ALGEBRAIC TURBULENCE MODEL WITH MEMORY FOR COMPUTATION OF 3-D TURBULENT BOUNDARY LAYERS WITH VALIDATION

Additional equations were found based on experiments for an algebraic turbulence model to improve the prediction of the behavior of three dimensional turbulent boundary layers by taking account of the effects of pressure gradient and the historical variation of eddy viscosity, so the model is with memory. Numerical calculation by solving boundary layer equations was carried.out for the five pressure driven three dimensional turbulent boundary layers developed on flat plates, swept-wing, and prolate spheroid in symmetrical plane. Comparing the computational results with the experimental data, it is obvious that the prediction will be more accurate if the proposed closure equations are used, especially for the turbulent shear stresses.     

Characteristics of reattached boundary layer in shock wave and turbulent boundary layer interaction

The reattached boundary layer in the interaction of an oblique shock wave with a flatplate turbulent boundary layer at Mach number 2.25 is studied by means of Direct Numerical Simulation(DNS). The numerical results are carefully compared with available experimental and DNS data in terms of turbulence statistics, wall pressure and skin friction. The coherent vortex structures are significantly enhanced due to the shock interaction, and the reattached boundary layer is characterized by large-scale...     

Large-eddy simulation of shock-wave/turbulent boundary layer interaction with and without SparkJet control

The efficiency and mechanism of an active control device ‘‘Spark Jet" and its application in shock-induced separation control are studied using large-eddy simulation in this paper.The base flow is the interaction of an oblique shock-wave generated by 8° wedge and a spatially-developing Ma = 2.3 turbulent boundary layer.The Reynolds number based on the incoming flow property and the boundary layer displacement thickness at the impinging point without shock-wave is20000.The detailed numerical approaches were presented.The inflow turbulence was generated using the digital filter method to avoid artificial temporal or streamwise periodicity.The numerical results including velocity profile,Reynolds stress profile,skin friction,and wall pressure were systematically validated against the available wind tunnel particle image velocimetry(PIV) measurements of the same flow condition.Further study on the control of flow separation due to the strong shock-viscous interaction using an active control actuator ‘‘Spark Jet" was conducted.The single-pulsed characteristic of the device was obtained and compared with the experiment.Both instantaneous and time-averaged flow fields have shown that the jet flow issuing from the actuator cavity enhances the flow mixing inside the boundary layer,making the boundary layer more resistant to flow separation.Skin friction coefficient distribution shows that the separation bubble length is reduced by about 35% with control exerted.     

Isothermal study of effusion cooling flows using a large eddy simulation approach

An isothermal numerical study of effusion cooling flow is conducted using a large eddy simulation(LES) approach.Two main types of cooling are considered,namely tangential film cooling and oblique patch effusion cooling.To represent tangential film cooling,a simplified model of a plane turbulent wall jet along a flat plate in quiescent surrounding fluid is considered.In contrast to a classic turbulent boundary layer flow,the plane turbulent wall jet possesses an outer free shear flow region,an inner near wall region and an interaction region,characterised by substantial levels of turbulent shear stress transport.These shear stress characteristics hold significant implications for RANS modelling,implications that also apply to more complex tangential film cooling flows with non-zero free stream velocities.The LES technique used in the current study provides a satisfactory overall prediction of the plane turbulent wall jet flow,including the initial transition region,and the characteristic separation of the zero turbulent shear stress and zero shear strain locations.Oblique effusion patch cooling is modelled using a staggered array of 12 rows of effusion holes,drilled at 30° to the flat plate surface.The effusion holes connect two channels separated by the flat plate.Specifically,these comprise of a channel representing the combustion chamber flow and a cooling air supply channel.A difference in pressure between the two channels forces air from the cooling supply side,through the effusion holes,and into the combustion chamber side.Air from successive effusion rows coalesces to form an aerodynamic film between the combustion chamber main flow and the flat plate.In practical applications,this film is used to separate the hot combustion gases from the combustion chamber liner.The numerical model is shown to be capable of accurately predicting the injection,penetration,downstream decay,and coalescence of the effusion jets.In addition,the numerical model captures entrainment of the combustion chamber mainstream flow towards the wall by the presence of the effusion jets.Two contra-rotating vortices,with axes of rotation along the stream-wise direction,are predicted as a result of this entrainment.The presence and characteristics of these vortices are in good agreement with previous published research.      

