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Lattice Boltzmann Simulations Of Discontinuous Flows

Author

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  • JIAN GUO ZHOU

    (Department of Engineering, University of Liverpool, Liverpool L69 3GQ, United Kingdom)

Abstract

The lattice Boltzmann model for the shallow water equations (LABSWE) is applied to the simulation of certain discontinuous flows. Curved boundaries are treated efficiently, using either the elastic-collision scheme for slip and semi-slip boundary conditions or the bounce-back scheme for no-slip conditions. The force term is accurately determined by means of the centred scheme. Simulations are presented of a small pulse-like perturbation of the still water surface, a dam break, and a surge wave interaction with a circular cylinder. The results agree well with predictions from alternative high-resolution Riemann solver based methods, demonstrating the capability of LABSWE to predict shallow water flows containing discontinuities.

Suggested Citation

  • Jian Guo Zhou, 2007. "Lattice Boltzmann Simulations Of Discontinuous Flows," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-14.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:01:n:s0129183107010280
    DOI: 10.1142/S0129183107010280
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    References listed on IDEAS

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    1. Antonio Caparrós Ruiz & Mª. Lucía Navarro Gómez, 2002. "Factors affecting quits and layoffs in Spain," Economic Working Papers at Centro de Estudios Andaluces E2002/16, Centro de Estudios Andaluces.
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