CN104091085A - Cavitation noise feature estimation method based on propeller wake flow pressure fluctuation computing - Google Patents
Cavitation noise feature estimation method based on propeller wake flow pressure fluctuation computing Download PDFInfo
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Abstract
本发明公开了基于螺旋桨尾流压力脉动计算的空化噪声特征估计方法,属于水声目标特征提取领域。基于螺旋桨尾流压力脉动计算的空化噪声特估计取方法,包括以下步骤:(1)备用网格生成并导入计算程序后生成算例文件,(2)空化模型和湍流模型设定,(3)数值计算参数设定,(4)数值计算,(5)数值方法可靠性验证及网格确定,(6)空化尾流压力脉动非定常数值计算,(7)压力脉动信号功率谱变换及低频线谱幅值提取,(8)线谱特征估计及分析。本发明将现代流体力学、空泡动力学和信号处理领域中相关研究成果引入水下目标的噪声特征分析,体现多学科和多领域的交叉性。
The invention discloses a cavitation noise feature estimation method based on propeller wake pressure fluctuation calculation, and belongs to the field of underwater acoustic target feature extraction. The cavitation noise characteristic estimation method based on the calculation of propeller wake pressure fluctuations includes the following steps: (1) generate a spare grid and import it into the calculation program to generate a calculation example file, (2) set the cavitation model and turbulence model, ( 3) Numerical calculation parameter setting, (4) Numerical calculation, (5) Numerical method reliability verification and grid determination, (6) Cavitation wake pressure fluctuation unsteady numerical calculation, (7) Pressure fluctuation signal power spectrum transformation and low-frequency line spectrum amplitude extraction, (8) line spectrum feature estimation and analysis. The invention introduces relevant research achievements in the fields of modern fluid mechanics, cavitation dynamics and signal processing into the noise characteristic analysis of underwater targets, reflecting the interdisciplinary nature of multiple disciplines and multiple fields.
Description
技术领域 technical field
本发明涉及水声目标特征提取领域,具体地说,涉及基于螺旋桨尾流压力脉动计算的空化噪声特征估计方法。 The invention relates to the field of underwater acoustic target feature extraction, in particular to a cavitation noise feature estimation method based on calculation of propeller wake pressure fluctuations. the
背景技术 Background technique
螺旋桨噪声是船舶三大噪声源之一,包含了目标推进器种类信息和结构特征,这些特征宽容性强,具有较好的可分性,是识别水下目标的主要特征和重要依据。而空化一旦出现,空化噪声就成为螺旋桨主要噪声。这些目标源噪声由于被海洋环境噪声干扰和在复杂的水声信道传播中而产生畸变,使得被动声纳所接收到的噪声信号特征不明显,信噪比降低。因此传统的以信号处理方法提取噪声特征,进行水下目标识别越来越困难。进一步挖掘螺旋桨噪声本质特征是水下目标识别急待解决的问题。 Propeller noise is one of the three major noise sources of ships. It contains information on the type of propeller and structural features of the target. These features are highly tolerant and separable, and are the main features and important basis for identifying underwater targets. Once cavitation occurs, cavitation noise becomes the main noise of the propeller. Due to the interference of these target source noises by the ocean environment noise and the distortion generated in the complex underwater acoustic channel propagation, the characteristics of the noise signal received by the passive sonar are not obvious, and the signal-to-noise ratio is reduced. Therefore, it is more and more difficult to recognize underwater targets by extracting noise features with traditional signal processing methods. Further excavating the essential characteristics of propeller noise is an urgent problem to be solved in underwater target recognition. the
对于采用信号处理技术对实测的螺旋桨噪声进行特征提取方面的研究,国外的学者很早就已经开始了。早在1971年Whalen就已经提出了最大似然调制接收机。随着这一技术的发展,高阶谱、AR谱、双重谱和小波分析等时频处理方法,以及分形、混沌、极限环和模态分解等非线性处理方法,都在螺旋桨噪声特征提取中广为尝试。近年来,李启虎等学者采用理论分析和数值仿真研究了强干扰背景噪声下单频信号分量检测方法和检测系统性能。南京大学鲍菲等将经验模型分解法(empirical mode decomposition)和奇异值分解法(singular value decomposition)相结合,从强干扰背景噪声中提取螺旋桨的空化噪声调制成分。现代信号处理方法对背景噪声下的实测噪声信号特征进行提取,取得了不错的效果。但是对强干扰背景噪声,由于实测信号中缺乏机理特征,这一方法适应能力较不高。 For the research on feature extraction of measured propeller noise using signal processing technology, foreign scholars have already started a long time ago. As early as 1971, Whalen had proposed the maximum likelihood modulation receiver. With the development of this technology, time-frequency processing methods such as high-order spectrum, AR spectrum, dual spectrum and wavelet analysis, as well as nonlinear processing methods such as fractal, chaos, limit cycle and modal decomposition, are all used in propeller noise feature extraction. Try widely. In recent years, Li Qihu and other scholars have used theoretical analysis and numerical simulation to study the single-frequency signal component detection method and detection system performance under strong interference background noise. Nanjing University Bao Fei et al. combined empirical mode decomposition and singular value decomposition to extract the cavitation noise modulation component of the propeller from the strong interference background noise. The modern signal processing method extracts the characteristics of the measured noise signal under the background noise, and has achieved good results. However, due to the lack of mechanism characteristics in the measured signal, this method has low adaptability to strong interference background noise. the
