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An Improved Series Expansion Method to Accelerate the Multi-Frequency Acoustic Radiation Prediction 一种改进的序列展开法加速多频声辐射预测
Q1 Mathematics Pub Date : 2015-02-16 DOI: 10.1142/S0218396X14500155
Qunlin Zhang, Y. Mao, D. Qi, Yuanyuan Gu
Multi-frequency calculation is usually very time-consuming due to the repeated numerical integration for numerous frequencies in acoustic scattering or radiation problems. A series expansion method has been proposed to speed up this process just by taking the frequency-dependent terms out of the integral sign. However, this method, constrained by the number of truncation terms, is only applicable to low and medium frequencies and/or small-size structures. This paper develops an improved series expansion method that can be employed in a wider frequency band and larger-scale problems but with less computing expense. In the present method, the frequency-dependent term kr in the integral kernel is firstly transformed into the range from -π to π due to the periodicity of sine and cosine functions. Afterwards, truncation error would be kept reasonably small while the number of expansion terms would not increase with kr. Test cases of acoustic radiation from a pulsating sphere and a cat's eye structure are conducted and numerical results show significant reduction of computational time but suffering little accuracy loss for multi-frequency problems with this approach.
在声散射或声辐射问题中,由于需要对多个频率进行重复的数值积分,多频计算非常耗时。提出了一种级数展开方法,通过将频率相关项从积分符号中去掉来加快这一过程。然而,该方法受截断项数量的限制,仅适用于中低频和/或小尺寸结构。本文提出了一种改进的级数展开方法,可用于更宽的频带和更大规模的问题,但计算费用更少。在该方法中,首先利用正弦和余弦函数的周期性,将积分核中的频率相关项kr转换为-π到π的范围。通过脉动球和猫眼结构的声辐射实验,结果表明,该方法在解决多频问题时,计算时间明显减少,但精度损失较小。
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引用次数: 8
Time Reversal for Elastic Wave Refocusing and Scatterer Location Recovery 弹性波重聚焦和散射体定位恢复的时间反演
Q1 Mathematics Pub Date : 2015-02-16 DOI: 10.1142/S0218396X14500131
Izhak Levi, Eli Turkel, D. Givoli
Time reversal is a powerful procedure in application fields involving wave propagation. It is based on the invariance of the wave equations, in the absence of dissipation, in the time direction. This allows going backward in time to recover past events. We use time reversal to recover the location of a source applied at the initial time based on measurements at a later time. We generalize the procedure previously developed for the scalar wave equation1 to elastodynamics. We show that the technique is quite robust, sometimes even in the presence of very high noise levels. Also it is not very sensitive to the medium characterizations, when a sufficient amount of measurement data is available. We extend previous work to get good refocusing for multiple sources. We introduce a new score to assess the quality of the numerical solution for the refocusing problem which produces good results. Furthermore, we use the refocusing technique as a basis for scatterer location recovery. By adding noise in a controlled manner we improve the scheme of finding the location of the scatterer.
