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A lattice Boltzmann model of advection–dispersion problems in one-dimensional (1D) open channel flows is developed for simulation of solute transport and pollutant concentration. The hydrodynamics are calculated based on a previous lattice Boltzmann approach to solving the 1D Saint–Venant equations (LABSVE). The advection–dispersion model is coupled with the LABSVE using the lattice Boltzmann method...
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