由此,一些学者开展了基于模型的噪声特征分析及方法研究。陶笃纯将噪声调制包络作为有相同形状、相等重复周期、随机幅度,具有成组结构的脉冲性随机过程处理。并从舰船辐射噪声调制包络的功率谱密度和自相关函数中提取与舰船各种物理属性有关的丰富的节奏信息。蒋国健和林建恒等人利用指数衰减形随 机脉冲序列的理论模型来分析舰船螺旋桨空泡噪声,得到螺旋桨空化噪声谱。近年来,史广智等学者针对螺旋桨叶片数识别问题,建立空化噪声信号模型。并对双螺旋桨舰船噪声包络建模,研究双桨目标调制谱谐波族特征的结构问题,进一步采用模型特征提取技术,研究基于模型匹配的噪声特征精细分析方法。除了叶频特征,这些模型没有考虑螺旋桨几何形状和工况等参数,很难体现空化噪声的机理特征。 Therefore, some scholars have carried out model-based noise feature analysis and method research. Tao Duchun treats the noise modulation envelope as an impulsive random process with the same shape, equal repetition period, random amplitude, and group structure. And from the power spectral density and autocorrelation function of the ship radiation noise modulation envelope, rich rhythmic information related to various physical properties of the ship is extracted. Jiang Guojian and Lin Jianheng et al. used the theoretical model of exponentially decaying random pulse sequences to analyze the cavitation noise of ship propellers, and obtained the propeller cavitation noise spectrum. In recent years, Shi Guangzhi and other scholars have established a cavitation noise signal model for the identification of the number of propeller blades. Model the noise envelope of the twin-propeller ship, study the structural problem of the harmonic family characteristics of the modulation spectrum of the twin-propeller target, and further use the model feature extraction technology to study the noise feature fine analysis method based on model matching. In addition to blade frequency characteristics, these models do not consider parameters such as propeller geometry and operating conditions, and it is difficult to reflect the mechanism characteristics of cavitation noise. the
螺旋桨空化是空化噪声的直接声源,并且螺旋桨空化尾流是空化噪声重要的传播途径。由于尾流受到螺旋桨周期性转动节拍的作用,具有周期性脉动特征。这些特征反映了螺旋桨工况和几何形状等特征信息。同时,螺旋桨旋转节拍对其辐射的空化噪声有明显的振幅调制作用,其功率谱的线谱特征也反映包括螺旋桨工况和几何形状等特征信息在内的螺旋桨节奏信息。因此,由于同样受到螺旋桨桨叶的节拍作用,螺旋桨空化尾流与空化噪声具有特征相关性,其特征都反映了螺旋桨工况参数和几何形状参数。由于目前螺旋桨空化噪声的声学机理研究还很不完善,因此本发明从空化噪声的本源即空化尾流入手来阐述其噪声特征的一种预报方法。 Propeller cavitation is the direct sound source of cavitation noise, and propeller cavitation wake is an important transmission path of cavitation noise. Since the wake is affected by the periodic rotation beat of the propeller, it has the characteristics of periodic pulsation. These features reflect characteristic information such as propeller operating conditions and geometry. At the same time, the propeller rotation beat has an obvious amplitude modulation effect on the cavitation noise radiated by it, and the line spectrum features of its power spectrum also reflect the propeller rhythm information including characteristic information such as propeller operating conditions and geometry. Therefore, due to the beat effect of the propeller blades, the propeller cavitation wake and cavitation noise have characteristic correlations, and their characteristics reflect the propeller operating condition parameters and geometric shape parameters. Since the acoustic mechanism research of the propeller cavitation noise is not perfect at present, the present invention starts from the origin of the cavitation noise, that is, the cavitation wake, to describe a prediction method of its noise characteristics. the
对于螺旋桨空化尾流国内外有不少学者进行了研究。意大利船模水池实验室的Francesc等利用RANS、LES和BEM方法分别对空化和非空化条件下E779A螺旋桨尾流场进行数值模拟。瑞典Rickard和Goran基于混合两相流模型,利用隐式LES方法和Kunz空化模型模拟了E779A螺旋桨在非均匀流场中空化的动态行为,对中小尺度的流场结构和螺旋桨梢涡空化的模拟较为成功。清华大学季斌等学者利用Rayleigh–Plessete方程和k-ωShear Stress Transport(SST)湍流模型对高侧斜螺旋桨均匀和非均匀入流的空化尾流进行了数值模拟。片空化和梢涡空化被较好地预报,同时空化诱导的尾流场压力脉动特征与螺旋桨轴频叶频特征一致。海军工程大学杨琼方对空化模型和湍流模型在螺旋桨空化模拟进行评估分析,选择改进Sauer空化模型和修正SST k-ω湍流模型,较准确地预报螺旋桨空化斗图谱。对与七叶大侧斜桨的非均匀进流,分析了其空化引起的推力和力矩崩溃性能以及对叶背梢涡空化初生的影响,描述了空化推力和力矩的脉动特征、桨叶空化面积和空化形态随周向位置的变化,并给出了伴流中螺旋桨是否出现叶面片空化的区间划分。目前,国内外对空化尾流的研究主要侧重于某种桨模片空 化的数值预报,对于空化与螺旋桨工况与几何形状之间的特征关系方面的研究较少,而用空化尾流来研究空化噪声特征则更少。 Many scholars at home and abroad have conducted research on propeller cavitation wake. Francesc et al. from the Italian ship model pool laboratory used RANS, LES and BEM methods to simulate the wake flow field of E779A propeller under cavitation and non-cavitation conditions respectively. Based on the mixed two-phase flow model, Rickard and Goran of Sweden used the implicit LES method and the Kunz cavitation model to simulate the dynamic behavior of E779A propeller cavitation in a non-uniform flow field. The simulation was more successful. Scholars such as Bin Ji from Tsinghua University used the Rayleigh–Plessete equation and the k-ω Shear Stress Transport (SST) turbulence model to numerically simulate the cavitation wake of uniform and non-uniform inflow on a high-skewed propeller. The blade cavitation and tip vortex cavitation are well predicted, and the pressure fluctuation characteristics of the wake field induced by cavitation are consistent with the propeller shaft frequency and blade frequency characteristics. Yang Qiongfang from Naval Engineering University evaluated and analyzed the cavitation model and turbulence model in propeller cavitation simulation, and selected the improved Sauer cavitation model and the revised SST k-ω turbulence model to predict the propeller cavitation bucket map more accurately. For the non-uniform inflow with seven-blade large-skew propeller, the thrust and moment collapse performance caused by cavitation and the influence on the incipient cavitation of the blade tip vortex are analyzed, and the pulsation characteristics of cavitation thrust and moment, propeller The change of blade cavitation area and cavitation shape with the circumferential position is given, and the interval division of whether blade cavitation occurs in the propeller in wake is given. At present, the research on cavitation wake at home and abroad mainly focuses on the numerical prediction of some kind of propeller module cavitation. It is even less to use wake flow to study cavitation noise characteristics. the
