IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v390y2011i6p1085-1095.html
   My bibliography  Save this article

A study on the inclusion of body forces in the lattice Boltzmann BGK equation to recover steady-state hydrodynamics

Author

Listed:
  • Silva, Goncalo
  • Semiao, Viriato

Abstract

When the lattice Boltzmann (LB) method is used to solve hydrodynamic problems containing a body force term varying in space and/or time, its modelling at the mesoscopic scale must be verified in terms of consistency in order to avoid the appearance of non-hydrodynamic error terms at the macroscopic scale. In the present work it is shown that the modelling of spatially varying steady body force terms in the LB equation must be different from the time-dependent case, when a steady-state flow solution is sought. For that, the Chapman–Enskog analysis is used to derive the LB body force model for the LB BGK equations in a steady-state flow problem. The theoretical findings are supported by numerical tests performed on two different 2D steady-state laminar flows driven by spatially varying body forces with known analytical solutions.

Suggested Citation

  • Silva, Goncalo & Semiao, Viriato, 2011. "A study on the inclusion of body forces in the lattice Boltzmann BGK equation to recover steady-state hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 1085-1095.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:6:p:1085-1095
    DOI: 10.1016/j.physa.2010.11.037
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110010010
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2010.11.037?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 search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mapelli, Vinícius Pessoa & Czelusniak, Luiz Eduardo & Guzella, Matheus dos Santos & Cabezas-Gómez, Luben, 2022. "On the force scheme influence on pseudopotential method coexistence curve," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    2. Farnoush, Somayeh & Manzari, Mehrdad T., 2014. "An investigation on the body force modeling in a lattice Boltzmann BGK simulation of generalized Newtonian fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 315-332.
    3. Krivovichev, Gerasim V., 2019. "Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 25-41.

    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:eee:phsmap:v:390:y:2011:i:6:p:1085-1095. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.