Rohmi Julia Purbasari, Agus Suryanto, Syaiful Anam
The Lattice Boltzmann Method (LBM) is an alternative numerical method based on the kinetic theory that has gained its popularity due to its simplicity, easy implementation, and capability to solve problems with simple and complex geometry. Although LBM has been successfully applied to various hydrodynamical problems, there is little literature on applying the LBM to free surface problems. In this paper, the free surface lattice Boltzmann method is used to solve two-dimensional dam-break problems. A typical volume-of-fluid method is incorporated into the LBM to track the movement of the free surface. The fluxes between cells are calculated by their mass exchange, i.e., by considering their distribution functions. To take into account the turbulence of the flow and to ensure the stability of the model, the Smagorinsky sub-grid model is incorporated into the LBM. Three cases of dam-break flows are studied, namely, dam breaks over a dry bed, a wet bed, and a solid obstacle. Our numerical simulations are very much in line with the existing experimental measurements. © 2018 Author(s).
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University, Jalan-Veteran-Malang-East-Java, Indonesia