另外,中国专利申请号ZL201310538724.7,文件也公开了一种基于非均匀入流中螺旋桨空化噪声数值预报的特征提取方法,步骤包括:首先,对螺旋桨计算域进行网格划分,检查网格质量并定义边界条件;接下来,在CFD软件中,设置计算模型,进行稳态迭代计算淌水性能参数和入流口速度验证模型准确性;然后,在CFD软件中,将稳态计算作为非稳态计算的初始值进行非稳态迭代计算,并通过后处理显示螺旋桨片空化周期形态及记录片空化面积变化;最后,根据单空泡辐射噪声理论由螺旋桨片空化面积计算螺旋桨空化辐射噪声,进行特征提取。该申请文件中所用方法将空化区域折算成球形体积,并得到球形体积半径,再将半径变化带入球形单空泡噪声辐射模型中,来预报空化噪声及其特征。由于螺旋桨空化与球形单空泡有很大不同,这种折算方法的准确性有待于进一步检验。本发明的方法则是利用螺旋桨空化尾流压力脉动与空化噪声之间的特征相关性来估计噪声特征。具体来说,空化尾流压力脉动信息含有螺旋桨工况和几何形状参数特征,而空化噪声也具有这一属性。因此,它们具有相同的本源关系,即是螺旋桨的旋转导致空化尾流并产生噪声,同时空化噪声还受到旋转桨叶的调制作用。空化尾流和噪声产生的根本原因是螺旋桨在流体中的转动。 In addition, the Chinese patent application number ZL201310538724.7 also discloses a feature extraction method based on the numerical prediction of propeller cavitation noise in non-uniform inflow. And define the boundary conditions; Next, in the CFD software, set up the calculation model, and perform steady-state iterative calculation of the running water performance parameters and inlet velocity to verify the accuracy of the model; then, in the CFD software, use the steady-state calculation as the unsteady-state The calculated initial value is calculated by unsteady iterative calculation, and the cavitation cycle shape of the propeller blade and the change of the cavitation area of the recording blade are displayed through post-processing; finally, the cavitation radiation noise of the propeller is calculated from the cavitation area of the propeller blade according to the single cavitation radiation noise theory , for feature extraction. The method used in this application document converts the cavitation area into a spherical volume, and obtains the radius of the spherical volume, and then brings the radius change into the spherical single-cavity noise radiation model to predict cavitation noise and its characteristics. Since propeller cavitation is very different from spherical single cavitation, the accuracy of this conversion method needs to be further tested. The method of the present invention uses the characteristic correlation between the propeller cavitation wake pressure fluctuation and the cavitation noise to estimate the noise feature. Specifically, the cavitation wake pressure fluctuation information contains propeller operating conditions and geometric shape parameters, and cavitation noise also has this attribute. Therefore, they have the same original relationship, that is, the rotation of the propeller causes the cavitation wake and generates noise, and the cavitation noise is also modulated by the rotating blade. The root cause of cavitation wake and noise is the rotation of the propeller in the fluid. the
发明内容 Contents of the invention
螺旋桨空化噪声主要特征有: The main characteristics of propeller cavitation noise are:
1.螺旋桨空化是空化噪声的来源,螺旋桨空化噪声总是伴随着螺旋桨空化的出现而出现; 1. Propeller cavitation is the source of cavitation noise, and propeller cavitation noise always appears with the appearance of propeller cavitation;
2.螺旋桨空化尾流不仅是空化噪声的声源,还是空化噪声传播的重要载体; 2. Propeller cavitation wake is not only the sound source of cavitation noise, but also an important carrier of cavitation noise transmission;
3.空化噪声的声强与空泡体积变化密切相关,特别是其在溃灭瞬间的体积变化最大,其辐射噪声也最强; 3. The sound intensity of cavitation noise is closely related to the volume change of the cavitation bubble, especially the volume change at the moment of collapse is the largest, and the radiation noise is also the strongest;
4.螺旋桨空化体积变化和位置分布随着桨叶的旋转而具有周期性特征,使得空化噪声也具有周期性特征,并会反映到其噪声频谱分布上; 4. The volume change and position distribution of the propeller cavitation have periodic characteristics with the rotation of the blade, so that the cavitation noise also has periodic characteristics, which will be reflected in its noise spectrum distribution;
5.空化尾流和空化噪声同时会受到螺旋桨桨叶转动节拍的调制作用; 5. The cavitation wake and cavitation noise will be modulated by the rotation beat of the propeller blade at the same time;
6.上述特征使得螺旋桨空化与其噪声的特征具有严密的本质相关性; 6. The above characteristics make propeller cavitation and its noise characteristics have a close and essential correlation;
7.片空化噪声一般分布在低频段,其频谱呈现线谱特征,而梢涡空化发出的噪 声一般分布在中高频段,其频谱呈现连续特征。 7. Chip cavitation noise is generally distributed in the low frequency band, and its spectrum presents a line spectrum feature, while the noise emitted by tip vortex cavitation is generally distributed in the middle and high frequency bands, and its spectrum presents a continuous feature. the
本发明的原理就是依据上述螺旋桨空化的主要特征,基于黏性多相流理论,利用现代计算流体力学方法对水下螺旋桨尾流场构建N-S方程,并结合湍流模型和空化模型对方程组进行数值求解,从而得到水下螺旋桨叶面周围汽相体积分数和尾流场中压力脉动等相关信息;再利用功率谱等信号处理方法对数值计算的流场信息数据的低频特征进行提取和分析;最后利用流场压力脉动与噪声之间的特征相关性对水下目标螺旋桨噪声特征进行估计和判断。虽然压力脉动是尾流场中力学参数而噪声声压是声学参数,它们的物理概念不同,但它们在某些方面的特征,如低频线谱幅值分布特征,又有一些共同点。这些共同点实质是反映了螺旋桨几何和工况参数特征,这里把它们称之为特征相关性。 The principle of the present invention is exactly based on the main characteristics of the above-mentioned propeller cavitation, based on the viscous multiphase flow theory, using modern computational fluid dynamics methods to construct the N-S equation for the underwater propeller wake field, and combining the turbulence model and the cavitation model to the equations Carry out numerical solutions to obtain relevant information such as the volume fraction of the vapor phase around the blade surface of the underwater propeller and the pressure fluctuation in the wake field; and then use signal processing methods such as power spectrum to extract and analyze the low-frequency characteristics of the numerically calculated flow field information data ; Finally, the characteristic correlation between the pressure fluctuation of the flow field and the noise is used to estimate and judge the noise characteristics of the underwater target propeller. Although pressure pulsation is a mechanical parameter in the wake field and noise sound pressure is an acoustic parameter, their physical concepts are different, but their characteristics in some aspects, such as the distribution of low-frequency line spectrum amplitude, have some similarities. These common points essentially reflect the characteristics of propeller geometry and working condition parameters, which are called feature correlations here. the
