dorsal/arxiv
View SchemaEfficient kinetic method for fluid simulation beyond the Navier-Stokes equation
| Authors | Raoyang Zhang, Xiaowen Shan, Hudong Chen |
|---|---|
| Categories | |
| ArXiv ID | physics/0604191 |
| URL | https://arxiv.org/abs/physics/0604191 |
| DOI | 10.1103/PhysRevE.74.046703 |
Abstract
We present a further theoretical extension to the kinetic theory based formulation of the lattice Boltzmann method of Shan et al (2006). In addition to the higher order projection of the equilibrium distribution function and a sufficiently accurate Gauss-Hermite quadrature in the original formulation, a new regularization procedure is introduced in this paper. This procedure ensures a consistent order of accuracy control over the non-equilibrium contributions in the Galerkin sense. Using this formulation, we construct a specific lattice Boltzmann model that accurately incorporates up to the third order hydrodynamic moments. Numerical evidences demonstrate that the extended model overcomes some major defects existed in the conventionally known lattice Boltzmann models, so that fluid flows at finite Knudsen number (Kn) can be more quantitatively simulated. Results from force-driven Poiseuille flow simulations predict the Knudsen's minimum and the asymptotic behavior of flow flux at large Kn.
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"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"
},
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