A novel lattice Boltzmann model for the coupled viscous Burgers’ equations

In this work, a new lattice Boltzmann model for coupled Burgers’ equations is proposed through selecting proper distribution functions. Unlike the previous models, the present model can exactly recover the coupled equations without any assumptions. A detailed numerical study on several coupled Burgers’ equations is performed to validate the present model, and the results show that the present model not only has a second-order convergence rate in space, but also is more accurate than the previous model.