Rectangular lattice Boltzmann model for nonlinear convection-diffusion equations.
نویسندگان
چکیده
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.
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عنوان ژورنال:
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
دوره 369 1944 شماره
صفحات -
تاریخ انتشار 2011