{
  "annotation_id": "465cb4bb-203d-413f-bd8c-ecfad4f819d4",
  "date_created": "2026-03-02T18:01:03.792000Z",
  "date_modified": "2026-03-02T18:01:03.792000Z",
  "file_hash": "e5e709fd40a0d4cb51f8782d20d87c0493ccff05745f35af139025ad20c55d2f",
  "private": false,
  "record": {
    "abstract": "A finite-element algorithm for computing free-surface flows driven by\narbitrary body forces is presented. The algorithm is primarily designed for the\nmicrofluidic parameter range where (i) the Reynolds number is small and (ii)\nforce-driven pressure and flow fields compete with the surface tension for the\nshape of a stationary free surface. The free surface shape is represented by\nthe boundaries of finite elements that move according to the stress applied by\nthe adjacent fluid. Additionally, the surface tends to minimize its free energy\nand by that adapts its curvature to balance the normal stress at the surface.\nThe numerical approach consists of the iteration of two alternating steps: The\nsolution of a fluidic problem in a prescribed domain with slip boundary\nconditions at the free surface and a consecutive update of the domain driven by\nthe previously determined pressure and velocity fields. ...",
    "arxiv_id": "physics/0511217",
    "authors": [
      "M. Schindler",
      "P. Talkner",
      "P. Hanggi"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1063/1.2361291",
    "journal_ref": "Physics of Fluids 18, 103303 (2006)",
    "title": "Computing stationary free-surface shapes in microfluidics",
    "url": "https://arxiv.org/abs/physics/0511217"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec271e41-ea37-4fa3-bd28-c4ab4d75630c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}