带压缩性修正的离散涡方法在结冰数值模拟中的应用  

Application of Discrete Vortex Method with Compressibility Correction in Numerical Simulation of Ice Accretion

作　　者：周泽堃 周峰 王刚[1] ZHOU Zekun;ZHOU Feng;WANG Gang(School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,China;Shanghai Aircraft Design and Research Institute,Commercial Aircraft Corporation of China,Ltd.,Shanghai 201210,China)

机构地区：[1]西北工业大学航空学院,西安710072 [2]中国商用飞机有限责任公司上海飞机设计研究院,上海201210

出　　处：《航空工程进展》2021年第3期46-54,共9页Advances in Aeronautical Science and Engineering

摘　　要：离散涡方法(DVM)是一种无网格的涡运动算法,适用于解决易产生分离流的非定常问题,将其应用于结冰过程中的流场求解,在有效模拟分离流动的同时能避免冰形尖角对网格质量的影响。但离散涡方法基于不可压N-S方程,无法应用于预测可压缩流动下的结冰过程。本文在离散涡方法的基础上添加普朗特—格劳尔特压缩性修正,进行基于离散涡方法的可压缩流动下的数值模拟,并将其应用于翼型结冰预测;对流场分布、结冰冰形和结冰模型计算过程等仿真结果进行对比和分析。结果表明:引入压缩性修正后的离散涡方法能较好地模拟可压缩流动,与实验值相比,基于该方法得到的结冰数值模拟结果符合良好,对结冰数值模拟在工程上的应用提供了一定的参考。Discrete vortex method(DVM)is a grid-free vortex motion algorithm,which is suitable for solving un⁃steady problems caused by producing easily separate flow.Applying the method to the flow solution in the ice accre⁃tion process can effectively simulate the separate flow,while avoiding the influence of the sharp ice-shaped corner on the grid quality.However,the DVM is based on the incompressible N-S equation,it cannot be applied to pre⁃dict the ice accretion process in a compressible flow.In this paper,Prandtl-Glauert compressibility correction is added on the basis of the discrete vortex method.And the numerical simulation of compressible flow based on the discrete vortex method is carried out and applied to the prediction of airfoil ice accretion.The simulation results of field distribution,ice shape and icing model calculation process are compared and analyzed.The calculation results show that the discrete vortex method with compressibility correction can simulate the compressible flow better.Compared with the experimental value,the icing numerical simulation results obtained based on this method are in good agreement.It provides a certain reference for the application of icing numerical simulation in engineering.

关 键 词：离散涡方法 压缩性修正 结冰数值模拟 翼型 可压缩流动 

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] V321.229