Development of two-dimensional numerical wave tank based on lattice Boltzmann method

A 2-D numerical wave tank (NWT) has been developed using a Lattice Boltzmann Method (LBM) and a multi-relaxation-time (MRT) collision model coupled to an algebraic volume of fluid (VOF) scheme for free surface tracking. An external force based on the momentum source function was used to generate waves, and a zone of porous media used to absorb waves. Numerical simulations of progressive and standing waves showed that the NWT generated stable wave trains in agreement with analytical solutions and could eliminate re-reflection waves. The NWT was used to simulate two problems encountered in practice, namely: wave transformation over a submerged breakwater and wave runup on a sea dike. The numerical predictions were in good agreement with measured data.