{
  "annotation_id": "2005b4e3-2a5e-4299-bbdd-a6d62c62a255",
  "date_created": "2026-03-02T18:01:07.152000Z",
  "date_modified": "2026-03-02T18:01:07.152000Z",
  "file_hash": "43a822120399ac9d28286f024e010abc0fb0d7cba5fd9966489f7159734b0a6f",
  "private": false,
  "record": {
    "abstract": "We present a further theoretical extension to the kinetic theory based\nformulation of the lattice Boltzmann method of Shan et al (2006). In addition\nto the higher order projection of the equilibrium distribution function and a\nsufficiently accurate Gauss-Hermite quadrature in the original formulation, a\nnew regularization procedure is introduced in this paper. This procedure\nensures a consistent order of accuracy control over the non-equilibrium\ncontributions in the Galerkin sense. Using this formulation, we construct a\nspecific lattice Boltzmann model that accurately incorporates up to the third\norder hydrodynamic moments. Numerical evidences demonstrate that the extended\nmodel overcomes some major defects existed in the conventionally known lattice\nBoltzmann models, so that fluid flows at finite Knudsen number (Kn) can be more\nquantitatively simulated. Results from force-driven Poiseuille flow simulations\npredict the Knudsen\u0027s minimum and the asymptotic behavior of flow flux at large\nKn.",
    "arxiv_id": "physics/0604191",
    "authors": [
      "Raoyang Zhang",
      "Xiaowen Shan",
      "Hudong Chen"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.74.046703",
    "title": "Efficient kinetic method for fluid simulation beyond the Navier-Stokes   equation",
    "url": "https://arxiv.org/abs/physics/0604191"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3a39513f-1f2b-4199-96f2-1ca76fd23ae0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}