基于遗传算法及转捩模型的层流翼型优化设计研究

讨论了层流翼型对飞机机翼减阻的重要意义,概述了遗传算法的优化原理及其特点。在基准翼型的基础上,以Hicks—Henne型函数的解析函数线性叠加法来描述翼型。采用遗传算法完成了层流翼型优化设计。计算中采用了转捩模型耦合SST两方程湍流模式,通过求解雷诺平均的N-S方程组模拟了翼型的转捩流动。对计算结果进行了分析,分析表明优化翼型在升力特性、阻力特性方面比基准翼型有很大的提升,达到了优化升阻比的目标。     

Numerical study of separation on the trailing edge of a symmetrical airfoil at a low Reynolds number

This study focuses on the trailing-edge separation of a symmetrical airfoil at a low Rey-nolds number. Finite volume method is adopted to solve the unsteady Reynolds-averaged Navier-Stokes (RANS) equation. Flow of the symmetrical airfoil SD8020 at a low Reynolds number has been simulated. Laminar separation bubble in the flow field of the airfoil is observed and process of unsteady bubble burst and vortex shedding from airfoil surfaces is investigated. The time-dependent lift coefficient is characteristic of periodic fluctuations and the lift curve varies nonlinearly with the attack of angle. Laminar separation occurs on both surfaces of airfoil at small angles of attack. With the increase of angle of attack, laminar separation occurs and then reattaches near the trailing edge on the upper surface of airfoil, which forms laminar separation bubble. When the attack of angle reaches certain value, the laminar separation bubble is unstable and produces two kinds of large scale vortex, i.e. primary vortex and secondary vortex. The periodic processes that include secondary vortex production, motion of secondary vortex and vortex shedding cause fluctuation of the lift coefficient. The periodic time varies with attack of angle. The secondary vortex is relatively stronger than the primary vortex, which means its influence is relatively stronger than the primary vortex.     

基于RANS-LES混合方法的翼型大迎角非定常分离流动研究

使用雷诺平均Navier-Stokes方程-大涡模拟（RANS-LES）混合方法中的延迟分离涡模拟（DDES）方法,模拟了NACA 0015翼型在大迎角下的静态绕流和强迫振荡运动并与实验值进行了比较。在大迎角静态翼型大分离流动模拟中,DDES方法捕获了非定常RANS计算未能获得的机翼背风面的涡脱落现象。在所采用的RANS和DDES模型中,基于剪切应力输运（SST）湍流模型的SST-DDES混合方法给出的时均压力系数分布与实验吻合得最好。在大迎角强迫振荡翼型绕流模拟中,DDES方法得到的非定常气动载荷与实验值吻合得很好,正确地反映了最大迎角处阻力和俯仰力矩的阶跃性突变,而非定常RANS计算则给出了完全错误的趋势。     

压气机静叶栅层流分离泡转捩与角区分离数值模拟与实验

采用γ-Reθ转捩模型对某可控扩散叶型(CDA)平面叶栅全攻角范围进行了三维数值计算，通过对比数值计算结果与叶栅实验吻合较好。在此基础上，分析了进口来流湍流度和雷诺数变化对叶栅表面层流分离、转捩以及角区分离的影响。结果表明:进口湍流度低于5%时，吸力面存在层流分离，当进口湍流度大于5%后，层流分离移除，但转捩会一直存在；随着进口湍流度或雷诺数增加，吸力面和压力面转捩位置均会前移；随着进口湍流度增加，吸力面角区分离会有所减小，雷诺数增加对角区分离的影响不大。      

NS方程中耦合转捩判断的风力机翼型气动力数值模拟

在Reynolds-Averaged Navier-Stokes(RANS)方程计算中耦合Michel经验判据和Chen-Thy-son转捩模型对风力机翼型S809进行计算。由RANS方程求得翼型表面压力分布作为层流边界层方程求解的输入参数,然后使用Michel经验判据分析判断层流边界层的解得到转捩点的位置,使用Chen-Thyson转捩模型得到从层流到湍流的转捩过渡区,这样随着流场的迭代求解,求解器自动更新判断出转捩点位置。对S809翼型进行全湍流和耦合转捩判断的RANS方程计算,可以看到考虑转捩判断后得到的升阻力系数与实验值吻合较好,验证了方法的可行性。     

