计算气动声学的问题、方法与进展

本文简要介绍了气动声学理论的发展和现状，探讨了用数值方法处理气动声学问题的必要性和必然性，指出此方面研究急待解决的问题是建立准确模拟波运动特征的差分方程和无反射边界条件处理，最后讨论了在有限条件下可作先行研究的数值方法和理论问题．     

应用于计算气动声学的优化有限紧致格式

对于含间断的计算气动声学问题,数值计算的格式不仅要求低耗散低色散的设计,对短波具有较高的分辨率,还要求能捕捉激波.中心紧致格式具有高精度,具有无耗散和低色散特征,但不能捕捉间断和激波;WENO格式处理间断较为成功,而耗散和色散误差相对较大.有限紧致格式可以将紧致格式与WENO格式相结合构造成混合格式,利用光滑因子之间的关系对激波区域进行自动判断,将传统的全域求解的紧致格式划分为有限的局部紧致求解,间断点上的激波捕捉铜梁自动作为局部紧致求解的边界通量,在在光滑区域具有紧致格式的高精度低耗散性质,在激波附近不产生非物理振荡.本文利用有限紧致格式思想,构造了新的适合于气动声学问题的优化有限紧致格式,将其应用于计算气动声学一维标准测试问题,对相关格式的模拟性能进行了评估,显示该格式在宽频声波传播和含有间断的声波传播模拟方面具有优势.     

一种考虑薄壁散射效应的声学计算模型

采用薄壁边界元/FW-H理论混合方法建立了考虑薄壁声学散射效应的数值计算模型.这种声学计算模型可以预测存在薄壁如风扇机匣、蜗壳等条件下的声波的传播及散射问题.计算模型的建立主要包含噪声源的计算和声源的传播两方面:首先建立FW-H的频域方程,并采用计算流体力学方法计算流场,通过流场数据计算气动噪声源;然后采用薄壁面边界元法计算固壁对声波的散射,并计算声波在固壁散射后的声场分布.数值计算结果和实验结果及经典的叶轮机管道风扇噪声理论进行了对比,结果表明,这种计算模型与理论计算结果及实验结果吻合较好,可以准确的预测机匣壁的散射效应对声源传播的影响.     

一种求解反应扩散方程（组）的初边值问题的快速数值方法

本文提出了一种数值求解反应扩散方程（组）的快速差分方法。差分近似的总截断误差为Ｏ（△ｘ＾２，△ｔ＾２，（△ｔ／△ｘ）＾２）。相容性、稳定性分析表明此差分格式能够有效地抑制非线性项带来的刚性效应和短波不稳定性。对１维和２维的Ｆｉｔｚｈｕｇｈ－Ｎａｇｕｍｏ（ＦＨＮ）方程的数值模拟表明此方法具有计算速度快，稳定性好（△ｘ，△ｔ）的稳定区域较宽，晚皇在高维空间中推广等优点，是数值求解反应扩散方程较好的数值     

开式转子噪声数值模拟与试验研究

为了研究开式转子在低速起飞工况下的噪声特性,运用计算流体力学(CFD)和计算气动声学(CAA)相结合的方法,对开式转子的离散噪声做了数值模拟。采用非线性谐波法(NLH)对开式转子的非定常流场进行计算,非定常分量和叶面定常载荷一同构建类比声源,最后使用FW-H积分法进行远场噪声辐射计算,获取远场多点的噪声频谱结果。搭建了开式转子试验台,使用0°～90°远场指向性阵列测试了指向角区间内的噪声特性结果,并与数值模拟结果进行对比。研究结果表明：干涉噪声是开式转子的主要噪声;关键频率处的数值模拟结果与试验结果趋势基本一致,误差在3 dB以内;所建立的非线性谐波法频域内展开求解非定常扰动量的气动噪声数值模拟方法,可以为开式转子噪声的快速准确预测提供一定的帮助。     

带制退器的膛口射流噪声数值模拟与实验研究

为了研究膛口装置对膛口噪声气动特性的影响，对带膛口制退器的某小口径武器的膛口射流噪声进行了数值模拟和实验研究。采用计算流体力学CFD (computational fluid dynamics)-计算气动声学CAA (computational aeroacoustics)耦合算法对膛口噪声进行数值模拟，即对膛口流场进行瞬态CFD模拟，获取流场数据，然后利用所得到的结果采用声学方程模拟声源信息求解声场。基于数值模拟结果，分析了膛口流场变化及噪声的指向性分布，并与实验结果进行了对比。研究表明:膛口制退器的安装改变了膛口流场结构，影响了膛口射流噪声的指向性分布。计算结果与实验结果的误差小于9%，验证了该计算方法的可行性。研究结果可为膛口射流噪声的预测及膛口制退器的设计提供一定的参考。     

