprint = {2609.29843},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29843},
}
RIS
TY  - UNPB
TI  - Sparse entropic quadrature for moment equations
AU  - Georgii Oblapenko
AU  - Michael Herty
AU  - Manuel Torrilhon
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29843
UR  - https://arxiv.org/abs/2609.29843
AB  - In the present work, we study the properties of the sparse entropic quadrature method, a recently proposed method for the closure of systems of moment equations in rarefied gas dynamics. We prove the properties of the method regarding its well-posedness, hyperbolicity, and stability for first-order spatial convection schemes. We apply the method to two model rarefied gas dynamics problems and compare the results with those given by a discrete velocity method and show that it is capable of reproducing rarefied gas effects whilst having significantly fewer degrees of freedom than the discrete velocity method.
ER  -