{
  "abstract": "One-Fluid Two-Temperature Euler (OFTT-Euler) equations are used for modeling non-equilibrium hydrodynamics and form a system of nonlinear hyperbolic partial differential equations with non-conservative products. The model decomposed the total pressure into two scalar components: one for electrons and one for ions. In this work, we design entropy-stable finite difference numerical schemes for the model. This is achieved by introducing a novel reformulation of the equations, ensuring that the new non-conservative terms do not contribute to the entropy evolution. For this novel reformulation of the equations, we design higher-order entropy-conservative numerical schemes by using Tadmor's relation for the conservative part and higher-order central differences for the non-conservative parts. Finally, we design the entropy-dissipation terms using the entropy-scaled right eigenvectors of the conservative part, thereby ensuring entropy stability for the entire system at the semi-discrete level. We present several test cases in one and two dimensions to demonstrate the accuracy and entropy stability of the proposed schemes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.15616",
  "author_total": 2,
  "authors": [
    {
      "name": "Chetan Singh"
    },
    {
      "name": "Harish Kumar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0krc4nh0w7qcj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.15616",
  "fulltext_url": null,
  "id": "0krc4nh0w7qcj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.15616",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7161538100",
  "pdf_url": "https://arxiv.org/pdf/2605.15616",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0krc4nh0w7qcj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2605.15616",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.15616"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics",
  "title_text": "Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/0krc4nh0w7qcj",
  "venue": "arXiv",
  "versions": []
}