SLAU格式在大涡模拟方法中的应用

摘要

In this paper, a finite volume cell- centered method is used to solve the equations of the large-eddy simulation,a new SLAU scheme is suceesssfully utilized in the large- eddy simulation,which generally rely on a Fifth- order weighted essentially non- oscillatory scheme.Time advancement is the LU- SGS method.A new linear dynamic SGS model which derived by using stochastic analysis is applied.Three numerical examples will be seen in this paper,which are the simulations of airfoil NACA0012、airfoil NA-CA4412 and cylinder.They validate the feasibility of the application of the SLAU scheme in large- eddy simulations from three different aspects.The results of simulations demonstrate that the numerical methods developed by this paper is appropriate.Indirectly, this paper also checks the effects of numerical simulations of the new dynamic SGS model.%采用格心格式的有限体积法求解三维大涡模拟控制方程,成功地将最新改进的SLAU格式推广到大涡数值模拟方法中.SLAU格式的空间重构方式采用五阶WENO格式,时间推进采用LU-SGS隐式时间推进.湍流模式为最新提出的基于随机分析的动态亚格子模型.计算了圆柱绕流、NACA4412翼型绕流、NACA0012翼型绕流三个算例,分别从可压缩较大迎角翼型绕流、可压缩跨音速翼型绕流以及不可压缩低马赫数圆柱绕流三个方面验证了将SLAU格式应用到湍流大涡数值模拟计算中的可行性.结果表明,结合SLAU格式的大涡模拟方法可以达到较好的数值模拟效果,同时间接检验了基于随枕分析的动态亚格子模型的数值模拟效果.