Lattice Boltzmann models for two-dimensional coupled Burgers' equations

In this paper, two lattice Boltzmann models for two-dimensional coupled Burgers' equations are proposed through treating the part or all of convection items as the source term, where the spatial gradient can be calculated by the distribution function. The models can exactly recover the Burgers' equations without any assumptions. Some numerical tests are also performed to validate the present models. It is found that the proposed models are more accurate and efficient in solving two-dimensional coupled Burgers' equations.