A number of morphodynamic models have been developed to simulate the dynamics of large-scale bedform patterns on the continental shelf. Most of the models are based on linear stability analysis and, therefore, only describe the characteristics of the bedforms at their formation. Apart from studying the principal formation mechanism, the models have take into account various processes (three dimensional flows, sediment sorting, wave stirring, different tidal constituents, etc) to describe the characteristics of the bedforms at specific locations. Exploration of the finite amplitude regime have also been made with simplified models. Future model developments are needed to explore long-term dynamics.