时间反转是波传播应用领域中一种强有力的方法。它是基于波动方程的不变性,在没有耗散的情况下,在时间方向上。这允许时间倒流,恢复过去的事件。我们使用时间反转来恢复在初始时间施加的源的位置,该位置基于稍后时间的测量。我们将先前为标量波动方程开发的程序推广到弹性动力学。我们表明,这项技术是相当稳健的,有时甚至在存在非常高的噪音水平。此外,当有足够的测量数据时,它对介质特性不是很敏感。我们扩展了以前的工作,以获得多个源的良好重新聚焦。我们引入了一个新的分数来评价重聚焦问题的数值解的质量,并取得了良好的结果。此外,我们使用重聚焦技术作为散射体定位恢复的基础。通过可控地添加噪声,我们改进了寻找散射体位置的方案。
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引用次数: 18
A Numerical Investigation on Sound Absorption Mechanism of Micro Resonator with Offset Slits 偏置狭缝微腔吸声机理的数值研究
Q1 Mathematics Pub Date : 2015-02-16 DOI: 10.1142/S0218396X15500010
Jun Xu, Xiaodong Li, Yueping Guo
Acoustic liners are widely used in commercial aero-engine to suppress noise. In theoretical investigations, the liner geometry is often assumed as an array of symmetric micro resonator with orifice or slit at the center. However, in real application, orifices or slits distributed in micro resonator are offset. For better understanding of sound absorption mechanism of micro resonator with offset slits under high incident sound pressure level (SPL), direct numerical simulations (DNS) using high order low dispersion and low dissipation computational aeroacoustics (CAA) method are carried out. The simulations are first validated by experimental data, showing good agreement and establishing the relevance of the simulation methodology. Numerical simulations of resonators with single offset slit or two slits are then conducted. The two sound absorption mechanisms, namely viscous dissipation and vortex shedding, are discussed with detailed numerical data and analysis, which lead to quantitative parametric description of the energy partition between the two mechanisms as a function of both frequency and geometry. It is shown that offset slit can reduce vortex shedding and results in less sound absorption. The effects of more than one slit are, however, opposite; more vortex shedding occurs with more slits so that sound absorption is enhanced. This may potentially help guide liner design in practical applications.
消声衬套广泛应用于商用航空发动机的噪声抑制中。在理论研究中,通常将线性几何假设为中心有孔或狭缝的对称微谐振器阵列。但在实际应用中,微谐振腔内分布的孔或狭缝存在偏置现象。为了更好地理解高入射声压级(SPL)条件下偏置狭缝微谐振腔的吸声机理,采用高阶低色散低耗散计算气动声学(CAA)方法进行了直接数值模拟(DNS)。首先用实验数据对模拟结果进行验证,结果吻合较好,建立了模拟方法的相关性。然后对具有单偏置狭缝和双偏置狭缝的谐振腔进行了数值模拟。通过详细的数值数据和分析,讨论了粘性耗散和涡旋脱落两种吸声机制,得到了两种吸声机制之间能量分配随频率和几何的函数的定量参数描述。结果表明,偏置狭缝可以减少旋涡脱落,减少吸声。然而,多个狭缝的效果是相反的;狭缝越多,旋涡脱落越多,吸声效果越好。这可能有助于在实际应用中指导尾管设计。
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引用次数: 5
A Waveguide-Invariant-Based Warping Operator and Its Application to Passive Source Range Estimation 基于波导不变性的翘曲算子及其在无源源距离估计中的应用
Q1 Mathematics Pub Date : 2015-02-16 DOI: 10.1142/S0218396X15500034
Y. Qi, S. Zhou, Renhe Zhang, Yun Ren
A formula for the instantaneous phase of the cross-correlation function of two different modes using the relationship between the horizontal wavenumber difference and frequency described by the waveguide invariant is deduced in this paper. Based on the formula, a waveguide-invariant-based warping operator suitable for both reflected and refracted modes in shallow water at low frequency is presented, providing an effective tool to filter the cross-correlation function of modes from the signal autocorrelation function. Using the phase of the filtered cross-correlation component in the frequency domain, a passive source ranging method on a single hydrophone is proposed. Simulated and experimental data using impulsive signals verify the validity of the derived warping operator and source ranging method.
