摘要
基于外推法的思想,提出了格子Boltzmann方法中的误差计算方法.该方法在粗细两种网格下,采用Filippova提出的分布函数耦合方法推导出误差的计算公式,其主要误差项与格子大小和分布函数中的非平衡态部分成正比.最后用垂直平板障碍绕流作为一个数值计算实例,验证了理论推导与数值试验结果是一致的.
According to the extrapolation technique, the error estimation method of lattice Boltzmann method was proposed. In the coarse and fine meshes, the distribution function coupling method proposed by Filippova is adopted to deduce the error calculation formula. It shows that the main error of lattice Boltzmann method is proportional to the lattice size and the non-equilibrium part of the distribution function. Finally, the proposed error analysis method was validated by the numerical simulation of the flow around a vertical plant obstacle. The numerical results agree well with the theory analysis results.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2006年第6期932-935,941,共5页
Journal of Shanghai Jiaotong University