本发明采用如下技术方案: The present invention adopts following technical scheme:
基于螺旋桨尾流压力脉动计算的空化噪声特征估计方法,具体包括以下步骤: The cavitation noise feature estimation method based on propeller wake pressure fluctuation calculation includes the following steps:
(1)备用网格生成并导入计算程序后生成算例文件: (1) After the backup grid is generated and imported into the calculation program, the calculation example file is generated:
利用专业建模软件制作螺旋桨三维几何模型后导入网格生成软件,在网格划分软件中建立三种备选网格,这三种备选网格的计算域相同,速度入流边界距离螺旋桨中心为1D,D为螺旋桨直径,下游压力出口边界距离为5D,螺旋桨中心至侧面外围距离为2.5D,这三个网格的网格单元数量按照倍数逐渐增加,对网格中相邻边界的网格单元尺寸在边界点合理过渡,使其网格尺寸差异较小,最终使得网格中所有体网格单元的skew都限定在0.9以内,以保证后面的数值计算的稳定性; Use professional modeling software to create a three-dimensional geometric model of the propeller and import it into the mesh generation software, and establish three alternative meshes in the mesh division software. The calculation domains of these three alternative meshes are the same, and the distance from the velocity inflow boundary to the center of the propeller is 1D, D is the diameter of the propeller, the distance from the downstream pressure outlet boundary is 5D, and the distance from the center of the propeller to the periphery of the side is 2.5D, the number of grid cells of these three grids is according to The multiples are gradually increased, and the grid cell size of the adjacent boundary in the grid is reasonably transitioned at the boundary point, so that the difference in grid size is small, and finally the skew of all volume grid cells in the grid is limited within 0.9, so that Ensure the stability of subsequent numerical calculations;
(2)空化模型和湍流模型设定: (2) Setting of cavitation model and turbulence model:
采用全空化模型和重整化群湍流模型,并对其重要参数进行修正,对空化模型中相变率参数的修正和湍流模型中湍流黏度系数的修正采用C语言编写,再利用宏调用(DEFINE_TURBULENT_VISCOSITY等)形式嵌入计算程序; The full cavitation model and the renormalized group turbulence model are used, and their important parameters are corrected. The correction of the phase change rate parameter in the cavitation model and the correction of the turbulent viscosity coefficient in the turbulent flow model are written in C language, and then called by a macro (DEFINE_TURBULENT_VISCOSITY, etc.) embedded in the calculation program;
(3)数值计算参数设定: (3) Numerical calculation parameter setting:
对工况条件、边界条件和数值算法的相关参数进行设定; Set the relevant parameters of working conditions, boundary conditions and numerical algorithms;
(4)数值计算: (4) Numerical calculation:
由于空化模型加入RANS方程后,计算的稳定性降低,容易出现奇异现象。 因此,为了能使数值计算平稳进行,采用逐级分步骤的计算过程,具体来说,在螺旋桨工况参数中,环境压力和入流速度可以直接设定到工况值,而螺旋桨转速采用分级增加,直到增加到预定工况值;先计算无空化模型流场分布,等到计算稳定后再打开空化模型;先对压力、密度、动量和汽相分数等参数进行一阶精度离散格式计算,计算稳定后,再将离散精度提高到二阶或QUCIK等,由于多相流模型、空化模型和滑动网格计算对计算机资源消耗较大,因此采用并行计算技术来缩短计算时间。 Since the cavitation model is added to the RANS equation, the stability of the calculation is reduced, and singular phenomena are prone to occur. Therefore, in order to make the numerical calculation run smoothly, a step-by-step calculation process is adopted. Specifically, in the propeller operating condition parameters, the ambient pressure and inflow velocity can be directly set to the operating condition values, while the propeller speed is increased by stages. , until it increases to the value of the predetermined working condition; first calculate the flow field distribution of the no-cavitation model, and then open the cavitation model after the calculation is stable; first perform the first-order precision discrete format calculation on parameters such as pressure, density, momentum and vapor fraction, After the calculation is stable, the discrete precision is increased to the second order or QUCIK, etc. Since the calculation of multiphase flow model, cavitation model and sliding grid consumes a lot of computer resources, parallel computing technology is used to shorten the calculation time. the
(5)数值方法可靠性验证及网格确定: (5) Numerical method reliability verification and grid determination:
将典型工况下对螺旋桨桨的水动力参数和空化的数值计算结果与相关实验结果进行比较,以验证网格无关性和所采用数值方法的可靠性;将步骤1中所建三种备选网格按照步骤2和3方法进行设定并进行数值计算,并对计算结果中水动力参数和空化进行比较,当这些结果随着网格数量的增加而趋于稳定并与实验结果一致时,则选定满足条件中网格单元数量最少的网格作为下面数值计算的选定网格;否则适当增加网格数量,重复步骤1重新开始; Compare the numerical calculation results of the hydrodynamic parameters and cavitation of the propeller under typical working conditions with the relevant experimental results to verify the grid independence and the reliability of the numerical method used; Select the grid to set according to the method of steps 2 and 3 and perform numerical calculations, and compare the hydrodynamic parameters and cavitation in the calculation results, when these results tend to be stable with the increase in the number of grids and are consistent with the experimental results , select the grid that satisfies the condition with the least number of grid units as the selected grid for the following numerical calculation; otherwise, increase the number of grids appropriately, and repeat step 1 to start again;
(6)空化尾流压力脉动非定常数值计算: (6) Calculation of unsteady value of cavitation wake pressure fluctuation:
