CAJ | 학술논문

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。
위료장격자파이자만방법（Lattice Boltzmann method）추엄도고뢰낙수류동적수치모의상，문장연구료장대와모의적Smagorinsky모형급기개진적IR모형응용도LBM방법중병발전료LBM-SM모형화LBM-IR모형，기후이정개구동방강류동（Re=1000；10000；100000）화후태계류동（Re=389；1000；10000；100000）위표준진행수치모의여비교。수치결과설명해방법가이응용우고뢰낙수류동적수치모의，병극복료전통LBM방법재모의고뢰낙수류장시회출현비물리진탕적정황。통과분석대비，불부득도료량충모형능구은정계산차불실진적삼수범위，병차인위LBM-IR모형유효삼수적선취범위경위엄범。
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.