Numerical study of transonic separation flow using an anisotropic turbulence model

A transonic turbulent separation flow in a converging-diverging transonic diffuser was studied, when there existed a separation bubble on the top wall of the diffuser triggered by strong shock-wave-boundary-layer-interaction (SWBLI). To capture the essential behavior of this complex flow, the current study utilized an anisotropic turbulence model developed on the basis of a statistical partial average scheme. The first order moment of turbulent fluctuations, retained by a novel average scheme, and the turbulent length scale, can be determined from the momentum equations and mechanical energy equation of the fluctuation flow, respectively. The two physical quantities were readily used to construct the nonlinear anisotropic eddy viscosity tensor and to significantly improve the computational results. Comparisons between the computational results and experimental data were carried out for velocity profiles, pressure distribution, skin friction coefficient, Reynolds stress as well as streamline vectors distribution. Without using any empirical coefficients and wall functions, the numerical results were in good agreement with the available experimental data, further confirming that the nonlinear anisotropic eddy viscosity tensor is the decisive factor for the success of the computational results.     

New constitutive relation for eddy viscosity models

A new turbulent constitutive relation was directly derived from Boussinesq's hypothesis and mixing length theory, and then implemented in the standard k-ε model. The performance of this constitutive relation was validated in zero pressure gradient flat-plate boundary layer flow, fully-developed turbulent channel flow and separated flow in a plane asymmetric diffuser. The investigation demonstrated that, this new constitutive relation gave very accurate results in the former two basic cases and provided significant improvement in prediction of separated and reattachment points in the plane asymmetric diffuser. Separation and reattachment points at x/H=7.5 and 29 were calculated accurately in comparison to experimental results, and the static pressure coefficient of 0.82 was very close to large eddy simulation calculation. These results are very encouraging but further verification and extensive application of the new constitutive relation to other two-equation eddy viscosity model are needed.      

Passage shock wave/boundary layer interaction control for transonic compressors using bumps

Flow separation due to shock wave/boundary layer interaction is dominated in blade passage with supersonic relative incoming flow, which always accompanies aerodynamic performance penalties. A loss reduction method for smearing the passage shock foot via Shock Control Bump(SCB) located on transonic compressor rotor blade suction side is implemented to shrink the region of boundary layer separation. The curved windward section of SCB with constant adverse pressure gradient is constructed ahead of...     

Numerical investigation of flow separation behavior in an over-expanded annular conical aerospike nozzle

A three-part numerical investigation has been conducted in order to identify the flow separation behavior––the progression of the shock structure, the flow separation pattern with an increase in the nozzle pressure ratio(NPR), the prediction of the separation data on the nozzle wall,and the influence of the gas density effect on the flow separation behavior are included.The computational results reveal that the annular conical aerospike nozzle is dominated by shock/shock and shock/boundary layer interactions at all calculated NPRs, and the shock physics and associated flow separation behavior are quite complex.An abnormal flow separation behavior as well as a transition process from no flow separation at highly over-expanded conditions to a restricted shock separation and finally to a free shock separation even at the deign condition can be observed.The complex shock physics has further influence on the separation data on both the spike and cowl walls, and separation criteria suggested by literatures developed from separation data in conical or bell-type rocket nozzles fail at the prediction of flow separation behavior in the present asymmetric supersonic nozzle.Correlation of flow separation with the gas density is distinct for highly overexpanded conditions.Decreasing the gas density or reducing mass flow results in a smaller adverse pressure gradient across the separation shock or a weaker shock system, and this is strongly coupled with the flow separation behavior.The computational results agree well with the experimental data in both shock physics and static wall pressure distribution at the specific NPRs, indicating that the computational methodology here is advisable to accurately predict the flow physics.     

Turbulent boundary layer separation control using plasma actuator at Reynolds number 2000000

An experimental investigation was conducted to evaluate the effect of symmetrical plasma actuators on turbulent boundary layer separation control at high Reynolds number. Compared with the traditional control method of plasma actuator, the whole test model was made of aluminum and acted as a covered electrode of the symmetrical plasma actuator. The experimental study of plasma actuators' effect on surrounding air, a canonical zero-pressure gradient turbulent boundary, was carried out using particle image velocimetry(PIV) and laser Doppler velocimetry(LDV) in the 0.75 m × 0.75 m low speed wind tunnel to reveal the symmetrical plasma actuator characterization in an external flow. A half model of wing-body configuration was experimentally investigated in the  3.2 m low speed wind tunnel with a six-component strain gauge balance and PIV. The results show that the turbulent boundary layer separation of wing can be obviously suppressed and the maximum lift coefficient is improved at high Reynolds number with the symmetrical plasma actuator. It turns out that the maximum lift coefficient increased by approximately 8.98% and the stall angle of attack was delayed by approximately 2° at Reynolds number2 ×10~6. The effective mechanism for the turbulent separation control by the symmetrical plasma actuators is to induce the vortex near the wing surface which could create the relatively largescale disturbance and promote momentum mixing between low speed flow and main flow regions.     