Aerodynamic shape optimization for alleviating dynamic stall characteristics of helicopter rotor airfoil

In order to alleviate the dynamic stall effects in helicopter rotor, the sequential quadratic programming(SQP) method is employed to optimize the characteristics of airfoil under dynamic stall conditions based on the SC1095 airfoil. The geometry of airfoil is parameterized by the class-shape-transformation(CST) method, and the C-topology body-fitted mesh is then automatically generated around the airfoil by solving the Poisson equations. Based on the grid generation technology, the unsteady Reynolds-averaged Navier-Stokes(RANS) equations are chosen as the governing equations for predicting airfoil flow field and the highly-efficient implicit scheme of lower–upper symmetric Gauss–Seidel(LU-SGS) is adopted for temporal discretization. To capture the dynamic stall phenomenon of the rotor more accurately, the Spalart–Allmaras turbulence model is employed to close the RANS equations. The optimized airfoil with a larger leading edge radius and camber is obtained. The leading edge vortex and trailing edge separation of the optimized airfoil under unsteady conditions are obviously weakened, and the dynamic stall characteristics of optimized airfoil at different Mach numbers, reduced frequencies and angles of attack are also obviously improved compared with the baseline SC1095 airfoil. It is demonstrated that the optimized method is effective and the optimized airfoil is suitable as the helicopter rotor airfoil.     

Study on effects of thickness on airfoil-stall at low Reynolds numbers by cusp-catastrophic model based on GA(W)-1 airfoil

The phenomena of an airfoil stall present the behaviors of catastrophe and hysteresis at low Reynolds numbers. Numerical simulation results of two-dimensional airfoil GA(W)-1 show that the width of the hysteresis loop of airfoil stall will gradually decrease and even disappear with the decrease of thickness ratio. These nonlinear characteristics are in accordance with the topological features of the cusp catastrophic model. According to the topological invariant principle, a novel topological mapping method is developed to establish the mapping relationship between cusp catastrophic model and stall characteristics of the airfoil, then the effect of thickness ratio on airfoil stall is successfully described quantitatively by cusp catastrophic model. Further, based on the established topological mapping relationship, combined with the mean flow field of the airfoil stall, potential function approach of cusp catastrophic model is first introduced to interpret the catastrophe and hysteresis of the airfoil stall, and it is found that as the thickness ratio decreases, the system's maximal potential energy gradually disappears, and the short separation bubble at the leading edge of the airfoil changes to long separation bubble, so the airfoil stall changes from a bistable system to a monostable system.     

薄翼失速翼型前缘分离泡对失速特性的影响

DES方法结合了RANS(Reynolds-averaged Navier-Stokes)和LES(Large Eddy Simulation approaches)的优点。在近壁面它体现为RANS模型的特点而在远离物面处又起到LES的亚格子模型的特性。论文应用DES(Detached-EddySimulation)方法讨论了影响薄翼失速的分离泡对翼型的升力特性影响。     

不同雷诺数下翼型气动特性及层流分离现象演化

低雷诺数下空气黏性效应突出,翼型表面普遍存在层流分离现象,相比常规雷诺数情况气动特性显著恶化。采用带预处理的Roe方法求解非定常可压缩Navier-Stokes方程的数值模拟技术和低雷诺数低湍流度风洞油流显示试验技术,对FX63-137翼型不同雷诺数下气动特性和流动结构展开深入研究。通过风洞油流显示试验可以清晰获得低雷诺数层流分离流动的两道油流汇集线。数值模拟结果表明其分别为时均化主分离线和二次分离线,两种结果定性定量均吻合较好,证明了本文的研究方法有效可靠;雷诺数从500 000降至20 000,翼型气动特性和层流分离流动结构均发生显著的变化,伴随阻力系数剧增和升力系数剧降,时均化流动结构从附体至出现经典的长层流分离泡,并最终演化为后缘层流分离泡,相应的两种分离泡的非定常流动结构也存在显著差异;对于阻力系数和升力系数而言,存在不同的临界雷诺数,因为导致阻力系数剧增的机理在于经典长层流分离泡的产生使翼型压差阻力大增,而造成升力系数剧降的主要原因在于后缘层流分离泡使得等效翼型后部弯度减小;非定常结果显示正是由于翼型表面漩涡周期性的生成与脱落,才造成了低雷诺数下升力系数的周期性波动。翼型上表面主分离涡即将脱落时,流线在后缘附近再附,升力系数达到峰值;而当流体从下表面向上卷起二次分离涡时,尾部流线大尺度分离,升力系数降至谷值。     

