{
  "annotation_id": "9bfceb2f-5a5b-4754-8614-40311f141f0a",
  "date_created": "2026-03-02T18:01:10.256000Z",
  "date_modified": "2026-03-02T18:01:10.256000Z",
  "file_hash": "96ad3d55da717a1c7ae4650e046eb626e23beb10befd0f2eb91ae84ded86d259",
  "private": false,
  "record": {
    "abstract": "We describe the remapped particle-mesh method, a new mass-conserving method\nfor solving the density equation which is suitable for combining with\nsemi-Lagrangian methods for compressible flow applied to numerical weather\nprediction. In addition to the conservation property, the remapped\nparticle-mesh method is computationally efficient and at least as accurate as\ncurrent semi-Lagrangian methods based on cubic interpolation. We provide\nresults of tests of the method in the plane, results from incorporating the\nadvection method into a semi-Lagrangian method for the rotating shallow-water\nequations in planar geometry, and results from extending the method to the\nsurface of a sphere.",
    "arxiv_id": "physics/0607243",
    "authors": [
      "Colin J. Cotter",
      "Jason Frank",
      "Sebastian Reich"
    ],
    "categories": [
      "physics.ao-ph",
      "physics.flu-dyn"
    ],
    "doi": "10.1002/qj.11",
    "title": "The remapped particle-mesh advection scheme",
    "url": "https://arxiv.org/abs/physics/0607243"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fc39a200-3902-4882-b408-6af564ad1d15",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}