适用于宽速域湍流流动的新型混合对称超松弛隐式时间格式评估  

Assessment of a new hybrid-SSOR implicit temporal scheme for turbulent flows across a wide range of Mach numbers

作　　者：刘健 陈坚强 张子佩 杨玉峰 肖志祥 Jian Liu;Jianqiang Chen;Zipei Zhang;Yufeng Yang;Zhixiang Xiao(State Key Laboratory of Aerodynamics,Mianyang 621000,China;China Aerodynamics Research and Development Center,Mianyang 621000,China;School of Aerospace Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]State Key Laboratory of Aerodynamics,Mianyang 621000,China [2]China Aerodynamics Research and Development Center,Mianyang 621000,China [3]School of Aerospace Engineering,Tsinghua University,Beijing 100084,China

出　　处：《Acta Mechanica Sinica》2023年第6期46-55,共10页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11902334,91952302,and 91852113);the National Numerical Wind Tunnel Project;the National Key Research and Development Program of China(Grant No.2019YFA0405300);the National Key Project(Grant No.GJXM92579).

摘　　要：N-S方程的时间离散格式的收敛效率和数值稳定性对工程湍流计算的意义十分重要.通过对原始标量型和矩阵型对称超松弛隐式时间格式的分析,提出了一种基于当地马赫数的混合型对称超松弛隐式时间格式.该格式兼顾了标量型和矩阵型对称超松弛格式的优点,被应用于从低速到高超声速的多个湍流流动的计算.通过计算结果的对比表明,新的混合型对称超松弛格式在较宽速域的湍流流动模拟中,由于其高的计算效率和优异的数值稳定性,表现出了最好的收敛特性.该新型混合对称超松弛格式将有望广泛应用于工程湍流流动的计算.The convergent efficiency and numerical stability of temporal discretization schemes for Navier-Stokes(N-S)equations are significant for engineering turbulent flow simulations.Through analysis of the original scalar and matrix versions of the symmetric successive over relaxation(SSOR)implicit temporal schemes,a novel scalar-matrix hybrid-SSOR scheme based on the local Mach number,which combines the advantages of both the scalar and matrix SSOR,is proposed and implemented in several flow simulations from low to hypersonic speeds.According to the results,the new hybrid-SSOR presents a few advantages and shows the best convergent performance for turbulent flows across a wide range of Mach numbers,mainly because of its high efficiency and excellent numerical stability.The hybrid-SSOR is expected to be widely implemented in engineering flow simulations.

关 键 词：湍流流动 数值稳定性 矩阵型 收敛效率 收敛特性 湍流计算 计算效率 混合型 

分 类 号：O3[理学—力学]