高速列车车体长度对气动噪声影响的数值研究

高速列车具有细长形状, 数值评估气动噪声往往需要巨大的计算量.目前对高速列车气动噪声的数值模拟大多基于对简化短编组列车的评估,而实际列车通常具有较长的8$\sim$16节编组.如何基于现有条件合理评价真实长度列车的气动噪声,是一个急需探讨的问题. 本文应用非线性声学求解器(NLAS)和FW--H声学比拟法的混合算法, 先求解噪声积分面上的声场脉动,再进行远场积分, 引入多噪声面积分技术,通过对三种不同长度(3节、4节、6节)列车模型的气动性能和噪声数值模拟,分析了车体长度对列车气动噪声的影响. 结果表明,同一列车模型的各节车厢具有相似的沿线噪声分布,其噪声曲线在量值上十分接近,只是主峰位置会随着车厢空间位置的不同而相应地发生偏移;不同长度编组列车对应部位之间的远场噪声特性具有较强的关联性,它们的远场噪声具有接近的总声压级和噪声频谱.通过利用短编组计算数据进行分解、平移和叠加,成功重构了4编组和6编组列车远场噪声特性,与直接计算结果相比误差在可接受范围内.由此发展了基于短编组列车噪声的数值结果,重构长编组列车沿线噪声的近似评估方法.      

高速列车车体长度对气动噪声影响的数值研究

高速列车具有细长形状,数值评估气动噪声往往需要巨大的计算量.目前对高速列车气动噪声的数值模拟大多基于对简化短编组列车的评估,而实际列车通常具有较长的8～16节编组.如何基于现有条件合理评价真实长度列车的气动噪声,是一个急需探讨的问题.本文应用非线性声学求解器(NLAS)和FW–H声学比拟法的混合算法,先求解噪声积分面上的声场脉动,再进行远场积分,引入多噪声面积分技术,通过对三种不同长度(3节、4节、6节)列车模型的气动性能和噪声数值模拟,分析了车体长度对列车气动噪声的影响.结果表明,同一列车模型的各节车厢具有相似的沿线噪声分布,其噪声曲线在量值上十分接近,只是主峰位置会随着车厢空间位置的不同而相应地发生偏移;不同长度编组列车对应部位之间的远场噪声特性具有较强的关联性,它们的远场噪声具有接近的总声压级和噪声频谱.通过利用短编组计算数据进行分解、平移和叠加,成功重构了4编组和6编组列车远场噪声特性,与直接计算结果相比误差在可接受范围内.由此发展了基于短编组列车噪声的数值结果,重构长编组列车沿线噪声的近似评估方法.     

广义有限差分法在含阻抗边界空腔声学分析中的应用

声学分析在噪声控制、室内隔音等工程计算中有着重要的作用. 由于现实生活中的声学模型往往伴随着吸声材料, 因此分析含阻抗边界条件的声学问题显得十分必要. 广义有限差分法是一种新型区域型无网格数值离散方法, 该方法基于多元函数泰勒级数展开式和加权最小二乘拟合, 将控制方程中未知参量的各阶偏导数表示为相邻节点函数值的线性组合. 本文首次将广义有限差分法应用于含阻抗边界条件空腔声学问题的分析中, 建立了空腔声场问题的广义有限差分法数值离散格式. 与传统算法相比, 所建立的数值模型具有无需网格剖分和数值积分、计算精度高、适用于大规模声学分析等优点. 通过具有解析解的经典算例, 研究了总节点数目和局部支撑点数目对数值结果的影响, 得到了最大计算频率与节点间距之间关系的经验公式. 此外, 将广义有限差分法应用于无解析解的二维和三维复杂声学模型, 并与COMSOL Multiphysics软件所得的有限元结果进行了比较分析. 数值实验表明, 该算法是一种高效、精确、稳定、收敛的数值模拟方法, 在含阻抗边界空腔声学分析中具有广阔的应用前景.      