现代超临界翼型设计及其风洞试验

开展了现代超临界翼型的设计研究,对现役飞机的压力分布形态进行了分析,针对现役飞机在巡航状态和阻力发散点的压力分布进行对比,提取了现役飞机超临界剖面设计的要点。采用类函数/型函数变换(CST)参数化方法、基于二阶震荡及自然选择的随机权重混合粒子群算法(RwSecSelPSO)、雷诺平均Navier-Stokes(RANS)方程、Kriging代理模型结合定期望值型的目标函数建立了优化设计系统。针对提高阻力发散马赫数和降低巡航低头力矩的设计指标,利用优化设计系统通过调整目标期望值设计了一系列满足设计指标但阻力发散马赫数不同的超临界翼型,并选择了其中具有典型特性的翼型进行了对比分析,验证了提高阻力发散马赫数和低速失速特性的设计方法,指出了在阻力发散点形成平顶形压力分布的超临界翼型具有较好的综合性能。对设计的超临界翼型进行了高、低速风洞试验验证,试验结果表明:设计结果达到了设计指标要求,提出的低速改进方案有效,层流对超临界翼型失速特性影响较大。     

超声速湍流边界层中横向声速喷流的混合LES/RANS模拟

通过对超声速湍流边界层中横向声速喷流的计算,对一种混合大涡/雷诺平均Navier-Stokes(LES/RANS)模拟方法进行了测试,该方法采用一个依赖于到壁面的距离及当地湍流参数的混合函数结合两方程k-ω SST(shear stress transport)湍流模型和混合尺度亚格子模型来封闭湍流项.计算结果表明:混合模拟方法能够捕捉到喷流/湍流边界层相互干扰的非定常大尺度结构,且对分离区长度、壁面静压峰值和膨胀区静压分布的计算精度要高于RANS(Reynolds-averaged Navier-Stokes)方法.      

一种滤波SST方法在翼型深失速模拟中的应用

 为了提高原始剪切应力输运(SST)湍流模型对于分离流动的求解精度,将大涡模拟(LES)中的滤波因子和SST方程相结合构造出一种滤波SST方法,利用湍流尺度对流场求解区域进行划分,近壁面附近的稳态流动由湍流模型控制,远壁面采用LES方法进行模拟。与传统混合RANS/LES方法相比,该方法的特点是:滤波因子的选取不再依赖于网格尺度,可以有效地降低网格诱导分离现象发生的概率。采用该方法对NACA0021翼型深失速特性进行了仿真研究,对比了非定常雷诺平均Navier-Stokes(URANS)方法和SST-DES方法,从仿真结果可以看出滤波SST方法有效地激活了分离区域的脉动,充分展现了分离的三维特性;同时算例求解结果证明该方法的精度高于URANS方法,与试验结果吻合较好,显示其具有一定的工程应用价值。     

