可压缩多介质流动问题的高精度数值模拟方法

在可压缩流动问题的数值模拟领域,激波的高分辨率计算已取得重要进展。但是包含物质界面的可压缩多介质流动的数值模拟还存在诸多数值挑战,主要表现为界面处数值耗散过大和非物理振荡等问题。界面处流体性质的不连续性是造成可压缩多介质流动问题物理建模与数值方法困难的主要原因。为了建立一套高效的可压缩多介质流动问题的高精度数值模拟方案,本文从数值框架的选择、非守恒方程相容离散、高精度有界格式构造、界面压缩、界面-单介质分区计算方法等多个维度出发,综述近几年我们在可压缩多介质流动问题高精度数值模拟方法方面的研究进展。通过上述多个维度的工作,我们建立了一套适用于可压缩多介质流动问题的低耗散、基本无数值振荡的高精度欧拉数值方法,并成功应用于可压缩多介质大变形流动和界面不稳定性诱导湍流混合等问题的数值模拟。相关数值方法研究成果已集成至武器物理等领域工程数值模拟软件中,为相关工程任务提供了重要技术支撑。     

Initiation characteristics of oblique detonation waves from a finite wedge under argon dilution

In this paper, the flow field characteristics of Oblique Detonation Waves (ODWs) induced by a finite wedge under argon dilution are studied by solving the Euler equations with a detailed chemical model of hydrogen and air. First, the effects of the expansion waves, argon concentration, geometric parameters, and Mach number on the ODW are discussed. The results show that the changes of these parameters may make the oblique detonation not be initiated. Then, the ODW initiation criterion of the finite wedge is summarized, as the characteristic length of the induction zone L_C and the characteristic length of the oblique wedge L_W meet the condition L_C/L_W < 1, the initiation of the ODW occurs; otherwise, it does not occur. What’s more, the Constant Volume Combustion (CVC) theory is applied to study the characteristic length of induction zone. It is found that CVC theory is more suitable for the “smooth transition” type of ODW flow field, the theoretical and numerical characteristic length in induction regions are in good agreement. This work is of great significance for the design of oblique detonation engines for hypersonic vehicles.     

不同直径圆球诱导燃烧的振荡机制与频率特性

为了分析不同直径圆球诱导振荡燃烧的规律，并揭示圆球大小在振荡燃烧现象中所发挥的深层次作用，本文采用二维轴对称Euler方程和基元反应模型，对不同直径的圆球在H2/air预混气体中诱导振荡燃烧的现象开展数值模拟研究。研究发现，振荡频率并不是简单地随直径增大而逐渐从高频向低频连续过渡，而是存在两次突变，形成了超高频、高频以及低频三种振荡燃烧模态。在两种模态间过渡时，振荡达到稳定状态前，会存在一段双频耦合的振荡阶段。三种不同振荡燃烧模态的产生是受到了不同振荡机制的作用，而两种模态间过渡时的双频耦合现象则是两种机制相互竞争的结果。     

短螺旋型燃烧室旋流结构及气动边界发展规律数值模拟研究

短螺旋型燃烧室的头部轴线沿发动机周向与发动机轴线偏转一定角度,可以在保证燃烧效率不变的条件下有效缩短燃烧室轴向长度。短螺旋型燃烧室流场的最大特点是旋流流动单侧受限。为了研究头部安装角α变化对燃烧室旋流流动特性的影响,基于数值方法对短螺旋型燃烧室进行了计算分析。结果表明:随着α变化,旋流器下游旋涡依次出现对称环状、马蹄状、环状结构;随着α增加,气动边界逐渐出现并抑制旋流的周向扩张,导致流场出现不同的旋涡结构;不同α下的切向角动量随轴向距离增加而衰减,但α为35°和45°时,气动边界在非受限侧出现并对旋流产生约束,角动量衰减变慢;当α为0°,15°,35°,45°时,燃油液滴依次集中分布在旋流器下游两旋涡边缘、侧壁面和头部端壁、非受限旋涡边缘。本文研究了不同α下的旋涡结构及气动边界沿轴向的演化过程,为短螺旋型燃烧室进一步的设计与优化提供基础。     

Unsteady wakes-secondary flow interactions in a high-lift low-pressure turbine cascade

Detailed experimental measurements were conducted to study the interactions between incoming wakes and endwall secondary flow in a high-lift Low-Pressure Turbine (LPT) cascade. All of the measurements were conducted in both the presence and absence of incoming wakes, and numerical analysis was performed to elucidate the flow mechanism. With increasing Reynolds number, the influence of the incoming wakes on suppressing the secondary flow gradually increased owing to the greater influence of incoming wakes on reducing the negative incidence angle at higher Reynolds numbers, leading to a lower blade loading near the leading edge and suppression of the Pressure Side (PS) leg of the horseshoe vortex. However, the effect of unsteady wakes on suppressing the profile losses gradually became weaker owing to the reduced size of the Suction Side (SS) separation bubble and increased mixing loss in the free-flow region at high Reynolds numbers. Incoming wakes clearly improved the aerodynamic performance of the low-pressure turbine cascade at low Reynolds numbers of 25,000 and 50,000. In contrast, at the high Reynolds number of 100,000, the profile loss at the midspan and mass-averaged total losses downstream of the cascade were higher in the presence of wakes than in the absence of wakes, and the unsteady wakes exerted a negative influence on the aerodynamic performance of the LPT cascade.     

