论文标题
晶格Boltzmann方法的二阶力方案
Second-order force scheme for lattice Boltzmann method
论文作者
论文摘要
我们提出了基于动力学理论公式的晶格Boltzmann方法的力方案的先验推导。我们表明，以前消除了BGK碰撞模型中后验的离散晶格效应是由于一阶时空离散化引起的，并且对于具有二阶时空离散化的广泛碰撞模型，可以通常消除。特别是，获得了最近开发的光谱多释放时间（SMRT）碰撞模型的力方案并通过数值验证。
We present an a priori derivation of the force scheme for lattice Boltzmann method based on kinetic theoretical formulation. We show that the discrete lattice effect, previously eliminated a posteriori in BGK collision model, is due to first-order space-time discretization and can be eliminated generically for a wide range of collision models with second-order space-time discretization. Particularly, the force scheme for the recently developed spectral multiple-relaxation-time (SMRT) collision model is obtained and numerically verified.