基于RANS/LES混合方法的分离流动模拟

飞行器在大迎角、快速俯仰机动时,流场中含有大尺度、非定常的涡结构,传统雷诺平均Navier-Stokes （RANS）模型不能准确模拟流场结构,根据国际上相关研究的发展趋势,需要采用混合RANS/大涡模拟（LES）模型来对复杂分离流动进行准确模拟。本文对基于分区混合与湍流尺度混合的双重RANS/LES混合计算模型进行发展与应用。通过典型简化模型的静、动态湍流大分离流动,测试和验证所采用的脱体涡模拟（DES）类方法,重点研究改进的延迟DES （IDDES）模型在动态问题应用中的正确性和有效性,并对所采用的数值模拟方法和相应的计算软件的可靠性、鲁棒性以及精度进行了考核验证。典型算例包括超声速圆柱底部流动、跨声速方腔流动、NACA0015机翼深失速分离涡模拟等。计算表明：发展的IDDES类混合计算模型可有效解决对数层不匹配的问题;对于定态非定常分离流动,DES、DDES、IDDES等模型计算结果差别不大,随着流动的非定常特性增强,IDDES模型的优势逐渐显现;对于动态非定常分离流动,则需要采用IDDES类模型。     

On developing data-driven turbulence model for DG solution of RANS

High-order Discontinuous Galerkin(DG) methods have been receiving more and more attentions in the area of Computational Fluid Dynamics(CFD) because of their high-accuracy property. However, it is still a challenge to obtain converged solution rapidly when solving the Reynolds Averaged Navier–Stokes(RANS) equations since the turbulence models significantly increase the nonlinearity of discretization system. The overall goal of this research is to develop an Artificial Neural Networks(ANNs) model with low complexity acting as an algebraic turbulence model to estimate the turbulence eddy viscosity for RANS. The ANN turbulence model is off-line trained using the training data generated by the widely used Spalart–Allmaras(SA) turbulence model before the Optimal Brain Surgeon(OBS) is employed to determine the relevancy of input features.Using the selected relevant features, a fully connected ANN model is constructed. The performance of the developed ANN model is numerically tested in the framework of DG for RANS, where the‘‘DG+ANN" method provides robust and steady convergence compared to the ‘‘DG+SA" method. The results demonstrate the promising potential to develop a general turbulence model based on artificial intelligence in the future given the training data covering a large rang of flow conditions.     

大湍流度对超低雷诺数下翼型受力及绕流的影响

实验测量了超低雷诺数(Re=5 300)下 NACA 0012翼型在自由来流下的升力系数和阻力系数,重点研究来流的湍流度对升力系数和阻力系数的影响,并进一步通过对翼犁流场的研究揭示湍流度对翼型受力产生影响的机理.结果显示,低湍流度下升力系数和阻力系数均无失速特征;当湍流度提高,升力系数和阻力系数在12°～15°迎角下表...     

仿生学翼型尾缘锯齿降噪机理

采用大涡模拟与声类比的方法研究了尾缘锯齿对翼型自噪声的影响。以SD2030翼型为研究对象,设计的尾缘锯齿幅值为10%弦长,周期为4%弦长。模拟了来流速度为31 m/s、0° 攻角下直尾缘翼型与锯齿尾缘翼型的流场,对应的基于弦长的雷诺数约为310 000。详细分析了尾缘锯齿对翼型尾缘湍流流场的影响,并通过FW-H方程计算大涡模拟提取的声源项,得到直尾缘翼型与锯齿尾缘翼型的声场。研究发现,锯齿尾缘可以明显降低翼型中低频范围内的噪声,在4 000 Hz以下,窄带噪声最多可降低约16 dB。但尾缘锯齿对翼型气动性能有着不利影响。进一步研究表明,该状态下翼型噪声主要由层流边界层引起的涡脱落噪声主导,尾缘锯齿可以抑制层流边界层引起的涡脱落现象,降低翼型升力脉动与尾缘附近的表面压力脉动,减弱尾缘处的低频湍流脉动与涡量,并有效降低尾缘附近涡的展向相关性,这些因素的综合作用使得翼型自噪声降低。     

