隔板深度对激波聚焦起爆影响的数值模拟研究

考虑几何结构参数对激波聚焦触发爆轰波的复杂影响,对H2/Air预混气的环形射流激波聚焦起爆现象开展了数值模拟研究,详细分析了不同隔板深度条件下的激波聚焦过程、流场演化特征以及爆轰波参数变化规律。研究结果表明,凹腔内激波聚焦诱导的局部爆炸以及隔板前缘处射流形成"卷吸涡"是引起爆轰波触发的两个重要机制,而隔板深度是影响环形射流激波聚焦起爆性能的关键因素。随着隔板深度的增加,凹腔内激波聚焦的强度逐步增强,回传的能量损失有所减小,进而导致爆燃转爆轰的距离与时间显著缩短。此外,当隔板深度由1 mm逐渐增加至3 mm时,爆轰波自持传播稳定性呈现出先降低后升高的变化趋势,产生这一现象的主要原因是爆轰波强度与三波点运动的相互作用。     

差分干涉CT技术诊断激波管界面不稳定性

对差分干涉计算机层析技术诊断激波加载下气柱界面不稳定性的可行性进行初步理论和实验研究。针对有限投影数的联合代数重建算法,提出了一种新的投影矩阵计算方法,采用特定投影方向,各投影方向具有不同采样间隔。投影方向的对称性和投影线的规律性使计算过程大为减化。用该重建算法对气柱密度场进行数值模拟,结果表明4方向投影能够重建激波作用下气柱演化初期的体密度场,8方向投影基本能够重建演化中期的体密度场。用差分干涉系统对激波管气柱进行3方向诊断的实验结果表明,差分干涉计算机层析技术用于激波冲击下的气柱不稳定性密度场诊断是可行的。     

以高温燃气为试验介质的爆轰波风洞

为了满足高温燃气流动研究的需求,提出了一种新的实验装置——爆轰波风洞.该风洞基本原理是利用高压气体驱动爆轰波后高温气体,为其提供消除Taylor稀疏波的运动边界条件,使爆轰波后气流保持均匀恒定所需状态.在结构布置上,爆轰波风洞与激波风洞类似,因此很容易利用激波风洞实现爆轰波风洞的运行模式,但两者的流动过程和参数间关系有明显的区别.首先理论分析了爆轰风洞流动过程并得出参数间关系,而后据此开展了实验验证.理论和实验结果表明该装置可以产生多种类型、不同状态的高温燃气,并可实现对燃气状态的准确控制.该装置实验能力和应用范围还能进一步扩展.      

瞬态光谱法测量环氧丙烷爆轰温度

采用具有像增强功能的光谱探测器——增强型电荷耦合器件ICCD和DG535同步控制器,应用激波管技术和光纤光谱方法,由压力传感器监测爆燃转爆轰的过程,在解决了同步控制,防止误触发等问题后,从爆炸激波管的侧窗拍摄到了环氧丙烷由爆燃转变为爆轰时刻的曝光时间为2μs,分辨率达到0·2nm的瞬态发射光谱。对所测光谱进行强度定标后,可直接得到环氧丙烷爆轰时刻的热辐射背景,用黑体辐射公式按照最小二乘法原则对其进行拟合,得到了环氧丙烷的爆轰温度为2416K。此爆轰温度的获得,为进一步分析环氧丙烷爆燃转爆轰过程的微观机理提供了实验数据。     