采用步骤5中的选定网格,对螺旋桨的尾流场在所需工况条件下进行非定常数值计算,在计算程序中对尾流场中某一特定位置(A点)压力脉动检测并保存其检测数据,同时对数据进行无量纲化; Using the grid selected in step 5, the unsteady value calculation of the wake field of the propeller is carried out under the required working conditions. In the calculation program, the pressure fluctuation at a specific position (point A) in the wake field is detected and Save its detection data, and at the same time make the data dimensionless;
(7)压力脉动信号功率谱变换及低频线谱幅值提取: (7) Transformation of the power spectrum of the pressure pulsation signal and extraction of the amplitude of the low-frequency line spectrum:
采用信号处理中快速傅立叶变换方法对流场中压力脉动等物理量和噪声信号数据进行功率谱变换,并对低频线谱幅值进行提取,低频线谱包括轴频,二倍轴频,三倍轴频和叶频;再利用尾流场压力脉动特征与空化噪声被桨叶调制特征的相似性,建立从压力脉动的低频线谱幅值到噪声的低频线谱幅值的特征对应关系; The fast Fourier transform method in signal processing is used to transform the power spectrum of physical quantities such as pressure pulsation and noise signal data in the flow field, and extract the amplitude of the low-frequency line spectrum. The low-frequency line spectrum includes axial frequency, double axial frequency, and triple axial frequency. frequency and blade frequency; and then using the similarity between the wake field pressure fluctuation characteristics and the cavitation noise modulated by the blade, the characteristic correspondence relationship from the low-frequency line spectrum amplitude of the pressure fluctuation to the low-frequency line spectrum amplitude of the noise is established;
(8)线谱特征估计及分析: (8) Estimation and analysis of line spectrum features:
将步骤7中低频线谱幅值一一对应到噪声信号功率谱的低频线谱幅值,作为对空化噪声信号低频线谱幅值分布特征的估计,具体来说就是利用压力脉动信号功率谱的轴频、二倍轴频、三倍轴频和叶频等低频分量的幅值来分别估计噪声信号轴频、二倍轴频、三倍轴频和叶频等低频分量的幅值。 Corresponding the amplitude of the low-frequency line spectrum in step 7 to the amplitude of the low-frequency line spectrum of the noise signal power spectrum, as an estimate of the distribution characteristics of the low-frequency line spectrum amplitude of the cavitation noise signal, specifically, using the power spectrum of the pressure pulsation signal The amplitudes of low frequency components such as shaft frequency, double shaft frequency, triple shaft frequency and leaf frequency are used to estimate the amplitudes of low frequency components such as shaft frequency, double shaft frequency, triple shaft frequency and leaf frequency of the noise signal respectively. the
更进一步地,所述的步骤6中的空化尾流压力脉动非定常计算包括以下步骤: Furthermore, the unsteady calculation of cavitation wake pressure fluctuation in step 6 includes the following steps:
(6-1)导入步骤5中选定的网格生成算例文件; (6-1) Import the mesh generation calculation example file selected in step 5;
(6-2)空化模型和湍流模型设定; (6-2) Setting of cavitation model and turbulence model;
(6-3)数值计算参数设定; (6-3) Numerical calculation parameter setting;
(6-4)数值计算; (6-4) Numerical calculation;
(6-5)压力脉动信号提取:对尾流场中某一特定位置(A点)压力脉动检测并保存其检测数据。 (6-5) Pressure pulsation signal extraction: detect and save the pressure pulsation at a specific position (point A) in the wake field and save the detected data. the
步骤(6-2)的空化模型和湍流模型设定、步骤(6-3)的数值计算参数设定和(6-4)的数值计算分别与步骤2的空化模型和湍流模型设定、步骤3的数值计算参数设定和步骤4的数值计算相同。 The cavitation model and turbulence model setting in step (6-2), the numerical calculation parameter setting in step (6-3) and the numerical calculation in (6-4) are respectively the same as the cavitation model and turbulence model setting in step 2 , The numerical calculation parameter setting of step 3 is the same as the numerical calculation of step 4. the
更进一步地,所述的步骤1中的备选网格采用分区域混合网格划分方法:螺旋桨周围流场区域采用非结构网格方法划分,网格由桨毂到叶梢逐渐减小,叶梢处面网格为三角形,网格单元边长大小约为0.001D,桨榖处单元约为0.02D;由于空化主要分布在叶面及梢涡区域,因此这一区域网格质量要求较高。为了更好地适应壁面函数,在叶表面建立边界层网格;采用结构网格划分螺旋桨外围规则形状的计算域;基于上述方法同时生成网格单元数不同三个计算域网格作为备选网格;对梢涡区域网格进行加密,同时桨叶表面采用边界层网格以提高对梢涡空化的预报精度,梢涡区域网格单元尺寸约为0.001D,边界层网格共有4层,其相邻两层高度比为1.1,第一层网格单元高度约为0.001D,使得无量纲参数20<y+<300。另外,三个备选网格的网格单元数量差异主要体现在螺旋桨尾流在其盘面内区域,特别是靠近螺旋桨附近区域。因为这一区域网格质量对螺旋桨空化性能和尾流压力脉动计算的准确性至关重要。 Furthermore, the alternative grid in step 1 adopts the regional mixed grid division method: the flow field area around the propeller is divided by the unstructured grid method, and the grid gradually decreases from the hub to the blade tip, and the blade The surface grid at the tip is triangular, the side length of the grid unit is about 0.001D, and the unit at the blade hub is about 0.02D; since cavitation is mainly distributed in the blade surface and tip vortex area, the grid quality requirements in this area are relatively high. high. In order to better adapt to the wall function, a boundary layer grid is established on the blade surface; the calculation domain with a regular shape around the propeller is divided by a structural grid; based on the above method, three calculation domain grids with different numbers of grid cells are simultaneously generated as an alternative grid; the grid in the tip vortex area is encrypted, and the surface of the blade adopts the boundary layer grid to improve the prediction accuracy of the tip vortex cavitation. The grid unit size in the tip vortex area is about 0.001D, and the boundary layer grid has 4 layers , the height ratio of the two adjacent layers is 1.1, and the height of the grid cells in the first layer is about 0.001D, so that the dimensionless parameter 20<y + <300. In addition, the difference in the number of grid units of the three candidate grids is mainly reflected in the area of the propeller wake within its disk, especially the area near the propeller. Because the mesh quality in this area is crucial to the accuracy of propeller cavitation performance and wake pressure fluctuation calculation.
