IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v25y2014i01ns0129183113400160.html
   My bibliography  Save this article

Gauss Quadratures – The Keystone Of Lattice Boltzmann Models

Author

Listed:
  • BENJAMIN PIAUD

    (HPC – SA, 3 Chemin du Pigeonnier de la Cepière, F – 31100 Toulouse, France)

  • STÉPHANE BLANCO

    (Université de Toulouse, UPS, INPT; GREPHE/Laboratorie Plasma et Conversion d' Energie, UMR 5213, 118 Route de Narbonne, F – 31062 Toulouse Cedex 9, France)

  • RICHARD FOURNIER

    (Université de Toulouse, UPS, INPT; GREPHE/Laboratorie Plasma et Conversion d' Energie, UMR 5213, 118 Route de Narbonne, F – 31062 Toulouse Cedex 9, France)

  • VICTOR EUGEN AMBRUŞ

    (Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, RO – 300223 Timişoara, Romania)

  • VICTOR SOFONEA

    (Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, RO – 300223 Timişoara, Romania)

Abstract

In this paper, we compare two families of Lattice Boltzmann (LB) models derived by means of Gauss quadratures in the momentum space. The first one is theHLB(N;Qx,Qy,Qz)family, derived by using the Cartesian coordinate system and the Gauss–Hermite quadrature. The second one is theSLB(N;K,L,M)family, derived by using the spherical coordinate system and the Gauss–Laguerre, as well as the Gauss–Legendre quadratures. These models order themselves according to the maximum orderNof the moments of the equilibrium distribution function that are exactly recovered. Microfluidics effects (slip velocity, temperature jump, as well as the longitudinal heat flux that is not driven by a temperature gradient) are accurately captured during the simulation of Couette flow for Knudsen number (kn) up to 0.25.

Suggested Citation

  • Benjamin Piaud & Stéphane Blanco & Richard Fournier & Victor Eugen Ambruş & Victor Sofonea, 2014. "Gauss Quadratures – The Keystone Of Lattice Boltzmann Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 1-8.
    • Handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:01:n:s0129183113400160
    DOI: 10.1142/S0129183113400160
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183113400160
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183113400160?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:25:y:2014:i:01:n:s0129183113400160. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.