气相爆轰波在分叉管中传播现象的数值研究

数值研究气相爆轰波在分叉管中的传播现象.用二阶附加半隐龙格-库塔法和5阶WENO格式求解二维欧拉方程,用基元反应描述爆轰化学反应过程,得到了密度、压力、温度、典型组元质量分数场及数值胞格结构和爆轰波平均速度.结果表明:气相爆轰波在分叉管中传播,分叉口左尖点的稀疏波导致诱导激波后压力、温度急剧下降,诱导激波和化学反应区分离,爆轰波衰减为爆燃波(即爆轰熄灭).分离后的诱导激波在垂直支管右壁面反射,并导致二次起爆.畸变的诱导激波在水平和垂直支管中均发生马赫反射.分叉口上游均匀胞格区和分叉口附近大胞格区的边界不是直线,其起点通常位于分叉口左尖点上游或恰在左尖点.水平支管中马赫反射三波点迹线始于右尖点下游.分叉口左尖点附近的流场中出现了复杂的旋涡结构、未反应区及激波与旋涡作用.旋涡加速了未反应区的化学反应速率.反射激波与旋涡作用并使旋涡破碎.反射激波与未反应区作用,加速其反应消耗,并形成一个内嵌的射流.数值计算得到的波系演变和胞格结构与实验定性一致.     

来流边界层效应下斜坡诱导的斜爆轰波

以超声速预混气中的斜爆轰波为研究对象,对其在来流边界层效应下的特性进行了实验研究.在马赫数为3的超声速预混风洞中,通过斜坡诱导产生了斜爆轰波.当来流的当量比较低时,预混气中产生的是化学反应锋面与激波面非耦合的激波诱导燃烧现象.此时边界层分离区中的化学反应放热将使分离区尺度显著增大,流场非定常性显著增强,激波位置剧烈振荡.当来流的当量比较高时,预混气将产生斜爆轰波.此时边界层分离区会影响到斜爆轰波起爆时的形态.在小尺度分离区下,斜爆轰波起爆时呈突跃结构(有横波);在中等尺度分离区下,流场固有的非定常性使斜爆轰波呈间歇突跃结构;在大尺度分离区下,斜爆轰波起爆则呈完全的平滑结构(无横波).     

用高速摄影机拍摄气体爆轰波反应区

人们很早就注意到可燃气体混合物中火焰在一定的条件下可以达到很高的传播速度。这种现象称之为爆轰。根据ZND模型,气体爆轰实际上是带有化学反应区的激波。它的结构是激波后方紧跟一个化学反应区,两者构成了爆轰波波阵面。爆轰波的特点是1)传播速度高,一般为2000m/S左右。2)伴随有发光现象。根据ZND模型,可燃气体的化学反应在反应区中进行,因而反应区具有一定的宽度。 人们对爆轰波作了大量的研究,但由于波阵面的传播速度太快,限制了对波阵面结构诸如阵面形状,反应区宽度等的研究。     

旋转爆轰流场的三维结构及其径向变化的数值研究

基于带化学反应的三维Euler方程,采用8组元和24个可逆化学反应的基元反应模型,对等当量比的气相氢气/氧气系统在圆环形燃烧室内的旋转爆轰进行了数值模拟。结果表明,子爆轰波、斜激波和滑移线组成了旋转爆轰波的基本三维结构。由于旋转爆轰燃烧室特殊的几何构型,即内壁的发散和外壁的收敛,使内壁面附近的爆轰强度要小于外壁面附近的爆轰强度,最终实现旋转爆轰波在燃烧室内的自持传播。     

乙炔-氧气混合气体强爆轰参数的理论估算与实验研究

 针对非定常的气相强爆轰过程,建立了气相爆轰的理论计算模型,结合C-J理论和多方气体物态方程,对乙炔-氧气混合气体的强爆轰参数进行了理论估算,并在激波管中开展了化学计量比的乙炔-氧气混合气体的强爆轰实验。对比研究表明：爆速的理论估算值与实验值符合较好,证实了采用C-J理论估算气相强爆轰参数的可行性,计算数据具有一定的参考价值。     

爆轰波在弯管内传播过程数值分析

应用基元反应模型和频散可控耗散格式(DCD)对氢氧爆轰波在弯管内的传播过程进行了数值模拟.计算中氢氧混合物化学反应采用了8种组分20个反应方程式.在处理化学反应引起的刚性问题时采用了时间算子分裂的方法.计算结果表明,在弯管小曲率半径壁面附近,由于膨胀稀疏作用,爆轰波强度减弱,在局部出现前导激波与放热反应区的解藕以及二次起爆现象;在弯管大曲率半径壁面上爆轰波在马赫反射和正规反射之间相互转变,使爆轰波加强.弯管内的爆轰现象与弯管曲率半径有关.     