更进一步地,所述的步骤2中的全空化模型设定及其参数修正为: Furthermore, the setting of the full cavitation model and its parameters in step 2 are as follows:
当p<pv时,蒸汽产生率为: When p<p v , the steam generation rate is:
当p>pv时,汽相变液相,同样得到蒸汽凝固率Rc: When p>p v , the vapor phase changes into liquid phase, and the steam solidification rate R c is also obtained:
其中,fv=αvρv/ρm为汽相质量分数,汽化系数Ce=0.02和凝结系数Cc=0.01为 经验参数。 Among them, f v =α v ρ v /ρ m is the vapor phase mass fraction, vaporization coefficient Ce=0.02 and condensation coefficient Cc=0.01 are empirical parameters.
根据量纲分析在相变率(Re和Rc)表达式中采用k而不是在FLUENT软件环境下可利用自定义函数UDF对空化模型中参数相变率Re进行修正,修正模型采用C语言编写后调入计算程序。 According to dimensional analysis, k is used instead of In the FLUENT software environment, the user-defined function UDF can be used to correct the parameter phase change rate Re in the cavitation model. The corrected model is written in C language and transferred to the calculation program.
更进一步地,所述的步骤2中的RNG k-ε湍流模型及其参数修正为:重整化群湍流模型即为RNG k-ε湍流模型,重整化群湍流模型RNG k-ε是对瞬态N-S方程用重整化群(Renormalization Group,简称RNG)的数学方法推导出来的模型。它通过在大尺度运动项和修正黏度项中体现小尺度的影响,而使这些小尺度运动系统地从控制方程中除去。其k方程和ε方程分别为: Furthermore, the RNG k-ε turbulence model and its parameters in step 2 are modified as follows: the renormalized group turbulence model is the RNG k-ε turbulence model, and the renormalized group turbulence model RNG k-ε is the The transient N-S equation is a model derived by the mathematical method of the Renormalization Group (RNG for short). It systematically removes these small-scale motions from the governing equations by embodying these small-scale effects in both the large-scale motion term and the modified viscosity term. Its k equation and ε equation are respectively:
式中,湍流动能耗散率(Turbulent Dissipation Rate)湍流动能k和耗散率ε的有效湍流普朗特数的倒数ak=aε=1.39;模型参数C1ε=1.47,C2ε=1.68;黏性系数为μ=μt+μm,μm为混合流黏度系数;修改湍流黏度系数μt=[ρv+αl 10(ρl-ρv)]Cμk2/ε,Cμ=0.085更适用于高雷诺数的非定常两相流模拟,从而可以更好地模拟螺旋桨空化。 In the formula, the turbulent kinetic energy dissipation rate (Turbulent Dissipation Rate) The reciprocal of the effective turbulent Prandtl number a k = a ε = 1.39 for the turbulent kinetic energy k and dissipation rate ε; the model parameters C 1ε = 1.47, C 2ε = 1.68; the viscosity coefficient is μ = μ t + μ m , μ m is the viscosity coefficient of the mixed flow; the modified turbulent viscosity coefficient μ t = [ρ v +α l 10 (ρ l -ρ v )]C μ k 2 /ε, C μ = 0.085 is more suitable for unsteady two Phase flow simulation for better simulation of propeller cavitation.
更进一步地,所述的步骤3的数值计算参数设定,包括工况条件、边界条件和数值算法的相关参数设定; Further, the numerical calculation parameter setting of the step 3 includes the relevant parameter setting of working condition, boundary condition and numerical algorithm;
工况条件主要设定螺旋桨旋转速度,环境压力和入流速度值,确定螺旋桨无量纲参数,即进速系数(J)和空化数(σn);对于边界条件设定,速度入口边界采用入流速度值,远场边界条件采用入流速度设定,下游压力出口界面的出口压力设置为静压力;数值算法中参数设置:控制方程中对流项采用二阶迎风格式离散,扩散项采用二阶中心差分格式离散,速度压力耦合采用适合非结构网格的SIMPLE算法,使用逐点Gauss-Seidel迭代求解离散方程;利用代数多重网格加速计算收敛,对于非定常计算采用滑动网格计算技术,提高计算的准确性。采用二阶精度离散格式,为了保证二阶计算的稳定性,将亚松弛因子适当降低,压力、动量、汽相分数、湍流动能、湍流耗散率和湍流黏性等参数的亚松弛因子分别设定为:0.25、0.6、0.2、0.7、0.7、0.9,质量守恒连续性(continuity)残差收敛标 准为三阶,方程中其它物理量残差收敛标准为四阶。 The working conditions mainly set the propeller rotation speed, ambient pressure and inflow velocity values, and determine the dimensionless parameters of the propeller, that is, the advance coefficient (J) and the cavitation number (σ n ); for the boundary condition setting, the velocity inlet boundary adopts the inflow Velocity value, the far-field boundary condition is set by the inflow velocity, and the outlet pressure of the downstream pressure outlet interface is set as static pressure; parameter settings in the numerical algorithm: the convection item in the control equation is discretized by the second-order upwind method, and the diffusion item is by the second-order central difference The format is discrete, and the speed-pressure coupling adopts the SIMPLE algorithm suitable for unstructured grids, and uses point-by-point Gauss-Seidel iterations to solve discrete equations; uses algebraic multi-grid to accelerate calculation convergence, and uses sliding grid calculation technology for unsteady calculations to improve calculation efficiency. accuracy. The second-order precision discrete scheme is adopted. In order to ensure the stability of the second-order calculation, the under-relaxation factor is appropriately reduced. Set as: 0.25, 0.6, 0.2, 0.7, 0.7, 0.9, mass conservation continuity (continuity) residual convergence standard is third order, other physical quantity residual convergence standard in the equation is fourth order.