利用波导不变量描述的水平波数差与频率之间的关系,推导出了两种不同模式的互相关函数的瞬时相位公式。在此基础上,提出了一种适用于浅水低频反射和折射模式的波导不变性翘曲算子,为从信号自相关函数中滤除模式的互相关函数提供了一种有效工具。提出了一种在单水听器上利用滤波后的互关分量在频域中的相位进行被动源测距的方法。脉冲信号的仿真和实验数据验证了所提出的翘曲算子和源测距方法的有效性。
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引用次数: 8
Unified Analysis with Mixed Finite Element Formulation for Acoustic-Porous-Structure Multiphysics System 声-多孔结构多物理场系统的混合有限元统一分析
Q1 Mathematics Pub Date : 2015-02-16 DOI: 10.1142/S0218396X15500022
G. Yoon
This research aims to develop a novel unified analysis method for an acoustic-porous-structure multiphysics interaction system when the porous medium is modeled by the empirical Delany–Bazley formulation. Multiphysics analysis of acoustic structure interaction is commonly performed by solving the linear elasticity and Helmholtz equations separately and enforcing a mutual coupling boundary condition. If the pressure attenuation from a porous material is additionally considered, the multiphysics analysis becomes highly intricate, because three different media (acoustic, porous, and elastic structures) with different governing equations and interaction boundary conditions should be properly formulated. To overcome this difficulty, this paper proposes the application of a novel mixed formulation to consider the mutual coupling effects among the acoustic, fibrous (porous), and elastic structure media. By combining the mixed finite element formulation with the Delany–Bazley formulation, a multiphysics simulation of sound propagation considering the coupling effects among the three media can be easily conducted. To show the validity of the present unified approach, several benchmark problems are considered.
本研究旨在建立一种基于delanyi - bazley经验公式模拟多孔介质时声-孔-结构多物理场相互作用系统的统一分析方法。声学结构相互作用的多物理场分析通常是通过分别求解线性弹性方程和亥姆霍兹方程并施加相互耦合的边界条件来进行的。如果额外考虑多孔材料的压力衰减,则多物理场分析变得非常复杂,因为需要适当地制定具有不同控制方程和相互作用边界条件的三种不同介质(声学、多孔和弹性结构)。为了克服这一困难,本文提出了一种新的混合配方,以考虑声学、纤维(多孔)和弹性结构介质之间的相互耦合效应。将混合有限元公式与Delany-Bazley公式相结合,可以方便地进行考虑三种介质之间耦合效应的声音传播多物理场模拟。为了证明该统一方法的有效性,还考虑了几个基准问题。
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引用次数: 4
The PSTD Method with the 4th-Order Time Integration for 3D TAT Reconstruction of a Breast Model 四阶时间积分PSTD方法用于乳腺模型三维TAT重建
Q1 Mathematics Pub Date : 2014-09-18 DOI: 10.1142/S0218396X14500118
Gang Ye, Chunhua Deng, Q. Liu
The thermoacoustic tomography (TAT) is a novel noninvasive and nonionizing medical imaging modality for breast cancer detection. In the TAT, a short pulse of microwave is irradiated to the breast tissue. The tissue absorbs the microwave energy and is heated up momentarily, thus it generates acoustic waves due to the thermoelastic expansion. If the pulse width of the microwave radiation is around one microsecond, the generated acoustic waves are ultrasonic and are in the MHz range. Wide-band ultrasonic transducers are employed to acquire the time-resolved ultrasound signals, which carry information about the microwave absorption properties (mainly related to conductivities) of different tissues. An image showing such properties can then be reconstructed from the time-resolved ultrasound signals. Most existing TAT reconstruction methods are based on the assumption that the tissue under study is acoustically homogeneous. In practice, however, most biological tissues are inhomogeneous. For example, the speed of sound has about 10% variation in breast tissue. The acoustic heterogeneity will cause phase distortion of the pressure field, which will in turn cause blurring in the reconstructed image, thus limiting the ability to resolve small objects. In this work, a 3D inhomogeneous reconstruction method based on pseudo-spectral time-domain (PSTD) is presented to overcome this problem. The method includes two steps. The first step is a homogeneous reconstruction process, from which an initial image is obtained. Since the inhomogeneity itself is usually an acoustic source, the shape and location of the inhomogeneity can be estimated. Then, the acoustic properties of the inhomogeneities (available from the literatures for known tissue types) are assigned to the classified regions, and the other reconstruction based on the updated acoustic property map is conducted. With this process, the phase distortion can be effectively corrected. So it can improve the ability to image small objects. A 3D breast phantom is used to study the proposed method. The breast phantom was generated based on the data set of the Visible Human Project. Regions of different tissue types have been classified and acoustic and electric properties are assigned to such regions. Small phantom tumors placed in the breast phantom have been reconstructed successfully with the inhomogeneous reconstruction method. Improved resolution has been achieved compared to that obtained by homogeneous method.
