IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v14y2003i09ns0129183103005388.html
   My bibliography  Save this article

Reduction Of Spurious Velocity In Finite Difference Lattice Boltzmann Models For Liquid–Vapor Systems

Author

Listed:
  • ARTUR CRISTEA

    (Laboratory for Numerical Simulation and Parallel Computing in Fluid Mechanics, Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, R – 300223 Timişoara, Romania)

  • VICTOR SOFONEA

    (Laboratory for Numerical Simulation and Parallel Computing in Fluid Mechanics, Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, R – 300223 Timişoara, Romania)

Abstract

The origin of the spurious interface velocity in finite difference lattice Boltzmann models for liquid–vapor systems is related to the first order upwind scheme used to compute the space derivatives in the evolution equations. A correction force term is introduced to eliminate the spurious velocity. The correction term helps to recover sharp interfaces and sets the phase diagram close to the one derived using the Maxwell construction.

Suggested Citation

  • Artur Cristea & Victor Sofonea, 2003. "Reduction Of Spurious Velocity In Finite Difference Lattice Boltzmann Models For Liquid–Vapor Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1251-1266.
  • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:09:n:s0129183103005388
    DOI: 10.1142/S0129183103005388
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183103005388
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0129183103005388?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. Lewandowski, Witold M. & Radziemska, Ewa & Buzuk, Maciej & Bieszk, Henryk, 2000. "Free convection heat transfer and fluid flow above horizontal rectangular plates," Applied Energy, Elsevier, vol. 66(2), pages 177-197, June.
    2. Perez, A.A, 2001. "Comment on “On the multinomial logic model” [Physica A 269 (1999) 9–15]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(3), pages 606-606.
    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. Victor Sofonea & Robert F. Sekerka, 2005. "Diffusivity Of Two-Component Isothermal Finite Difference Lattice Boltzmann Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1075-1090.
    2. Rouhang Chen & Bing Qiu & Chaoying Zhang & Lingjiang Kong & Muren Liu, 2007. "A Study On The Evacuation Of People In A Hall Using The Cellular Automaton Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 359-367.
    3. Bing Qiu & Huili Tan & Chaoying Zhang & Lingjiang Kong & Muren Liu, 2005. "Cellular Automaton Simulation Of The Escaping Pedestrian Flow In Corridor," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 225-235.
    4. Tetsuya Takaishi, 2005. "Simulations Of Financial Markets In A Potts-Like Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(08), pages 1311-1317.
    5. G. R. Jafari & A. Bahraminasab & P. Norouzzadeh, 2007. "Why Does The Standard Garch(1, 1) Model Work Well?," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1223-1230.
    6. Fan Jia & Di Xie, 2011. "Dempster–Shafer Evidence Theory-Based Updating Rule For Continuous Opinions And Discrete Actions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(06), pages 595-606.
    7. J. R. R. Duarte & M. L. Lyra, 2010. "Optimal Directed Current Of A Brownian Motor Under A Non-Gaussian Noise Generated By A Multiplicative Process," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 21(06), pages 757-767.
    8. Naoki Takada & Akio Tomiyama, 2007. "Numerical Simulation Of Isothermal And Thermal Two-Phase Flows Using Phase-Field Modeling," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 536-545.
    9. Ismael Martínez-Martínez & Ricardo López-Ruiz, 2013. "Directed Random Markets: Connectivity Determines Money," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(01), pages 1-14.
    10. Huang, Si-Min & Yang, Minlin, 2013. "Longitudinal fluid flow and heat transfer between an elliptical hollow fiber membrane tube bank used for air humidification," Applied Energy, Elsevier, vol. 112(C), pages 75-82.
    11. Carmen Pellicer-Lostao & Ricardo Lopez-Ruiz, 2011. "Transition From Exponential To Power Law Income Distributions In A Chaotic Market," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 21-33.
    12. Mingfeng He & Hongbo Ruan & Changliang Yu, 2003. "A Predator–Prey Model Based On The Fully Parallel Cellular Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(09), pages 1237-1249.
    13. Yong Rao & Yushan Ni & Chaofeng Liu, 2008. "Flow Effect Around Two Square Cylinders Arranged Side By Side Using Lattice Boltzmann Method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(11), pages 1683-1694.
    14. Amir H. Darooneh, 2005. "Nonlife Insurance Pricing: Statistical Mechanics Viewpoint," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 167-175.
    15. Santosh Ansumali & Shyam Sunder Chikatamarla & Christos Emmanouil Frouzakis & Konstantinos Boulouchos, 2004. "Entropic Lattice Boltzmann Simulation Of The Flow Past Square Cylinder," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 435-445.
    16. Wenguo Weng & Hongyong Yuan & Weicheng Fan & Yuji Hasemi, 2007. "Experimental Validation Of Motor Schema-Based Cellular Automaton Model For Pedestrian Dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(06), pages 927-936.
    17. Kyungsik Kim & Soo Yong Kim & Minho Lee & Myung-Kul Yum, 2006. "Hurst Exponents In Futures Exchange Markets," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(12), pages 1831-1838.
    18. K. Trojan & M. Ausloos & R. Cloots, 2004. "Exponential And Power Law Distribution Of Mass Clusters In A (Magnetic-Like) Deposition Model Of Elongated Grains In 2d Piles," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(08), pages 1121-1141.
    19. A. L. Owczarek & T. Prellberg, 2003. "Monte Carlo Investigation Of Lattice Models Of Polymer Collapse In Five Dimensions," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(05), pages 621-633.
    20. Yuriy Yu. Tarasevich & Elena N. Manzhosova, 2003. "On Site Percolation On The Correlated Simple Cubic Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(10), pages 1405-1412.

    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:14:y:2003:i:09:n:s0129183103005388. 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: 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.