更进一步地,所述的步骤6的特定位置A点位于螺旋桨尾流径向r=0.5R和轴向x=2R处,根据量纲换算原则,采用公式进行无量纲化,其中ΔP为数值计算结果的总压力脉动值,ρ为混合流体密度,n为螺旋桨转速,D位螺旋桨直径;非定常计算中TIME STEP时间步长设定为T=0.0125TP,TP为螺旋桨旋转周期,数据涉及时间长度为30TP。 Furthermore, the specific position A point in the step 6 is located at the propeller wake radial direction r=0.5R and the axial direction x=2R, according to the dimension conversion principle, the formula Dimensionless, where ΔP is the total pressure pulsation value of the numerical calculation results, ρ is the density of the mixed fluid, n is the propeller speed, and D is the propeller diameter; in the unsteady calculation, the TIME STEP time step is set as T=0.0125T P , T P is the rotation period of the propeller, and the time length involved in the data is 30T P .
本发明的方法可以在一般通用的CFD流体计算软件(CFX,FLUENT等)中实现,网格划分可以采用GAMBIT等软件实现。首先将初步设计的螺旋桨数字模型导入网格划分软件,并按照本发明中的方法进行网格划分。网格模型导入计算平台后形成数值算例文件,并在算例文件中设置数值参数,按照设计工况进行数值计算,并将压力脉动信号输出到文本文件。在MATLAB软件中编写功率谱密度变换程序,实现信号由时域到频域的变换,并最终提取低频线谱幅值参数。此外,本发明还利用批处理文件在操作系统平台进行并行数值计算。 The method of the present invention can be implemented in common CFD fluid calculation software (CFX, FLUENT, etc.), and grid division can be implemented by software such as GAMBIT. Firstly, import the preliminary designed propeller digital model into the grid division software, and perform grid division according to the method in the present invention. After the grid model is imported into the computing platform, a numerical example file is formed, and numerical parameters are set in the example file, numerical calculation is performed according to the design working conditions, and the pressure pulsation signal is output to a text file. Write the power spectral density transformation program in MATLAB software to realize the signal transformation from time domain to frequency domain, and finally extract the low-frequency line spectrum amplitude parameters. In addition, the invention also utilizes batch files to perform parallel numerical calculations on the operating system platform. the
有益效果: Beneficial effect:
(1)本发明将现代流体力学、空泡动力学和信号处理领域中相关研究成果引入水下目标的噪声特征分析,体现多学科和多领域的交叉性。 (1) The present invention introduces relevant research achievements in the fields of modern fluid mechanics, cavitation dynamics and signal processing into the noise characteristic analysis of underwater targets, reflecting the interdisciplinary nature of multiple disciplines and multiple fields. the
(2)目前由于强干扰背景噪声和复杂水声信道的影响,仅仅从检测噪声提取目标特征难以满足水下目标识别技术的要求,因此本发明在水声目标识别领域具有重要应用价值和应用前景。 (2) At present, due to the influence of strong interference background noise and complex underwater acoustic channels, it is difficult to meet the requirements of underwater target recognition technology only by extracting target features from detection noise. Therefore, the present invention has important application value and application prospect in the field of underwater acoustic target recognition . the
(3)由于尾流场受到螺旋桨桨叶转动节拍的作用以及辐射噪声同样受到叶频调制作用,尾流场中压力脉动和声压信号缓变分量的特征密切相关,二者的功率谱密度低频线谱幅值分布等特征具有相关性,本发明就是利用流场特征参数与流体噪声特征参数的相关性来对螺旋桨空化噪声进行特征估计。 (3) Since the wake field is affected by the rotation beat of the propeller blades and the radiation noise is also affected by the blade frequency modulation, the characteristics of the pressure fluctuation in the wake field and the slow-varying component of the sound pressure signal are closely related, and the power spectral densities of the two are low-frequency Features such as line spectrum amplitude distribution have correlation, and the present invention utilizes the correlation between flow field characteristic parameters and fluid noise characteristic parameters to perform characteristic estimation on propeller cavitation noise. the
(4)本发明方法对空化模型和湍流模型相关参数的修正,建立桨叶表面边界层和在梢涡空化区域对网格进行精细处理。通过与实验的比对(见图5),这些改进措施显著提高了梢涡空化的预报精度,较好地解决空化数值预报中的一个难题。同时为下一步空化尾流压力脉动的数值计算提供了有力的保证。 (4) The method of the present invention corrects the relevant parameters of the cavitation model and the turbulence model, establishes a boundary layer on the surface of the blade, and finely processes the grid in the tip vortex cavitation region. Through the comparison with the experiment (see Figure 5), these improvement measures have significantly improved the prediction accuracy of tip vortex cavitation, and better solved a difficult problem in the numerical prediction of cavitation. At the same time, it provides a strong guarantee for the numerical calculation of cavitation wake pressure fluctuation in the next step. the
