In this paper, we propose a regularized lattice Boltzmann model for one-dimensional nonlinear scalar hyperbolic conservation laws which can convert to convection–diffusion equation through introducing a dissipation term. Then, a rigorous Chapman–Enskog analysis is conducted to show that this models can recover the correct governing equation. Finally, we also conduct some simulations to test the model and find that the numerical results not only agree with the exact solutions but also exhibits superior performance in solving hyperbolic conserv...
