{
  "annotation_id": "c72e66c2-a162-4033-83ff-a8c4c42f6ef2",
  "date_created": "2026-03-02T18:01:14.522000Z",
  "date_modified": "2026-03-02T18:01:14.522000Z",
  "file_hash": "af105a5fcbe1c7f723034bdd875e825fe9626475e9bd8a2b66daa5ee8d792be7",
  "private": false,
  "record": {
    "abstract": "In this paper, three-dimensional (3D) multi-relaxation time (MRT)\nlattice-Boltzmann (LB) models for multiphase flow are presented. In contrast to\nthe Bhatnagar-Gross-Krook (BGK) model, a widely employed kinetic model, in MRT\nmodels the rates of relaxation processes owing to collisions of particle\npopulations may be independently adjusted. As a result, the MRT models offer a\nsignificant improvement in numerical stability of the LB method for simulating\nfluids with lower viscosities. We show through the Chapman-Enskog multiscale\nanalysis that the continuum limit behavior of 3D MRT LB models corresponds to\nthat of the macroscopic dynamical equations for multiphase flow. We extend the\n3D MRT LB models developed to represent multiphase flow with reduced\ncompressibility effects. The multiphase models are evaluated by verifying the\nLaplace-Young relation for static drops and the frequency of oscillations of\ndrops. The results show satisfactory agreement with available data and\nsignificant gains in numerical stability.",
    "arxiv_id": "physics/0611016",
    "authors": [
      "Kannan N. Premnath",
      "John Abraham"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "doi": "10.1016/j.jcp.2006.10.023",
    "title": "Three-Dimensional Multi-Relaxation Time (MRT) Lattice-Boltzmann Models   for Multiphase Flow",
    "url": "https://arxiv.org/abs/physics/0611016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b7c79da-debd-46c1-91c5-c6b7c1ed58a6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}