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TVD–MUSCL Finite Volume Model Using in Tidal Bore Simulation Research

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Abstract

Most of the numerical methods used for shallow water flow calculation are not applicable to the numerical calculation of the discontinuous flows. High precision resolution is a difficult problem in simulate discontinuous flows. This paper adopts Roe scheme approximate Riemann solver to deal with normal vector through interface, apply TVD–MUSCL scheme and Hancock scheme to increase the precision of space and time to second order using in tidal bore simulation. In order to verify the accuracy of the model and simulate the ability of discontinuous flows, some numerical examples are simulated in this paper, the results of simulation and other scholars’ results are compared to check the applicability and accuracy of the model for discontinuous flow. With the generalized river course tidal bore experiment to prove the model has the ability to capturing shock wave and better calculative precision.

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Acknowledgements

The authors acknowledge the Natural Science Foundation of the Inner Mongolia Autonomous Region (2017BS0105).

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Authors and Affiliations

  1. College of Physics and Electronic Information, Inner Mongolia University for the Nationalities, Tongliao, China

    Dawei Sun

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  1. Dawei Sun
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Correspondence to Dawei Sun.

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Sun, D. TVD–MUSCL Finite Volume Model Using in Tidal Bore Simulation Research. Wireless Pers Commun 102, 1751–1761 (2018). https://doi.org/10.1007/s11277-017-5233-9

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  • DOI: https://doi.org/10.1007/s11277-017-5233-9

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