Abstract
Using a novel particle coupling method (PCM), the one-dimensional (1D) and two-dimensional (2D) hydrodynamic lattice Boltzmann models (LBM) are coupled at the mesoscopic level. The kinetic vector of particles at coupling boundary lattices is calculated according to kinetic particle velocity and particle distributions of both models at certain directions. Taking advantage of the coupling boundary treatment, the fluid continuity and momentum conservation are satisfied. Using the PCM, the coupled numerical model is accurate at both microscopic and macroscopic levels, achieving better efficiency performance compared to the full 2D LBM model. Furthermore, the derived equations mathematically illustrate the interaction mechanism of cross-dimensional shallow water modeling.
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