LATTICE BOLTZMANN SIMULATIONS OF DISCONTINUOUS FLOWS

Jian Guo Zhou ()
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Jian Guo Zhou: Department of Engineering, University of Liverpool, Liverpool L69 3GQ, United Kingdom

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 01, 1-14

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.

Keywords: Discontinuous flows; dam break; surge; lattice Boltzmann method; shallow water equations; LABSWE (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1142/S0129183107010280

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