Lattice Boltzmann model for a class of convection-diffusion equations with variable coefficients

In this work, a lattice Boltzmann model for a class of n-dimensional convectiondiffusion equations with variable coefficients is proposed through introducing an auxiliary distribution function. The model can exactly recover the convectiondiffusion equation without any assumptions. A detailed numerical study on several types of convectiondiffusion equations is performed to validate the present model, and the results show that the accuracy of the present model is better than previous models.

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