Metraipolis › archive › dc_5b039ccb60d2

A general synthetic iterative scheme with high-order spatial discretization for rarefied gas mixture flows — arXiv:2610.04880

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.04880
License (as archived): CC0-1.0
Archived: 2026-10-06T14:01:07.153Z
SHA-256 of the archived text: ef098e4ddc9c64c5ba66d58e78acf1fd882fa64256cb4c6ffc54e91df6f770cf
Stable URL of this page: https://metraipolis.com/documento/dc_5b039ccb60d2

How to cite

A general synthetic iterative scheme with high-order spatial discretization for rarefied gas mixture flows — arXiv:2610.04880 — arXiv (en), https://arxiv.org/abs/2610.04880 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_5b039ccb60d2 (Metraipolis archive dc_5b039ccb60d2, sha256 ef098e4ddc9c64c5ba66d58e78acf1fd882fa64256cb4c6ffc54e91df6f770cf)

BibTeX

@misc{dc5b039ccb60d2,
  title = {A general synthetic iterative scheme with high-order spatial discretization for rarefied gas mixture flows — arXiv:2610.04880},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.04880},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_5b039ccb60d2; sha256 ef098e4ddc9c64c5ba66d58e78acf1fd882fa64256cb4c6ffc54e91df6f770cf},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.04880. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We develop a high-order discontinuous Galerkin formulation of the general synthetic iterative scheme (GSIS) for steady rarefied gas mixture flows. The resulting GSIS-DG discretizes the mesoscopic kinetic equations for monatomic gas mixtures and the macroscopic synthetic equations with the same polynomial degree and solves them alternately. The kinetic solution supplies nonequilibrium corrections to the stress and heat flux, while the synthetic equations accelerate the convergence toward the steady state. Asymptotic analysis shows that GSIS-DG recovers the continuum limit without requiring the spatial mesh to resolve the molecular mean free path. Numerical results over a wide range of Knudsen numbers demonstrate high-order spatial accuracy and rapid steady-state convergence, with more than an order-of-magnitude reduction in computational cost relative to conventional kinetic iteration in the near-continuum regime. Comparisons with second-order finite-volume GSIS further demonstrate that GSIS-DG achieves comparable or better accuracy on coarser physical meshes with fewer total spatial degrees of freedom.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.NA, nuovi lavori del giorno).
Categorie arXiv: Numerical Analysis (math.NA) ; Computational Physics (physics.comp-ph).
Pagina del lavoro: https://arxiv.org/abs/2610.04880 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-06T12:21:32.332Z dalla pagina https://arxiv.org/list/math.NA/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).