title: Rectangular lattice Boltzmann model for nonlinear convection-diffusion equations.
abstract: In this paper, a rectangular lattice Boltzmann model is proposed for nonlinear convection-diffusion equations (NCDEs). The model can be used to solve NCDEs with very general form by using a real/complex-valued quadric equilibrium distribution function and relaxation time. Detailed simulations on several examples are performed to validate the model. The numerical results show good agreement with the analytical solutions, and the numerical accuracy is much better than that of the models with a linear equilibrium distribution function.
authors.affiliation: School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.
authors.forename: Jianhua
authors.initials: J
authors.lastname: Lu
authors.forename: Zhenhua
authors.initials: Z
authors.lastname: Chai
authors.forename: Baochang
authors.initials: B
authors.lastname: Shi
authors.forename: Zhaoli
authors.initials: Z
authors.lastname: Guo
authors.forename: Guoxiang
authors.initials: G
authors.lastname: Hou