Lattice-Boltzmann Model with Sub-Grid-Scale Boundary Conditions

Verberg, R; Ladd, A J. C.

doi:10.1103/PhysRevLett.84.2148

Title: Lattice-Boltzmann Model with Sub-Grid-Scale Boundary Conditions

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Abstract

A lattice-Boltzmann method has been developed to incorporate solid-fluid boundary conditions on length scales less than the grid spacing. By introducing a continuous parameter, specified at each node and representing the fluid volume fraction associated with that node, we obtain second-order accuracy for boundaries at arbitrary positions and orientations with respect to the grid. The method does not require surface normals, and can therefore be applied to irregular geometries such as porous media. The new rules conserve mass and momentum, and reduce to the link bounce-back rule at aligned interfaces. (c) 2000 The American Physical Society.

Authors:: Verberg, R; Ladd, A J. C.

Publication Date:: Mon Mar 06 00:00:00 EST 2000

OSTI Identifier:: 20215644

Resource Type:: Journal Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 84; Journal Issue: 10; Other Information: PBD: 6 Mar 2000; Journal ID: ISSN 0031-9007

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FLOW MODELS; BOLTZMANN EQUATION; BOUNDARY CONDITIONS; LATTICE PARAMETERS; THEORETICAL DATA

Citation Formats


                    Verberg, R, and Ladd, A J. C. Lattice-Boltzmann Model with Sub-Grid-Scale Boundary Conditions.  United States: N. p., 2000. 
        Web.  doi:10.1103/PhysRevLett.84.2148.

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                    Verberg, R, & Ladd, A J. C. Lattice-Boltzmann Model with Sub-Grid-Scale Boundary Conditions.  United States.  https://doi.org/10.1103/PhysRevLett.84.2148

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                    Verberg, R, and Ladd, A J. C. 2000.  
        "Lattice-Boltzmann Model with Sub-Grid-Scale Boundary Conditions".  United States.  https://doi.org/10.1103/PhysRevLett.84.2148.

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@article{osti_20215644,

  title        = {Lattice-Boltzmann Model with Sub-Grid-Scale Boundary Conditions},

  author       = {Verberg, R and Ladd, A J. C.},

  abstractNote = {A lattice-Boltzmann method has been developed to incorporate solid-fluid boundary conditions on length scales less than the grid spacing. By introducing a continuous parameter, specified at each node and representing the fluid volume fraction associated with that node, we obtain second-order accuracy for boundaries at arbitrary positions and orientations with respect to the grid. The method does not require surface normals, and can therefore be applied to irregular geometries such as porous media. The new rules conserve mass and momentum, and reduce to the link bounce-back rule at aligned interfaces. (c) 2000 The American Physical Society.},

  doi          = {10.1103/PhysRevLett.84.2148},

  url          = {https://www.osti.gov/biblio/20215644},
  journal      = {Physical Review Letters},

  issn         = {0031-9007},

  number       = 10,

  volume       = 84,

  place        = {United States},

  year         = {Mon Mar 06 00:00:00 EST 2000},

  month        = {Mon Mar 06 00:00:00 EST 2000}

}

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