{
  "abstract": "Embedded software aims to provide the main characteristics of a cell in real time to manage and optimize battery usage. A complete multidimensional model is not tractable with the low computational resources available in-situ. A class of 0D-in-space models is derived from the P2D Doyle-Fuller-Newman system, with additional assumptions about the functions' shape in space, and strongly reduces the complexity while preserving the main characteristics over time. We propose a conservative, positivity-preserving model built from the P2D system based on the statement that the Butler-Volmer source term is constant in each subdomain (anode, separator, cathode). We develop a mathematically rigorous construction that provides the simplified model and design a scheme to solve the system. We highlight that the model guaranties the conservation property together with the positivity of the concentrations. In particular, the diffusion-limited current density that represents the maximum current that can be used while still preserving the positivity of the cation concentration is obtained explicitly.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28121",
  "author_total": 4,
  "authors": [
    {
      "name": "S. Clain"
    },
    {
      "name": "M. C. Lucas"
    },
    {
      "name": "M. T. Malheiro"
    },
    {
      "name": "C. M. Costa"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d70cnj0db1sm9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28121",
  "fulltext_url": null,
  "id": "d70cnj0db1sm9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28121",
  "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",
      "2203|Advanced Battery Technologies Research"
    ]
  ],
  "openalex": "W7214163589",
  "pdf_url": "https://arxiv.org/pdf/2609.28121",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d70cnj0db1sm9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.28121",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28121"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "An efficient 0D-space conservative and positivity preserving battery model",
  "title_text": "An efficient 0D-space conservative and positivity preserving battery model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/d70cnj0db1sm9",
  "venue": "arXiv",
  "versions": []
}