The projection approximation versus an exact solution for X-ray phase contrast imaging, with a plane wave scattered by a dielectric cylinder

We show that exact solutions for an X-ray plane wave scattered by a dielectric cylinder with radius large compared to the radiation wavelength, give almost the same intensity fringes as seen when using the projection approximation (PA) to simulate propagation based phase contrast imaging. The characteristic Argand plane Cornu spiral and hypocycloid from the complex wavefield beyond the cylinder was observed to agree with the PA simulations. Asymptotic approximations to the exact analytical solution simplify to the projection approximation at the centre of the cylinder. The projection approximation underestimates observed fringes at a propagation distance comparable with the cylinder radius, but converges to the exact solution at larger propagation distances. This demonstrates that the complex ray approach of the projection approximation is insufficient, in comparison to the exact approach, when the propagation distances are sufficiently small.     

Scaling of Huygens-front speedup in weakly random media

Front propagation described by Huygens' principle is a fundamental mechanism of spatial spreading of a property or an effect, occurring in optics, acoustics, ecology and combustion. If the local front speed varies randomly due to inhomogeneity or motion of the medium (as in turbulent premixed combustion), then the front wrinkles and its overall passage rate (turbulent burning velocity) increases. The calculation of this speedup is subtle because it involves the minimum-time propagation trajectory. Here we show mathematically that for a medium with weak isotropic random fluctuations, under mild conditions on its spatial structure, the speedup scales with the 4/3 power of the fluctuation amplitude. This result, which verifies a previous conjecture while clarifying its scope, is obtained by reducing the propagation problem to the inviscid Burgers equation with white-in-time forcing. Consequently, field-theoretic analyses of the Burgers equation have significant implications for fronts in random media, even beyond the weak-fluctuation limit.     

Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems

This paper deals with stochastic spectral methods for uncertainty propagation and quantification in nonlinear hyperbolic systems of conservation laws. We consider problems with parametric uncertainty in initial conditions and model coefficients, whose solutions exhibit discontinuities in the spatial as well as in the stochastic variables. The stochastic spectral method relies on multi-resolution schemes where the stochastic domain is discretized using tensor-product stochastic elements supporting local polynomial bases. A Galerkin projection is used to derive a system of deterministic equations for the stochastic modes of the solution. Hyperbolicity of the resulting Galerkin system is analyzed. A finite volume scheme with a Roe-type solver is used for discretization of the spatial and time variables. An original technique is introduced for the fast evaluation of approximate upwind matrices, which is particularly well adapted to local polynomial bases. Efficiency and robustness of the overall method are assessed on the Burgers and Euler equations with shocks.     

Ray Modes in Random Gap Systems

A disordered photonic crystal with spectral degeneracies in the form of Dirac nodes is considered. Disorder can create a random gap at the Dirac nodes, which leads to the formation of random edge modes. We study the distribution of these edge modes and find from symmetry considerations that the discrete anisotropy of the photonic crystal is spontaneously broken for the propagation of photons from a local photon source. This effect can be understood as the spontaneous creation of a ray mode or as the creation of a one‐dimensional waveguide in a two‐dimensional photonic crystal through strong random scattering. The phenomenon must be distinguished from Anderson localization of photons in a single band crystal and can be considered as angular localization, since it creates geometric states rather than confining the photons to an area of the size of the localization length. The propagation of the photon intensity is described by a Fokker‐Planck equation, whose drift term is determined by the spectrum of the photonic crystal near the Dirac node.     

3D reconstruction of nanocrystalline particles from a single projection

This paper describes an approach to retrieve the three-dimensional atomic structure of a nanocrystalline particle from the reconstructed electron exit wave function in a single projection direction. The method employs wave propagation to determine the local exit surface of each atomic column together with its mass. The exit wave in between colums is used as internal calibration so as to remove the background noise and improve the precision to the level of single atom sensitivity. The validity of the approach is tested with exit wave functions of a gold wedge reconstructed from simulated images containing different levels of noise.     