热声断层扫描(TAT)是一种新型的无创、非电离的乳腺癌医学成像方式。在TAT中,短脉冲微波被照射到乳房组织。组织吸收微波能量,瞬间受热,由于热弹性膨胀产生声波。如果微波辐射的脉冲宽度约为一微秒,则产生的声波是超声波,并且在MHz范围内。宽带超声换能器用于获取时间分辨超声信号,该信号携带不同组织的微波吸收特性(主要与导电性有关)信息。显示这些特性的图像可以从时间分辨超声信号中重建出来。大多数现有的TAT重建方法都是基于假设所研究的组织在声学上是均匀的。然而,在实践中,大多数生物组织是不均匀的。例如,声速在乳房组织中有大约10%的变化。声的非均匀性会引起压力场的相位畸变,从而导致重建图像的模糊,从而限制了对小物体的分辨能力。本文提出了一种基于伪谱时域(PSTD)的三维非均匀重建方法。该方法包括两个步骤。第一步是均匀重建过程,从中获得初始图像。由于非均匀性本身通常也是声源,因此可以估计非均匀性的形状和位置。然后,将文献中已知组织类型的非均匀性声学属性分配到分类区域,并基于更新后的声学属性图进行其他重建。利用该方法可以有效地校正相位畸变。因此它可以提高对小物体成像的能力。利用三维乳房模型对该方法进行了研究。乳房假体是基于可见人体项目的数据集生成的。不同组织类型的区域已经被分类,声学和电学性质被分配到这些区域。应用非均匀重建方法成功地重建了放置在乳房幻影中的小幻象肿瘤。与均匀法相比,获得了更高的分辨率。
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引用次数: 2
Axisymmetric Wave Propagation in Uniform Gas Flow Confined by Rigid-Walled Pipeline 刚壁管道约束下均匀气体流动中的轴对称波传播
Q1 Mathematics Pub Date : 2014-09-18 DOI: 10.1142/S0218396X14500143
Yong Chen, Yiyong Huang, Xiaoqian Chen, Dengpeng Hu
This paper deals with the axisymmetric acoustic wave propagating along the perfect gas in the presence of a uniform flow confined by a rigid-walled pipeline. Under the linear acoustic assumption, mathematical formulation of wave propagation is deduced from the conservations of mass, momentum and energy. Meanwhile a method based on the Fourier–Bessel theory is introduced to solve the problem. Comprehensive comparisons of the phase velocity and wave attenuation between the non-isentropic and isentropic acoustic waves are provided. Meanwhile the effects of flow profile, acoustic frequency, and pipeline radius are analyzed.
本文研究了在刚性壁管道内均匀流动时沿理想气体传播的轴对称声波。在线性声学假设下,从质量、动量和能量守恒出发,推导出波传播的数学公式。同时提出了一种基于傅里叶-贝塞尔理论的求解方法。对非等熵声波和等熵声波的相速度和波衰减进行了全面比较。同时分析了流型、声频、管道半径等因素对流型的影响。
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引用次数: 6
Acoustic Band Gap Extension in One-Dimensional Solid/Fluid Phononic Crystal Heterostructure 一维固体/流体声子晶体异质结构的能带扩展
Q1 Mathematics Pub Date : 2014-09-18 DOI: 10.1142/S0218396X14500106
X. Xiao, R. Chen
The propagation of elastic longitudinal waves in one-dimensional (1D) phononic crystals (PNCs) consisting of alternating solid and fluid media is comprehensively analyzed in theory. We demonstrate the acoustic band gap (ABG) structure determined by the dispersion relation for longitudinal waves at normal incidence. According to the band structure, we design a sub-PNC by setting a reasonable thickness ratio of fluid and solid media, and then form a phononic heterostructure by merging this PNC and other PNC designed in advance. We have shown that the wide band gap exists in such a phononic heterostructure for elastic longitudinal waves at normal incidence. For oblique incidence, the wide band gap shifts towards high frequency regions, meanwhile a low-frequency band gap is split.
