结合大涡模拟的格子玻尔兹曼方法模拟高雷诺数流动

为了将格子玻尔兹曼方法（Lattice Boltzmann method）推广到高雷诺数流动的数值模拟上，文章研究了将大涡模拟的Smagorinsky模型及其改进的IR模型应用到LBM方法中并发展了LBM-SM模型和LBM-IR模型，其后以顶盖驱动方腔流动（Re=1000；10000；100000）和后台阶流动（Re=389；1000；10000；100000）为标准进行数值模拟与比较。数值结果说明该方法可以应用于高雷诺数流动的数值模拟，并克服了传统LBM方法在模拟高雷诺数流场时会出现非物理振荡的情况。通过分析对比，不仅得到了两种模型能够稳定计算且不失真的参数范围，并且认为LBM-IR模型有效参数的选取范围更为广泛。

High-Re flow simulation with Lattice Boltzmann method combined with LES

A kind of lattice Boltzmann method (LBM) combined with LES models was proposed. Smagorin-sky (SM) model and improved model Inetial Range (IR) model were used to extend LBM computation scales for high Reynolds number. Simulations are performed for typical cases of high Reynolds number, cavity flow (Re=1 000;10 000;100 000) and back facing step flow (Re=389;1 000;10 000;100 000), and results are compared with benchmark results. The comparison shows that both the LBM-SM and the LBM-IR models behaved well to match the accurate solutions and could conquer the problem of oscillation caused by LBM. The analysis and comparison of the two models illustrate that the LBM-IR model has an advantage of wider area of valid model coefficient.