Simulation of Multilayer Shallow Water Fluid Flow Using Lattice Boltzmann Modeling and High Performance Computing

A lattice Boltzmann method (LBM) on high performance computing (HPC) environments for three-dimensional shallow water flow fields is developed. Recently, the LBM has become an attractive numerical method to solve various fluid dynamics phenomena. However, LBM has not been extensively applied to shallow water equations. The shallow water equations have wide applications in ocean and hydraulic engineering which can benefit from the advantages of the LBM. The standard LBM for two dimensional shallow water flows is extended to three dimensional flows by solving the multilayer shallow water equations. LBM is an attractive method for solving the multilayered shallow water equations because the extension to a multilayer formulation is straight forward and all simplicities and advantages of the LBM are retained. The performance of the LBM for the multilayer shallow water equations is investigated and optimized in HPC environments. We numerically demonstrate the applicability of the LBM in three dimensional shallow water flows and the LBM performance using OpenMP.