Numerical study of compression corner flowfield using Gao-Yong turbulence model

A numerical simulation of shock wave turbulent boundary layer interaction induced by a 24° compression corner based on Gao-Yong compressible turbulence model was presented.The convection terms and the diffusion terms were calculated using the second-order AUSM (advection upstream splitting method) scheme and the second-order central difference scheme,respectively.The Runge-Kutta time marching method was employed to solve the governing equations for steady state solutions.Significant flow separation-region which indicates highly non-isotropic turbulence structure has been found in the present work due to intensity interaction under the 24° compression corner.Comparisons between the calculated results and experimental data have been carried out,including surface pressure distribution,boundary-layer static pressure profiles and mean velocity profiles.The numerical results agree well with the experimental values,which indicate Gao-Yong compressible turbulence model is suitable for the prediction of shock wave turbulent boundary layer interaction in two-dimensional compression corner flows.      

引入压力梯度的针对角区分离流动的Spalart-Allmaras模型的改进

针对Spalart-Allmaras（S-A）模型在角区分离计算中的问题,将无量纲的压力梯度引入其涡黏性输运方程的生成项,得到了改进的S-A模型.通过对两套含角区分离的低速压气机叶栅进行验证计算发现:与实验结果相比,原始S-A模型所得的分离区偏大,分离区内壁面压力偏低;而改进模型得到了与实验一致的分离区尺寸以及吸力面、压力面压力系数分布等结果.针对S-A模型涡黏性生成项和耗散项的分析表明:引入的无量纲压力梯度有效的识别了角区分离,在分离区内改变了涡黏性的生成、耗散关系,增大了涡黏性,从而缩小了计算所得分离区,同时在主流区保留了原始S-A模型的计算结果,进而带来了良好的改进效果.      

一种改进的类DES湍流模拟方法

构造了一种基于一方程S-A(Spalart-Allmaras)模型和一方程Yoshizawa亚格子模型的混合RANS/LES(Reynolds-averaged Navier-Stokes/large eddy simulation)湍流模拟方法.在涡黏假设的基础上,将Yoshizawa亚格子湍动能方程转化为等效的亚格子湍流涡黏性输运方程,并采用混合函数将其与S-A模型方程进行混合,从而改进了DES(detached eddy simulation)模型的亚格子行为,同时克服了其依靠网格控制模型转换的缺点.模拟了超声速的带斜坡凹腔流动,并与相同网格下的LES及DES结果进行了比较,结果表明该混合RANS/LES方法在远离壁面的自由剪切流区域与LES行为一致,而在附着边界层区域表现优于LES和DES方法.      

大涡模拟中亚格子模型的改进及其在槽道湍流中的应用

在用大涡模拟的方法计算具有强剪切的槽道湍流时, 常用的亚格子应力模型, 包括考虑壁面修正的模型, 都会出现平均流剖面偏高的现象.这表明在壁面附近亚格子应力模型还不能描述实际情况.针对这一问题, 修正了亚格子雷诺应力模型的壁面函数, 得到了较好的计算结果.用修正后的模型计算出的平均速度分布、均方根速度的分布以及雷诺应力的分布, 均与直接数值模拟(DNS)的结果吻合较好.      

