{
  "id": "2407.03325",
  "version": "v1",
  "published": "2024-04-30T15:05:12.000Z",
  "updated": "2024-04-30T15:05:12.000Z",
  "title": "On the accuracy and efficiency of reduced order models: towards real-world applications",
  "authors": [
    "Pierfrancesco Siena",
    "Paquale Claudio Africa",
    "Michele Girfoglio",
    "Gianluigi Rozza"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "This chapter provides an extended overview about Reduced Order Models (ROMs), with a focus on their features in terms of efficiency and accuracy. In particular, the aim is to browse the more common ROM frameworks, considering both intrusive and data-driven approaches. We present the validation of such techniques against several test cases. The first one is an academic benchmark, the thermal block problem, where a Poisson equation is considered. Here a classic intrusive ROM framework based on a Galerkin projection scheme is employed. The second and third test cases come from real-world applications, the one related to the investigation of the blood flow patterns in a patient specific coronary arteries configuration where the Navier Stokes equations are addressed and the other one concerning the granulation process within pharmaceutical industry where a fluid-particle system is considered. Here we employ two data-driven ROM approaches showing a very relevant trade-off between accuracy and efficiency. In the last part of the contribution, two novel technological platforms, ARGOS and ATLAS, are presented. They are designed to provide a user-friendly access to data-driven models for real-time predictions for complex biomedical and industrial problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-30T15:05:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reduced order models",
      "real-world applications",
      "efficiency",
      "patient specific coronary arteries configuration",
      "rom framework"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}