A New Boundary Scheme for BGK Model
Provides a more accurate boundary scheme for the BGK model, improving numerical simulations in computational fluid dynamics.
The paper proposes a new boundary condition scheme for the BGK model achieving second-order accuracy, with numerical solutions closely matching analytical solutions and outperforming existing extrapolation schemes at small grid sizes.
In this paper, we proposed a new boundary condition scheme for the BGK model which has second order accuracy and can be developed to higher accuracy. Numerical tests show that the numerical solutions of the BGK model applied to the new boundary scheme have great agreement with analytical solutions. It is also found that the numerical accuracy of the present schemes is much better than that of the original extrapolation schemes proposed by Guo et al at small grid.