BLU-SGS方法在WCNS高阶精度格式上的数值分析  

Numerical analysis of BLU_SGS method in WCNS high-order scheme

作　　者：王光学[1,2] 张玉伦[2] 王运涛[2] 李松[2] 孟德虹[2] 李伟[2] 

机构地区：[1]国防科技大学航天科学与工程学院,湖南长沙410073 [2]中国空气动力研究与发展中心计算空气动力研究所,四川绵阳621000

出　　处：《空气动力学学报》2015年第6期733-739,共7页Acta Aerodynamica Sinica

基　　金：国家重点基础研究发展计划(2014CB744803)

摘　　要：高阶精度计算方法的收敛效率是目前CFD重要的研究内容之一。应用多块对接结构网格技术,基于雷诺平均的Navier-Stokes方程(RANS)和五阶空间离散精度的显式加权紧致非线性格式(WCNS-E),针对NLR7301两段翼型和Trap Wing梯形翼两个低速算例,重点研究了BLU-SGS迭代方法应用于WCNS-E高阶精度格式上的收敛效率问题。通过与LU-SGS迭代方法收敛效率和计算结果的比较,研究结果表明:BLU-SGS迭代方法的收敛效率明显优于LU-SGS迭代方法;对于收敛的流场,BLU-SGS迭代方法的计算结果与LU-SGS方法的结果基本相同。High-order numerical method is a major hotspot of computational fluid dynamics（CFD）,the convergence efficiency is one of the main subjects in the study of high-order numerical method.In this paper,the block lower-upper symmetric Gauss-Seidel（BLU-SGS）implicit algorithm is applied to the fifth-order explicit Weighted Compact Nonlinear Scheme（WCNS-E）to solve the Reynolds-averaged Navier-Stokes（RANS）equations on multi-block structured grids.Two typical test cases,subsonic flows over the NLR7301two-element airfoil and the threeelement trapezoidal wing,are adopted to investigate the convergence efficiency of the BLU-SGS approach.By comparison with the original lower-upper symmetric Gauss-Setdel（LU-SGS）implicit approach,the numerical results indicate that the efficiency of BLU-SGS is much better than that of LU-SGS in low speed flow and different implicit iterative methods have little influence on aerodynamic character,such as the typical velocity profiles for boundary layer and the distribution of pressure coefficent for two typical test cases.

关 键 词：高阶精度格式 计算效率 隐式时间推进 BLU-SGS WCNS格式 低速流动 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]