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