耦合不可压流场输运方程的格子Boltzmann方法研究

Lattice Boltzmann method for an advective transport equation coupled with incompressible flow field

基于格子Boltzmann方法,提出了求解耦合不可压缩流场输运方程的一种改进数值方法.该方法使用格子Boltzmann方法求解流场方程,并根据流场格子模型的密度分布函数构建了输运方程的二阶离散格式.通过二维平板通道流场输运系统验证了该方法的有效性.数值结果表明,该方法可以有效地减少计算过程中出现的非物理耗散,并克服了传统模型所需巨大存储量的缺点.

In this paper, an improved numerical scheme based on the lattice BGK method （LBM） is proposed for solving the advective transport equation coupled with an incompressible flow. We utilize the LBM to solve the equations of flow field and build a second order discrete scheme for the advective transport equations using the probability density function of LBM. Meanwhile, the validity of the method is verified by an advective transport in a planar channel flow. Numerical results show that the method reduces the numerical dissipation efficiently and it involves consistently smaller memory requirements compared with previous studies.