格子Boltzmann方法(LBM)中边界条件的处理很复杂,在现有的边界条件处理方法中,动力学格式能够精确满足宏观边界条件,但由于要解一个不定方程,必须引入附加假设确保方程非奇异.作为动力学格式和反弹格式的一种扩展,提出一种处理三维任意速度运动边界的统一模型,其中入口速度和固体壁面速度是该模型的特殊情形.给出用于三维15速度的表达式.为了检验该模型,模拟对角顶盖驱动三维空腔流,并将结果与有限差分法计算的结果进行比较,说明所提出的统一模型是合理可行的。
A unified method is proposed to treat 3D moving boundaries at arbitrary velocity as an extension of kinetic format and bounce-back format. Velocities at inlet and on solid wall are special cases of the model. A simplified expression is given in a three dimensional 15-velocity model. Numerical simulation for a diagonally lid-driven three-dimensional cavity flow is performed to verify this scheme. Compared with finite difference method (FDM), the proposed method proves reasonable.