对格子Boltzmann方法提出了一种新的曲面边界条件处理方法。在笛卡尔坐标系中,这种处理方法是现有的格子Boltzmann方法有关边界条件处理与浸入武边界条件的混合.它采用内插值方法计算靠近物理边界的网格点速度。使其保证最低精度为二阶,然后利用格子Boltzmann方法中的边界条件技术得到相应的分布函数。由理论推导和数值计算表明。本文提出的方法比其他方法更稳定且具有二阶精度。
A new curved boundary treatment is proposed for the Lattice Boltzmann method. With Cartesian coordinate, it is a combination of the exising treatment of boundary condition and immersed boundary condition. It adopts an interpolation to evaluate the node velocity near the physical wall, which provides at least secondary-order accuracy both in velocity and distribution fields. Once the node velocity is given, a variety of boundary treatment proposed previously can be applied to these nodes. Numerical test shows that it is more stable and has secondary-order accuracy.