Numerical simulation of two dimensional free-surface movement using Lattice Boltzmann Method

In this paper an algorithm about how to simulate two dimensional dam breaking with lattice Boltzmann method (LBM) is presented. LBM considers a typical volume element of fluid to be composed of a collection of particles that represented by a particle velocity distribution function for each fluid component at each grid point. We use the modified Lattice Boltzmann Method for incompressible fluid. We will represent detailed information on single phase flow which considers only the water instead of both air and water. Interface treatment and conservation of mass are the most important things in simulating free surface where the Interface is treated by mass exchange with the water region. We consider free surface boundary condition on the interface and bounce back boundary condition for the treatment of solid obstacles.