Effect of bristle pack position on the rotordynamic characteristics of brush-labyrinth seals at various operating conditions

Over the last few decades, the research on the effect of bristle pack position on the rotordynamic characteristics of the brush-labyrinth seals is not sufficient. To this end, two kinds of brush-labyrinth seals for the bristle pack element installed upstream of the labyrinth teeth named BSU and installed downstream of the labyrinth teeth called BSD were used to investigate the effect of bristle pack position on the rotordynamic characteristics of the brush-labyrinth seals. Using the numerical model combining the porous medium model and the whirling rotor method, the rotordynamic characteristics of the BSU and BSD at various operating conditions including four kinds of pressure ratios, five kinds of inlet preswirl speeds and four kinds of rotor spinning speeds were conducted. The obtained results show that the effects of operating conditions on rotordynamic coefficients for the different seal configurations are different. The direct stiffness, cross-coupled stiffness and direct damping of the BSU are lower than those of the BSD. The rotordynamic coefficients of the BSU are more insensitive to the operating conditions variation. From the perspective of the seal stability, the BSU is a better brush-labyrinth seal configuration at high pressure ratio, high positive preswirl or high rotor spinning speed conditions. While in the case of low pressure ratio, low positive preswirl or low rotor spinning speed conditions, the BSD is a better choice.     

基于变马赫数的五孔探针三维插值方法

探讨了五孔探针气动数据的插值方法,为提高插值精度,开发了基于传统线性插值法的三维线性插值法。该方法把同一探针在不同马赫数下的校准图形成三维数据库,将实验数据通过三维图进行插值。并使用改进前后的两种插值方法分别对校准风洞测得的数据进行整理,对比结果证明:在实验工况连续变化的情况下,三维线性插值法在插值精度上要优于传统线性插值法。特别是在来流马赫数变化较大时,该方法可以改善单一校准文件处理造成的数据精度问题,可用于自动化流场采集系统,为流场高速高精度采集奠定基础。     

偏心撞击对撞击式喷嘴雾化特性的影响

为研究偏心撞击对撞击式喷嘴雾化特性的影响,建立了求解自燃推进剂冷态射流撞击雾化过程的数值模拟方案,计算了不同偏心度条件下的射流撞击雾化过程。采用树形自适应加密算法直接求解不可压Navier-Stokes方程组,由分段线性的流体体积(VOF)方法对流体界面进行捕捉。结果表明偏心撞击会导致雾场发生偏转,当无量纲偏心度E为1/8时,雾场偏转角度约为9.2°,应控制加工偏差小于该值。随着偏心度的增大,液膜的偏转角度增大,理论推导得到的液膜偏转角度要小于数值计算得到的液膜偏转角度。正心撞击时燃料与氧化剂流强峰值接近,雾场的流强分布呈单峰分布。当发生偏心撞击时,由于燃料与氧化剂部分射流未参与撞击导致流强峰值出现交错,雾场的流强分布呈双峰分布,混合比的空间分布发生较大改变。正心撞击时撞击点下游液滴的速度分布近似呈轴对称分布,而偏心撞击之后的速度分布则呈中心对称分布。偏心撞击导致的射流动量损失使得雾化性能变差,当无量纲偏心度E为1/8时,一甲基肼(MMH)的Sauter平均直径增大约4.8%,四氧化二氮(NTO)的Sauter平均直径增大约5.8%。      

对转压气机外伸激波对叶顶泄漏流影响

摘要:为了揭示对转压气机下游转子外伸激波对上游转子泄漏流的影响规律,针对上游转子叶顶间隙分别为0.2、0.5、0.8 mm的对转压气机开展了非定常数值模拟研究。研究发现:受下游转子外伸激波掠扫影响,上游转子尾缘附近压力面会形成弱压缩波,且随上游转子泄漏流增强而逐渐减弱;而该外伸激波在上游转子尾缘附近吸力面,会形成与型线切向相垂直的较强压缩波,且其位置基本不受叶顶间隙大小影响;外伸激波使上游转子尾缘附近吸、压力面压差增大,叶顶泄漏流增强,进而导致其损失增大;随着叶顶间隙增大,上游转子叶尖区弦长前半段压力波动的频率,由通道激波转为叶顶泄漏流主导,且呈现减小的趋势,而弦长后半段压力波动的频率主要由外伸激波主导,且基本不变。      

离心压缩机密封及空腔流动的一维/三维耦合建模研究

为了在保证数值预测精度的同时降低离心压缩机的建模复杂度,以一维密封泄漏计算替代完整的密封及空腔建模,开展了离心压缩机盖盘密封及空腔流动的源项建模方法研究。结果表明:基于源项方法的密封及空腔简化建模仅需在主流道建模基础上施加泄漏质量流量、总温和摩擦损失源项边界条件,即可较高精度地还原完整的盖盘密封及空腔建模的性能和关键流动细节。与完整建模相比,在全工况下源项建模预测的等熵效率的绝对偏差小于0.65%,总压比和等熵效率的相对性能偏差小于1%。该方法可在满足下游部件匹配设计精度需求的同时,减少50%以上的网格数量,并显著提高计算的经济性和收敛性。泄漏流量的计算精确度是影响源项建模法性能预测准确性的最关键因素,耦合建模可以采用一维计算中推荐的密封泄漏系数值。