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.

在这项工作中，为带有源项的对流扩散方程（CDE）构建了修正的规则化格子Boltzmann模型。通过修改总分布函数的非平衡部分，本模型可以通过Chapman–Enskog分析恢复没有偏差项的目标CDE。然后，我们通过考虑恒定速度的CDE对本模型进行测试。根据数值结果，发现本模型比传统的Bhatnagar–Gross–Krook模型具有更好的数值稳定性和准确性，并且我们还注意到，与经典的多重松弛算法相比，本模型具有相当的数值精度。时间模型。