Wave propagation in heterogeneous bistable and excitable media

Two examples for the propagation of traveling waves in spatially non-uniform media are studied: (a) bistable media with periodically varying excitation threshold and (b) bistable and excitable media with randomly distributed diffusion coefficient and excitation properties. In case (a), we have applied two different singular perturbation techniques, namely averaging (first and second order) and a projection method, to calculate the averaged front velocity as a function of the spatial period L of the heterogeneity for the Schlögl model. Our analysis reveals a velocity overshoot for small values of L and propagation failure for large values of L. The analytical predictions are in good agreement with results of direct numerical simulations. For case (b), effective medium properties are derived by a self-consistent homogenization approach. In particular, the resulting velocities found by direct numerical simulations of the random medium are reproduced well as long as the diffusion lengths in the medium are larger than the heterogeneity scale. Simulations reveal also that complex irregular dynamics can be triggered by heterogeneities.     

Mutual optical intensity propagation through non‐ideal mirrors

The mutual optical intensity (MOI) model is extended to include the propagation of partially coherent radiation through non‐ideal mirrors. The propagation of the MOI from the incident to the exit plane of the mirror is realised by local ray tracing. The effects of figure errors can be expressed as phase shifts obtained by either the phase projection approach or the direct path length method. Using the MOI model, the effects of figure errors are studied for diffraction‐limited cases using elliptical cylinder mirrors. Figure errors with low spatial frequencies can vary the intensity distribution, redistribute the local coherence function and distort the wavefront, but have no effect on the global degree of coherence. The MOI model is benchmarked against HYBRID and the multi‐electron Synchrotron Radiation Workshop (SRW) code. The results show that the MOI model gives accurate results under different coherence conditions of the beam. Other than intensity profiles, the MOI model can also provide the wavefront and the local coherence function at any location along the beamline. The capability of tuning the trade‐off between accuracy and efficiency makes the MOI model an ideal tool for beamline design and optimization.     

Holographic Image Denoising using Random Laser Illumination

In holographic applications, coherent lasers are indispensable source of illumination. Despite high intensity from coherent light sources, they fail in full-field image projection and illustrate speckle images due to high spatial coherence. This article demonstrates speckle-free high contrast computer-generated holographic image projection upon illumination with a perovskite–polystyrene 10 wt%-based random laser. Solvent-engineered efficient and durable perovskite and perovskite–polystyrene 10 wt%-based random lasers are fabricated. Optical characterizations are elucidated and controlled coherence random lasing operation is achieved under room temperature upon addition of polystyrene concentration 10 wt% on perovskite thin film. The addition of 10 wt% polystyrene concentration results in a low far-field divergence angle of ≈10⁰. The controlled coherence in random lasers is necessary to produce a stable interference pattern and to retain the depth of field in holograms. Additionally, the holographic image projection using random lasers reduces diffraction noise, and exhibits high spatial resolution with full-field imaging. Moreover, this study is clear evidence of an effective strategy to achieve high-performance, indigenous designed-controlled coherence in disordered random lasing media and its application to novel holographic image projection.     

Features of the energy structure of acoustic fields in the ocean with two-dimensional random inhomogeneities

The paper is devoted to the analytic study and numerical simulation of mid-frequency acoustic signal propagation in a two-dimensional inhomogeneous random shallow-water medium. The study was carried out by the cross section method (local modes). We present original theoretical estimates for the behavior of the average acoustic field intensity and show that at different distances, the features of propagation loss behavior are determined by the intensity of fluctuations and their horizontal scale and depend on the initial regular parameters, such as the emission frequency and size of sound losses in the bottom. We establish analytically that for the considered waveguide and sound frequency parameters, mode coupling effect has a local character and weakly influences the statistics. We establish that the specific form of the spatial spectrum of sound velocity inhomogeneities for the statistical patterns of the field intensity is insignificant during observations in the range of shallow-water distances of practical interest.