IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v415y2014icp315-332.html
   My bibliography  Save this article

An investigation on the body force modeling in a lattice Boltzmann BGK simulation of generalized Newtonian fluids

Author

Listed:
  • Farnoush, Somayeh
  • Manzari, Mehrdad T.

Abstract

Body force modeling is studied in the Generalized Newtonian (GN) fluid flow simulation using a single relaxation time lattice Boltzmann (LB) method. First, in a shear thickening Poiseuille flow, the necessity for studying body force modeling in the LB method is explained. Then, a parametric unified framework is constructed for the first time which is composed of a parametric LB model and its associated macroscopic dual equations in both steady state and transient simulations. This unified framework is used to compare the macroscopic behavior of different forcing models. Besides, using this unified framework, a new forcing model for steady state simulations is devised. Finally, by solving a number of test cases it is shown that numerical results confirm the theoretical arguments presented in this paper.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:415:y:2014:i:c:p:315-332
    DOI: 10.1016/j.physa.2014.08.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711400692X
    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.2014.08.014?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.

    References listed on IDEAS

    as
    1. Rui Du & Baochang Shi, 2006. "A Novel Scheme For Force Term In The Lattice Bgk Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(07), pages 945-958.
    2. 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.
    3. Farnoush, Somayeh & Manzari, Mehrdad T., 2014. "Comparison of boundary slip for two variants of immersed boundary method in lattice Boltzmann framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 200-216.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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:415:y:2014:i:c:p:315-332. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.