高阶精度非线性格式WCNS-E-5在二维流动中的应用研究  

Weighted compact high-order nonlinear scheme WCNS-E-5applied to two dimensional flows

作　　者：刘昕[1] 邓小刚[1] 毛枚良[1] 宗文刚[1] 

机构地区：[1]中国空气动力研究与发展中心,四川绵阳621000

出　　处：《空气动力学学报》2004年第2期206-210,共5页Acta Aerodynamica Sinica

摘　　要：本文采用具有5阶精度的加权紧致非线性显式格式(WCNS E 5)对定常与非定常二维流动进行数值模拟,研究表明该格式对各类间断有很好的分辨捕捉能力,而且对强间断如激波的计算,即使在高马赫数与高雷诺数条件下它仍具有很好的收敛性与可靠的计算结果。此外,WCNS E 5在粗网格条件下也体现出优越性。类如WCNS E 5的高精度激波捕捉方法将为以后开展湍流数值模拟工作提供坚实的技术保证。We used the fifth-order accurate weighted compact nonlinear scheme called WCNS-E-5 to simulate several steady and unsteady two-dimensional flows, which include hypersonic flow past a cylinder, two-dimensional Riemann problem, single Mach reflection flow and vortex/shock-wave interaction flow. The solutions show that WCNS-E-5 has the good capability of capturing variant discontinuities. Furthermore, it owns good convergence and reliable computational results in terms of very strong discontinuity like shock wave and high Reynolds numbers. Additionally under the condition of coarse grids, WCNS-E-5 performs superiorly. The high-order accurate scheme of WCNS-E-5 differentiates the complicated flowfields as well as another scheme in dense grids and it is also of significance for WCNS-E-5 to improve the computational efficiency. The results suggest that there is technologically necessary support provided by such high-order accurate shock-capturing method as WCNS-E-5 for the future work in the numerical simulations of turbulence flow.

关 键 词：紧致格式 非线性格式 NAVIER-STOKES方程 EULER方程 二维流动 

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]