Numerical simulation of compression corner flows at Mach number 9

A hypersonic vehicle encounters a wide range of conditions during its complete flight regime. These flight conditions may vary from low to high Mach numbers with varying angles of attack. The near-wall viscous dissipation associated with flows at combined high Mach and Reynolds numbers leads to significant wall heat transfer rates and shear stresses. The shock wave/boundary-layer interaction results in a flow separation region, which commonly augments total pressure losses in the flow and lowers the efficiency of aerodynamic control surfaces such as fins installed on a vehicle. The standard turbulence models, when used to resolve such flows, result in incorrect separation bubble size for large separated flows. Therefore, it results in an inaccurate aerodynamic load, such as the wall pressures, skin friction distribution, and heat transfer rate. In previous studies, the application of the shock-unsteadiness correction to the standard two-equation k-ω turbulence model improved the separation bubble size leading to an accurate pressure prediction and shock definition with the assumption of constant Prandtl number. In the present work, the new shock-unsteadiness modification to the k-ω turbulence model is applied to the hypersonic compression corner flows. This new model with variable Prandtl number is based on the model parameter, which depends upon the local density ratio. The computed wall pressures, heat flux and flow field are compared to the experimental data. A parametric study is carried out by varying compression deflection angles, free stream Reynolds number and wall temperatures to compute the flow field and wall data accurately, particularly in the shock boundary layer interaction region. The new shock-unsteadiness modified k-ω model with variable Prandtl number shows an accurate prediction of initial pressure rise location, pressure distribution in the plateau region and heat flux in comparison to the standard k-ω model.     

厚覆冰导线升力突变机理及数值模拟研究

针对新月形厚覆冰导线的升力系数在风攻角15°附近存在突变的问题,分别采用基于k-ωSST湍流模型的雷诺时均法和大涡模拟(LES)的数值方法对新月形厚覆冰导线在风攻角10°~20°范围进行了模拟。通过对比两种数值方法计算得到的覆冰导线气动力系数、流场结构和表面风压,发现LES方法能够更好地捕捉新月形覆冰导线表面的小尺度涡结构,得到的覆冰导线气动力参数计算结果与风洞试验数据高度吻合;而k-ωSST湍流模型难以模拟壁面上小尺度涡,捕捉不到升力系数的突变。根据覆冰导线不同壁面区域的压力分布,发现上侧壁面处的涡结构影响整体流场,并在下侧壁面曲率、来流夹角和壁面切线方向共同作用下导致升力系数突变。LES的气动力参数模拟结果可为覆冰导线防舞提供参考。     

Aerodynamic characteristics of unsymmetrical aerofoil at various turbulence intensities

A series of wind tunnel tests were performed to investigate the effect of turbulent inflows on the aerodynamic characteristics of the unsymmetrical airfoil at various turbulence intensities and Reynolds number. To assess the aerodynamic characteristics, surface pressure measurements were made over the unsymmetrical airfoil surface by using a simultaneous pressure scanner MPS4264 of Scanivalve make. Self-generated passive grids made of parallel arrays of round bars were placed at four different locations to generate various Turbulence Intensities (TI) in the wind tunnel. The location of the passive grid has been normalized in terms of considering the distance between the entry of the test section and the leading edge of the model. Based on the wind tunnel results, by comparing the baseline without grid low turbulence case TI = 0.51% with other turbulence generated cases like TI = 4.68%, 4.73%, 6.04% and 8.46% at different Reynolds number, it is found that the coefficient of lift increases with the increase in the turbulence intensity. Results also reveal that the flow featuring turbulence can effectively delay the stall characteristics of an airfoil by attaching the flow over the airfoil for an extended region. Additionally, attempts were made to understand the influence of turbulence on the aerodynamic hysteresis.     

Experimental Study of Corner Stall in a Linear Compressor Cascade

In order to gain a better knowledge of the mechanisms and to calibrate computational fluid dynamics (CFD) tools including both Reynolds-averaged Navier-Stokes (RANS) and large eddy simulation (LES),a detailed and accurate experimental study of corner stall in a linear compressor cascade has been carried out.Data are taken at a Reynolds number of 382 000 based on blade chord and inlet velocity.At first,inlet flow boundary layer is surveyed using hot-wire anemometry.Then in order to investigate the effects of incidence,measurements are acquired at five incidences,including static pressures on both blade and endwall surfaces measured by pressure taps and the total pressure losses of outlet flow measured by a five-hole pressure probe.The maximum losses as well as the extent of losses of the corner stall are presented as a function of the investigated incidences.