IDEAS home Printed from https://ideas.repec.org/a/wly/jnlamp/v2016y2016i1n7528625.html

Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids

Author

Listed:
  • Sudi Mungkasi

Abstract

This paper presents a numerical entropy production (NEP) scheme for two‐dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptive mesh refinement or coarsening in solving the shallow water equations using a finite volume method. Numerical simulations show that NEP is successful to be a refinement/coarsening indicator in the adaptive mesh finite volume method, as the method refines the mesh or grids around nonsmooth regions and coarsens them around smooth regions.

Suggested Citation

  • Sudi Mungkasi, 2016. "Adaptive Finite Volume Method for the Shallow Water Equations on Triangular Grids," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:7528625
    DOI: 10.1155/2016/7528625
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2016/7528625
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/7528625?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
    ---><---

    References listed on IDEAS

    as
    1. Szu-Hsien Peng, 2012. "1D and 2D Numerical Modeling for Solving Dam-Break Flow Problems Using Finite Volume Method," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, April.
    2. Szu-Hsien Peng, 2012. "1D and 2D Numerical Modeling for Solving Dam‐Break Flow Problems Using Finite Volume Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Hamid Reza Vosoughifar & Azam Dolatshah & Seyed Kazem Sadat Shokouhi, 2013. "Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-12, March.
    4. Yilmaz Akyildiz, 1987. "The shallow water equations: conservation laws and symplectic geometry," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-6, January.
    5. Hamid Reza Vosoughifar & Azam Dolatshah & Seyed Kazem Sadat Shokouhi, 2013. "Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    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. Ampol Duangpan & Ratinan Boonklurb & Lalita Apisornpanich & Phiraphat Sutthimat, 2025. "Finite Integration Method with Chebyshev Expansion for Shallow Water Equations over Variable Topography," Mathematics, MDPI, vol. 13(15), pages 1-30, August.
    2. Jihui Fan & Artemis Motamedi & Majid Galoie, 2021. "Impact of downstream lakes on dam break wave attenuation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 106(1), pages 595-612, March.
    3. Zaher Mundher Yaseen & Ameen Mohammed Salih Ameen & Mohammed Suleman Aldlemy & Mumtaz Ali & Haitham Abdulmohsin Afan & Senlin Zhu & Ahmed Mohammed Sami Al-Janabi & Nadhir Al-Ansari & Tiyasha Tiyasha &, 2020. "State-of-the Art-Powerhouse, Dam Structure, and Turbine Operation and Vibrations," Sustainability, MDPI, vol. 12(4), pages 1-40, February.

    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:wly:jnlamp:v:2016:y:2016:i:1:n:7528625. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/3197 .

    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.