基于Fluent UDF的 γ-Re_(θt) 转捩模型高超声速修正初步研究  

Preliminary Study on Hypersonic Correction ofγ-Re_(θt) Transition Model Based on Fluent UDF

作　　者：杜育锋 曹咏弘[1] 周玲 李孟委[1] DU Yufeng;CAO Yonghong;ZHOU Ling;LI Mengwei(School of Aerospace Engineering,North University of China,Taiyuan 030051,China;School Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China)

机构地区：[1]中北大学航空宇航学院,山西太原030051 [2]北京理工大学宇航学院,北京100081

出　　处：《中北大学学报（自然科学版）》2023年第3期200-208,共9页Journal of North University of China(Natural Science Edition)

摘　　要：为了提高γ-Re_(θt)转捩模型在高超声速转捩预测中的精度,在γ-Re_(θt)转捩模型中引入了马赫数和雷诺数来反映高超声速流动的可压缩效应,并基于响应面法重新构造了涡雷诺数与动量厚度雷诺数之间的拟合关系式,使得γ-Re_(θt)转捩模型可适用于高超声速流动。考虑到实际应用,利用用户自定义函数(UDF)功能对商业软件Fluent中的γ-Re_(θt)转捩模型的Reθc和F length函数进行了修正,并采用高超声速平板和钝锥对修正的γ-Re_(θt)转捩模型进行了检验和验证。与原始γ-Re_(θt)转捩模型以及实验数据相比,改进的γ-Re_(θt)转捩模型可以成功地预测由边界层转捩引起的斯坦顿数的变化,并且对转捩起始位置的预测精度较原始模型有明显改善。In order to improve the accuracy ofγ-Re_(θt) transition model in hypersonic transition prediction,Mach number and Reynolds number were introduced into theγ-Re_(θt) transition model to reflect the compressible effect of hypersonic flow,and based on response surface methodology,the fitting relationship between vortex Reynolds number and momentum thickness Reynolds number was reconstructed,so that theγ-Re_(θt) transition model can be applied to hypersonic flow.Considering the practical application,the user-defined function(UDF)was used to modify the Reθc and F length functions of theγ-Re_(θt) transition model in commercial software Fluent,and the modifiedγ-Re_(θt) transition model was tested and verified by using hypersonic plate and blunt cone.Compared with the originalγ-Re_(θt) transition model and experimental data,the improvedγ-Re_(θt) transition model can successfully predict the change of stanton number caused by boundary layer transition,and the prediction accuracy of transition starting position is significantly improved compared with the original model.

关 键 词：高超声速 边界层转捩 γ-Re_(θt)转捩模型 FLUENT 响应面法 

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]