pFFT快速边界元方法模拟三维声散射

研究了用pFFT快速边界元方法模拟声散射问题的关键技术。采用Burton—Miller方程消除了声学边界元方法中外问题解的不唯一现象。为此,文中研究了采用常量元时该方程中超奇异积分的计算方法。最后,通过对平面声波的刚性圆球声散射的数值模拟,验证了建立的声学pFFT快速边界元方法。     

Absorbing Boundary Conditions

Absorbing boundary conditions for computational aeroacoustics (CAA) are reviewed. Commonly used absorbing zonal techniques, such as sponge layers and buffer zones, as well as perfectly matched layers (PML) are discussed. The basic ideas and central results of these methods are surveyed and summarized. Special attention will be given to the recently emerged PML technique and its application to CAA. Numerical examples are presented for PML in duct acoustics. A comparison of PML and non-PML absorbing boundary conditions will also be given.     

Review of Computational Aeroacoustics Algorithms

This paper presents a review of recent advancements in computational methodology for aeroacoustics problems. High-order finite difference methods for computation of linear and nonlinear acoustic waves are the primary focus of the review. Schemes for numerical simulation of linear waves include explicit optimized and DRP finite-difference operators, compact schemes, wavenumber extended upwind schemes and leapfrog-like algorithms. Both spatial approximations and time-integration techniques, which include low-dissipation low-dispersion Adams-Bashforth and Runge-Kutta (RK) methods, are examined. Wave propagation properties are analysed in the wavenumber and frequency space. Different approaches to eliminate short-wave spurious numerical waves are also reviewed. Methods for simulating nonlinear acoustic phenomena include essentially non-oscillatory (ENO) schemes, numerical adaptive filtering for high-order explicit and compact finite-difference operators, MacCormack and adaptive compact nonlinear algorithms. A literature survey of other CAA methods is provided in the introductory part.     

Recent advances of computational aeroacoustics

Computational aeroacoustics (CAA) is an interdiscipline of aeroacoustics and computational fluid dynamics (CFD) for the investigation of sound generation and propagation from various aeroacoustics problems. In this review, the foundation and research scope of CAA are introduced firstly. A review of the early advances and applications of CAA is then briefly surveyed, focusing on two key issues, namely, high order finite difference scheme and non-reflecting boundary condition. Furthermore, the advances of CAA during the past five years are highlighted. Finally, the future prospective of CAA is briefly discussed.     

Non-homogeneous radiation and outflow boundary conditions simulating incoming acoustic and vorticity waves for exterior computational aeroacoustics problems

A set of non-homogeneous radiation and outflow boundary conditions which automatically generate prescribed incoming acoustic or vorticity waves and, at the same time, are almost transparent to outgoing sound waves produced internally in a finite computation domain is proposed. This type of boundary condition is needed for the numerical solution of many exterior aeroacoustics problems. In computational aeroacoustics, the computation scheme must be as non-dispersive and non-dissipative as possible. It must also support waves with wave speeds which are nearly the same as those of the original linearized Euler equations. To meet these requirements, a high-order/large-stencil scheme is often necessary. The proposed non-homogeneous radiation and outflow boundary conditions are designed primarily for use in conjunction with such high-order/large-stencil finite difference schemes. © 1998 John Wiley & Sons, Ltd.     

Radiation and Wall Boundary Conditions for Computational Aeroacoustics: A Review

A review of unsteady computational boundary conditions for computational aeroacoustics (CAA) problems is presented. This review is meant to serve as a general overview of previous work on solid wall, radiation and outflow boundary conditions that have been proposed and used in CAA calculations. Both the physical nature of the boundary condition problem as well as the numerical considerations affecting their implementation are discussed.     

Strictly stable high order difference approximations for computational aeroacoustics

High order finite difference approximations with improved accuracy and stability properties have been developed for computational aeroacoustics (CAA). One of our new difference operators corresponds to Tam and Webb's DRP scheme in the interior, but is modified near the boundaries to be strictly stable. A unified formulation of the nonlinear and linearized Euler equations is used, which can be extended to the Navier–Stokes equations. The approach has been verified for 1D, 2D and axisymmetric test problems. We have simulated the sound propagation from a rocket launch before lift-off. To cite this article: B. Müller, S. Johansson, C. R. Mecanique 333 (2005).     