从理论上全面分析了弹性纵波在由固体和流体交替介质组成的一维声子晶体中的传播。本文研究了由垂直入射纵波色散关系决定的声波带隙结构。根据能带结构,我们通过设定合理的流固介质厚度比设计了一个子PNC,然后将该PNC与之前设计的其他PNC合并形成声子异质结构。我们已经证明,在这种声子异质结构中,弹性纵波在法向入射时存在宽带隙。斜入射时,宽带隙向高频区偏移,低频带隙分裂。
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引用次数: 3
A Parametric Study of Sound Focusing in Shallow Water by Using Acoustic Contrast Control 基于声对比度控制的浅水声聚焦参数化研究
Q1 Mathematics Pub Date : 2014-09-18 DOI: 10.1142/S0218396X1450012X
Yi Wei Lin, G. Too
Acoustic contrast control is a sound focusing technique applied to personal audio system devices to provide the optimal sound contrast for increasing or decreasing the potential sound energy of a specific area. In this study, acoustic contrast control was developed for sound focusing in shallow water. The advantage of this technique is the establishment of two zones: a bright zone around the user and a dark zone for other regions. In the acoustic contrast control process, computational ocean acoustics are used to calculate the Green's function between the source point and the field point. The effects of environmental parameters, which comprised the number of control sources, transmission frequency, control distances between sources and control zone of a geometric location were simulated. The results show that acoustic contrast control is an effective approach for sound focusing in shallow water that can increase the potential sound energy of a specific area. Employing this technique can also enhance underwater communications by using frequency-shift keying modulation for cross-talking applications.
声学对比控制是一种应用于个人音频系统设备的声音聚焦技术,通过增加或减少特定区域的潜在声能来提供最佳的声音对比度。在本研究中,声学对比度控制被开发用于浅水声聚焦。这种技术的优点是建立了两个区域:用户周围的明亮区域和其他区域的暗区。在声学对比控制过程中,采用计算海洋声学方法计算声源点与声场点之间的格林函数。仿真了控制源数量、传输频率、源间控制距离和几何位置控制区等环境参数的影响。结果表明,声对比度控制是一种有效的浅水声聚焦方法,可以增加特定区域的潜在声能。采用该技术还可以通过在串扰应用中使用移频键控调制来增强水下通信。
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引用次数: 2
Numerical Validation of a Time Domain Perforated Plate Model with Nonlinear and Inertial Effects 考虑非线性和惯性效应的时域穿孔板模型的数值验证
Q1 Mathematics Pub Date : 2014-09-18 DOI: 10.1142/S0218396X1450009X
G. Jourdain, L. Eriksson
A time domain perforated plate model based on the "homogenization" concept is presented; the dynamic porous wall model. This model takes into account linear and nonlinear losses as well as inertial effects due to the unsteady flow in the vicinity of the holes. A numerical validation of the dynamic porous wall model is performed via the computation of the impedance versus frequency for an acoustic liner consisting of a solid wall back sheet and a perforated face sheet, separated by a given distance. Two types of unsteady flow are considered; firstly 3D LES in which the holes in the perforated face sheet are fully resolved, and secondly 2D URANS simulations in which the dynamic porous wall model is used to include the effects of the perforated face sheet. Comparisons of the results show that the new dynamic porous wall model captures both nonlinear and inertial effects well.
提出了一种基于“均质化”概念的时域多孔板模型;动态多孔壁模型。该模型考虑了孔附近非定常流引起的线性和非线性损失以及惯性效应。动态多孔壁模型的数值验证是通过计算由固体壁背板和穿孔面板组成的声学衬里的阻抗与频率进行的,它们被给定的距离分开。考虑了两种非定常流;首先对多孔工作面上的孔进行了完全解析的三维LES模拟,其次对二维URANS模拟进行了考虑多孔工作面影响的动态多孔壁模型模拟。结果表明,新的动态多孔壁模型能很好地捕捉非线性和惯性效应。
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引用次数: 4
期刊
Journal of Computational Acoustics
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