针对叶轮机流场分析的不同Spalart-Allmaras湍流模型评价  

Evaluation of Different Spalart-Allmaras Turbulence Models for Turbomachinery Flow Field Analysis

作　　者：张倩 黄秀全[1,2] 王丁喜[1,2] ZHANG Qian;HUANG Xiu-quan;WANG Ding-xi(School of Power and Energy,Northwestern Polytechnical University,Xi’an 710072,China;Key Laboratory of Aeroengine Internal Flows,Northwestern Polytechnical University,Xi’an 710129,China)

机构地区：[1]西北工业大学动力与能源学院,陕西西安710072 [2]西北工业大学航空发动机内流重点实验室,陕西西安710129

出　　处：《推进技术》2022年第4期75-87,共13页Journal of Propulsion Technology

基　　金：国家科技重大专项(2017-Ⅱ-0009-0023)。

摘　　要：Spalart-Allmaras (SA)湍流模型在Reynolds-Average Navier-Stokes (RANS)方程求解中得到了广泛的应用。针对叶轮机数值模拟,国内外学者提出了很多修正的SA模型,但它们之间的对比少有研究。为此,综述了原始的SA (SA-standard),SA-neg,SA-Helicity,SA-Ning及SA-R五种不同SA湍流模型。针对NASA Rotor 67和NASA Rotor 37,考察这五种湍流模型对数值计算稳定性的影响及对叶轮机内部流动细节捕捉的能力。研究表明:SA-standard和SA-neg湍流模型计算结果几乎相同;相比于SA-standard湍流模型,SA-Ning湍流模型计算的压比、效率和堵塞流量均较大;SA-R湍流模型模拟的激波/边界层干涉更严重,分离区域更大,计算的压比小,模型修正效果不理想;SA-Helicity湍流模型不仅能极大地提高计算的压比和流量范围,而且能提高计算的稳定性和失速工况下的计算准确性,但计算的堵塞流量和效率较小。Spalart-Allmaras(SA)turbulence model has been widely used in solving the Reynolds-Averaged Navier-Stokes(RANS)equations. To simulate the flow fields within turbomachines,many variants of SA turbulence models have been proposed,but the comparison between them is rarely conducted. The SA-standard,SA-neg,SA-Helicity,SA-Ning and SA-R turbulence models are reviewed. By taking NASA rotor 67 and NASA rotor 37 as the test vehicles,the influence on the numerical stability and the capability of the five turbulence models to capture the flow details within turbomachines are investigated. It is shown that the results from both SAstandard and SA-neg turbulence models are almost the same. Compared with the SA-standard turbulence model,the SA-Ning turbulence model predicts higher pressure ratio,efficiency and choked mass flow rate. The shockwave/boundary-layer interaction is over-predicted by the SA-R turbulence model and thus the size of separation is larger,the pressure ratio of the compressors calculated by this model is lower,the modification is not satisfactory. The SA-Helicity turbulence model can improve not only the pressure ratio and the range of mass flow rate but also the numerical stability and solution accuracy at a near stall condition. Nevertheless it underestimates the choked mass flow rate and efficiency.

关 键 词：叶轮机 湍流模型 边界层 流场分析 分离 数值模拟 

分 类 号：V231.1[航空宇航科学与技术—航空宇航推进理论与工程]