湍流边界层各向异性张量模式的实验研究

使用高时间分辨率粒子图像测速技术在水槽内精细测量平板湍流边界层内不同流向、法向位置的瞬时速度矢量空间场的时间序列信号。利用实验数据对湍流各向异性的涡黏张量模式进行了实验研究,给出了湍流边界层不可压缩槽道湍流中各向异性的涡黏张量各分量的空间分布规律。各向异性的涡黏张量分量的空间分布揭示了流向平均速度的法向梯度对雷诺应力三个分量的不同贡献。涡黏张量三个分量空间上的不同规律说明对涡黏张量的各向异性的考虑是合理的,而各向同性的涡黏模型不适宜描述剪切湍流雷诺应力的物理本质。     

SST湍流模型在高超声速绕流中的改进

为模拟高超声速湍流问题,对剪切应力输运(SST)湍流模型系数进行了修正。数值格式采用改进的总变差递减(TVD)格式,并对湍流模型的负值强制项进行了隐式处理。在此基础上计算了绕平板以及具有分离、再附、激波/边界层干扰等复杂流动结构的压缩拐角的高超声速流动。计算结果与试验数据及半经验公式的对比表明:SST湍流模型引入的雷诺剪切应力与湍动能之比为常数(Bradshaw数)在高超声速绕流中并不成立。Bradshaw数修正后的SST湍流模型与原模型相比,所计算的壁面压力、摩擦阻力和壁面热流分布更接近试验结果。     

壁面温度控制对平板边界层影响的数值研究

通过对零压力梯度的平板边界层流动施加温度控制,展开壁面温度控制对平板层流边界层和湍流边界层影响的研究,探索温度控制对平板转捩雷诺数和壁面摩擦阻力的影响规律。采用带有转捩模式的三方程湍流模型对平板边界层流动进行数值模拟,重点考察了壁面摩阻系数、平板转捩雷诺数、湍流边界层流动随壁面温度变化的规律。计算结果表明在壁面温度从288 K 增大到432 K 时,边界层转捩雷诺数增大约36%,表面摩擦阻力减少约9.6%。研究分析表明：加热控制使层流区域温度边界层内粘性作用增强,雷诺切应力和湍动能减小,流动更加稳定;而湍流区域边界层内粘性底层中速度梯度和粘性切应力减小,导致壁面处摩擦切应力减小。因此壁面加热控制可以延迟边界层转捩,减小湍流区摩阻系数,并减小平板摩擦阻力。     

展向振荡对激波/湍流边界层干扰的影响

周期振荡作为一种有效的壁面流动控制手段受到广泛关注,而其对激波/湍流边界层干扰的影响目前鲜有研究。本文采用高精度直接数值模拟（DNS）方法对马赫数2.9、12°激波入射角、强振荡下的激波/湍流边界层干扰进行了系统研究。通过与无振荡工况的定量比较,揭示了展向强振荡对干扰区内复杂流动结构的影响规律及作用机制,如分离泡尺度、物面压力脉动非定常特性、物面剪切的非定常特性及统计特征等。研究发现：在展向强振荡作用下,分离点位置提前,间歇区长度增大;同时由于分离泡内强黏性耗散的影响,展向振荡的穿透高度约为分离泡高度的4%,因而对流动结构不会产生实质影响。但展向强振荡会对壁面附近流动造成显著影响,如强振荡诱导的壁面展向速度远大于流向速度,造成流向剪切与展向剪切之间夹角的概率密度函数峰值从0°偏移到80°~90°之间。物面压力及剪切本征正交分解分析表明,展向振荡会导致模态能量从低阶模态向高阶模态转移,降低低频运动的能量占比,增强再附后Görtler涡等壁面附近旋涡结构的强度。     

圆柱跨声速绕流中的激波/湍流相互作用大涡模拟研究

采用大涡模拟方法研究了圆柱跨声速绕流中的激波/湍流相互作用问题,来流马赫数M∞取为0.75,基于圆柱直径D的雷诺数为2×105。计算结果表明,圆柱分离点处出现一道斜激波,并且以与涡脱泻Strouhal数一致的特征频率向上游传播。激波运动导致流场中出现反对称的流动模态,剪切层中压力信号的功率谱曲线中存在0.4、-1和-5次方的斜率关系,剪切层中的剪切应力角约为0°,脉动速度以流向脉动速度为主,并且沿剪切层的大尺度结构组织性减小。     

数值模拟二维喷管激波/湍流附面层干扰流动

采用可压缩性修正两方程湍流模型,数值模拟了3种不同波前马赫数的跨声速二维喷管内激波/湍流附面层干扰流动,对流场中时均参数和脉动参数的计算结果与实验值进行了比较。结果表明可压缩性修正的两方程湍流模型准确地模拟了正激波/湍流附面层干扰流动的时均参数和脉动参数,无分离和有分离的激波/湍流附面层干扰流动的基本规律。