A modified regularized lattice Boltzmann model for convection–diffusion equation with a source term

Abstract In this work, a modified regularized lattice Boltzmann model is constructed for convection–diffusion equation (CDE) with a source term. By modifying the nonequilibrium part of the total distribution function, the present model can recover the target CDE with no deviation term through the Chapman-Enskog analysis. We then test the present model by considering a CDE with a constant velocity. Based on the numerical results, the present model is found to have better numerical stability and accuracy over the traditional Bhatnagar-Gross-Krook model, and we also note that the present model has a comparable numerical accuracy in contrast to the classical multiple-relaxation-time model.