IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/125128.html
   My bibliography  Save this article

Weighted Essentially Nonoscillatory Method for Two-Dimensional Population Balance Equations in Crystallization

Author

Listed:
  • Chunlei Ruan
  • Kunfeng Liang
  • Xianjie Chang
  • Ling Zhang

Abstract

Population balance equations (PBEs) are the main governing equations to model the processes of crystallization. Two-dimensional PBEs refer to the crystals that grow anisotropically with the change of two internal coordinates. Since the PBEs are hyperbolic equations, it is necessary to build up high resolution schemes to avoid numerical diffusion and numerical dispersion in order to obtain the accurate crystal size distribution (CSD). In this work, a 5th order weighted essentially nonoscillatory (WENO) method is introduced to compute the two-dimensional PBEs. Several numerical benchmark examples from literatures are carried out; it is found that WENO method has higher resolution than HR method which is well established. Therefore, WENO method is recommended in crystallization simulation when the crystal size distributions are sharp and higher accuracy is needed.

Suggested Citation

  • Chunlei Ruan & Kunfeng Liang & Xianjie Chang & Ling Zhang, 2013. "Weighted Essentially Nonoscillatory Method for Two-Dimensional Population Balance Equations in Crystallization," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:125128
    DOI: 10.1155/2013/125128
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/125128.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/125128.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/125128?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
    ---><---

    More about this item

    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:hin:jnlmpe:125128. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.