基于非结构/混合网格的高阶精度格式研究进展

尽管以二阶精度格式为基础的计算流体力学(CFD) 方法和软件已经在航空航天飞行器设计中发挥了重要的作用, 但是由于二阶精度格式的耗散和色散较大, 对于湍流、分离等多尺度流动现象的模拟, 现有成熟的CFD 软件仍难以给出满意的结果, 为此CFD 工作者发展了众多的高阶精度计算格式. 如果以适应的计算网格来分类, 一般可以分为基于结构网格的有限差分格式、基于非结构/混合网格的有限体积法和有限元方法,以及各种类型的混合方法. 由于非结构/混合网格具有良好的几何适应性, 基于非结构/混合网格的高阶精度格式近年来备受关注. 本文综述了近年来基于非结构/混合网格的高阶精度格式研究进展, 重点介绍了空间离散方法, 主要包括k-Exact 和ENO/WENO 等有限体积方法, 间断伽辽金(DG) 有限元方法, 有限谱体积(SV) 和有限谱差分(SD) 方法, 以及近来发展的各种DG/FV 混合算法和将各种方法统一在一个框架内的CPR (correctionprocedure via reconstruction) 方法等. 随后简要介绍了高阶精度格式应用于复杂外形流动数值模拟的一些需要关注的问题, 包括曲边界的处理方法、间断侦测和限制器、各种加速收敛技术等. 在综述过程中, 介绍了各种方法的优势与不足, 其间介绍了作者发展的基于"静动态混合重构" 的DG/FV 混合算法. 最后展望了基于非结构/混合网格的高阶精度格式的未来发展趋势及应用前景.     

Computational Aeroacoustics: An Overview of Computational Challenges and Applications

The objective of this paper is to present an overview of recent advances in computational aeroacoustics (CAA). During the last decade, CAA has developed quite independent of computational fluid dynamics (CFD). There are computational issues that are unique to CAA and are, generally, not considered in CFD. In this paper, these issues are discussed and explained. In CAA, there is a great need to resolve high-frequency short waves with the minimum number of mesh points per wavelength. There is also a special need to minimize numerical dispersion and dissipation associated with wave propagation computation. All these have led to the development of large-stencil high-resolution schemes for CAA. A careful examination of dispersion and dissipation errors due to spatial and temporal discretization is provided. These errors are quantified and analyzed in wave number space through the use of Fourier-Laplace transforms. At this time, some of the original computational challenges to CAA have been resolved satisfactorily. A discussion of how some of these computational issues are resolved is presented. Several important CAA applications with interesting or unusual computational innovations are highlighted. Finally, a few of the most pressing outstanding computational challenges to CAA are elaborated.     

Contributions of Computational Aeroacoustics to Jet Noise Research and Prediction

A brief review of recent progress in the field of computational aeroacoustics (CAA) is proposed. This paper is complementary to the previous reviews of Tam [(1995a) “Computational aeroacoustics: issues and methods”, AIAA J. 33(10), 1788–1796], Lele [(1997) “Computational Aeroacoustics: a review”, AIAA Paper 97–0018, 35th Aerospace Sciences Meeting and Exhibit, Reno, Nevada] and Glegg [(1999) “Recent advances aeroacoustics: the influence of computational fluid dynamics”, 6th International Congress on Sound and Vibration, Copenhagen, Danemark, 5–8 July, 43–58] on advances in CAA. After a short introduction concerning the current motivations of jet noise studies, connections between computational fluid dynamics (CFD) and CAA using hybrid approaches are discussed in the first part. The most spectacular advances are probably provided by the direct computation of jet noise, and some recent results are shown in the second part.     

Development of Computational Aeroacoustics Tools for Airframe Noise Calculations

This paper discusses the development of computational aeroacoustics (CAA) tools for airframe noise analysis and prediction. We review recent progress in this topic, but emphasize our vision for the future development of such tools. Our intention is for this vision to drive future CAA research in directions that will accelerate widespread use of CAA for airframe noise applications. We discuss the needs for accuracy, efficiency, and easy interface with other design tools and illustrate how CAA tools may help future aircraft design. We explain what appears to be achievable in a 20-year time frame, and what goals will probably take longer.

Important barrier issues include the effects of numerical dispersion and dissipation, the treatment of highly curved, irregular boundary surfaces, and grid generation. Beyond these largely numerical issues, we discuss the role of physics-based modeling, including turbulence modeling in unsteady flow computations and the importance of developing sophisticated techniques for analyzing results of computations. Numerical simulations combined with the acoustic analogy methodology to predict noise are also reviewed. Finally, we discuss how to use recent advances in measurement techniques for CAA tool validation, which is an integral part of future development.