Study of the 1D lattice Boltzmann shallow water equation and its coupling to build a canal network

Authors:
Pham van Thang;Bastien Chopard;Laurent Lefèvre;Diemer Anda Ondo;Eduardo Mendes
Affiliations:
Gipsa-lab, 961 rue de la Houille Blanche, BP 46, F - 38402 GRENOBLE Cedex, France;University of Geneva, Battelle Building A, 7 route de Drize, 1227 Carouge, Switzerland;LAGEP, Université Claude Bernard Lyon 1, bít 308G ESCPE-Lyon, 43 bd du 11 Novembre 1918, 69622 Villeurbanne Cedex, France;LCIS, 50 rue Barthélémy de Laffemas, BP54 26902 VALENCE Cedex 09, France;LCIS, 50 rue Barthélémy de Laffemas, BP54 26902 VALENCE Cedex 09, France
Venue:
Journal of Computational Physics
Year:
2010

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Abstract

The D1Q3 lattice Boltzmann (LB) shallow water equation is analyzed in detail and compared with other numerical schemes. Analytical results are derived and used to discuss the accuracy and stability of the model. We show how such D1Q3 LB models for canal reaches may be easily coupled with various hydraulic interconnection structures to build models of complex irrigation networks.