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1D and 2D Numerical Modeling for Solving Dam‐Break Flow Problems Using Finite Volume Method

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  • Szu-Hsien Peng

Abstract

The purpose of this study is to model the flow movement in an idealized dam‐break configuration. One‐dimensional and two‐dimensional motion of a shallow flow over a rigid inclined bed is considered. The resulting shallow water equations are solved by finite volumes using the Roe and HLL schemes. At first, the one‐dimensional model is considered in the development process. With conservative finite volume method, splitting is applied to manage the combination of hyperbolic term and source term of the shallow water equation and then to promote 1D to 2D. The simulations are validated by the comparison with flume experiments. Unsteady dam‐break flow movement is found to be reasonably well captured by the model. The proposed concept could be further developed to the numerical calculation of non‐Newtonian fluid or multilayers fluid flow.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:489269
    DOI: 10.1155/2012/489269
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    References listed on IDEAS

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    1. Tony W. H. Sheu & Chenpeng Chiao & Chinlong Huang, 2011. "Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-16, February.
    2. Tony W. H. Sheu & Chenpeng Chiao & Chinlong Huang, 2011. "Development of a Particle Interaction Kernel Function in MPS Method for Simulating Incompressible Free Surface Flow," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
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    Cited by:

    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. 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).

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