基于高阶和高效格式的悬停旋翼可压缩无粘绕流的计算  

Compressible inviscid flow computation on a hovering rotor based on high order accuracy and high efficiency with schemes

作　　者：徐丽[1,2] 张开军[2] 吴泉军[2] 

机构地区：[1]上海交通大学数学系,上海200240 [2]上海电力学院数理学院,上海200090

出　　处：《计算力学学报》2015年第4期523-529,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(61203006);上海市博士后科研资助计划(BR0710004)资助项目

摘　　要：发展了一种基于高精度和高效格式计算悬停旋翼复杂绕流的隐式有限体积方法。控制方程为Euler方程,其中对流项通量的左右状态量采用五阶加权基本无振荡(WENO)格式重构,时间推进应用隐式LU-SGS算法,为进一步加速收敛,采用三层V循环多重网格松弛方法。考虑到多重网格方法的思想以及五阶WENO格式涉及6个网格单元,建议仅在最细网格上使用WENO格式。计算结果表明本文方法能有效捕捉激波,对尾迹也有较高分辨率,基于隐式LU-SGS算法的多重网格方法能有效提高计算效率。An implicit finite volume method with high-order accuracy and great efficiency is developed to capture complex flow phenomena on a helicopter rotor in hover.A fifth-order Weighted Essentially Non-oscillatory （WENO）is used to reconstruct the left and right states of convective flux of Euler governing equations.To improve efficiency,the use of a class of lower-upper symmetric Gauss-Seidel （LU-SGS） implicit algorithm in conj unction with three-level V-cycle multigrid relaxation schemes is explored.Con-sidering building idea of multigrid and fifth-order WENO scheme involving six cells,it is proposed that WENO scheme is only executed in the finest grid.The results reveal that the present scheme has great capabilities in capturing shock and wake.The multigrid scheme with the implicit LU-SGS method can substantially improve computational efficiency.

关 键 词：旋翼 可压缩流动 EULER方程 高精度格式 高效方法 

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]