(5)利用确定的网格对螺旋桨E779A和E779B的空化尾流非定常数值计算, 并提取其尾流压力脉动信号,再对压力脉动进行功率谱变换得到低频线谱幅值的分布特征,将这一分布和实测噪声的低频线谱分布进行比对(见图6和图7),验证了二者的特征相关性。最终就可以利用这一特征相关性通过压力脉动数值计算对其他工况条件下噪声特征进行估计,从而对以螺旋桨噪声特征进行水下目标分类识别技术提供重要的指向性价值。 (5) Use the determined grid to calculate the unsteady value of the cavitation wake of the propellers E779A and E779B, and extract the wake pressure fluctuation signal, and then perform power spectrum transformation on the pressure fluctuation to obtain the distribution characteristics of the low-frequency line spectrum amplitude, Comparing this distribution with the low-frequency line spectrum distribution of the measured noise (see Figure 6 and Figure 7), the characteristic correlation between the two is verified. Finally, this characteristic correlation can be used to estimate the noise characteristics under other working conditions through numerical calculation of pressure fluctuations, thus providing important directional value for underwater target classification and recognition technology based on propeller noise characteristics. the
附图说明 Description of drawings
图1(a)为E779A螺旋桨几何模型; Figure 1(a) is the geometric model of the E779A propeller;
图1(b)为E779B螺旋桨几何模型; Figure 1(b) is the geometric model of the E779B propeller;
图2为本发明的全流道螺旋桨计算域混合网格的示意图; Fig. 2 is the schematic diagram of the hybrid mesh of the calculation domain of the full channel propeller of the present invention;
图3(a)为本发明的边界层网格的结构示意图; Fig. 3 (a) is the structural representation of boundary layer grid of the present invention;
图3(b)为图3(a)中A处的放大图; Figure 3(b) is an enlarged view at A in Figure 3(a);
图4(a)为本发明的方法流程图; Fig. 4 (a) is method flowchart of the present invention;
图4(b)为本发明的空化尾流压力脉动非定常数值计算流程图; Fig. 4 (b) is the calculation flowchart of the unsteady value of cavitation wake pressure fluctuation of the present invention;
图5为E779A桨空化数值预报结果与实验结果; Figure 5 shows the numerical prediction results and experimental results of E779A propeller cavitation;
图6为非均匀入流条件下逆时针旋转的E779B桨在不同位置时刻的空化数值预报结果与实验结果; Figure 6 shows the cavitation numerical prediction results and experimental results of the counterclockwise rotating E779B propeller at different positions and times under the condition of non-uniform inflow;
图7为E779A螺旋桨归一化的测量噪声功率谱和压力脉动数值计算信号功率谱; Figure 7 is the normalized measurement noise power spectrum and pressure pulsation numerical calculation signal power spectrum of the E779A propeller;
图8(a)为n=15rps的E779B螺旋桨空化尾流压力脉动和测量噪声信号的归一化功率谱密度低频线谱幅值; Figure 8(a) is the normalized power spectral density low-frequency line spectrum amplitude of the E779B propeller cavitation wake pressure pulsation and measurement noise signal with n=15rps;
图8(b)为n=20rps的E779B螺旋桨空化尾流压力脉动和测量噪声信号的归一化功率谱密度低频线谱幅值; Figure 8(b) is the normalized power spectral density low-frequency line spectrum amplitude of the E779B propeller cavitation wake pressure pulsation and measurement noise signal at n=20rps;
图8(c)为n=25rps的E779B螺旋桨空化尾流压力脉动和测量噪声信号的归一化功率谱密度低频线谱幅值。 Figure 8(c) shows the normalized power spectral density low-frequency line spectrum amplitude of the E779B propeller cavitation wake pressure pulsation and measurement noise signal with n=25rps. the
具体实施方式 Detailed ways
下面结合附图和实施例对本发明作进一步详细的说明。 The present invention will be described in further detail below in conjunction with the accompanying drawings and embodiments. the
实施例 Example
如图4(a)所述,基于螺旋桨尾流压力脉动计算的空化噪声特征估计方法,具体包括以下步骤: As shown in Figure 4(a), the cavitation noise feature estimation method based on propeller wake pressure fluctuation calculation includes the following steps:
(1)备用网格生成并导入计算程序后生成算例文件: (1) After the spare grid is generated and imported into the calculation program, the calculation example file is generated:
利用专业建模软件制作螺旋桨三维几何模型后导入网格生成软件,如图1(a)图1(b)所示,为E778A和E779B螺旋桨模型,在网格划分软件中建立三种备选网格,这三种备选网格的计算域相同,速度入流边界距离螺旋桨中心为1D,D为螺旋桨直径,下游压力出口边界距离为5D,螺旋桨中心至侧面外围距离为2.5D,这三个网格的网格单元数量按照倍数逐渐增加,对网格中相邻边界的网格单元尺寸在边界点合理过渡,使其网格尺寸差异较小,最终使得网格中所有体网格单元的skew都限定在0.9以内,以保证后面的数值计算的稳定性; Use professional modeling software to create a 3D geometric model of the propeller and import it into the mesh generation software, as shown in Figure 1(a) and Figure 1(b), for the E778A and E779B propeller models, three alternative meshes are established in the meshing software The calculation domains of these three alternative grids are the same, the speed inflow boundary is 1D from the center of the propeller, D is the diameter of the propeller, the distance from the downstream pressure outlet boundary is 5D, and the distance from the center of the propeller to the side periphery is 2.5D. The number of grid cells of the grid is according to The multiples are gradually increased, and the grid cell size of the adjacent boundary in the grid is reasonably transitioned at the boundary point, so that the difference in grid size is small, and finally the skew of all volume grid cells in the grid is limited within 0.9, so that Ensure the stability of subsequent numerical calculations;
网格采用分区域混合网格划分方法(如图2所示):螺旋桨周围流场区域采用非结构网格方法划分,网格由桨毂到叶梢逐渐减小,叶梢处面网格为三角形,网格单元边长大小约为0.001D,桨榖处单元约为0.02D;由于空化主要分布在叶面及梢涡区域,因此这一区域网格质量要求较高。为了更好地适应壁面函数,在桨叶表面建立边界层网格(如图3所示);采用结构网格划分螺旋桨外围规则形状的计算域;基于上述方法同时生成网格单元数不同三个计算域网格作为备选网格;对梢涡区域网格进行加密,同时桨叶表面采用边界层网格以提高对梢涡空化的预报精度,梢涡区域网格单元尺寸约为0.001D,边界层网格共有4层,其相邻两层高度比为1.1,第一层网格单元高度约为0.001D,使得无量纲参数20<y+<300。另外,三个备选网格的网格单元数量差异主要体现在螺旋桨尾流在其盘面内区域,特别是靠近螺旋桨附近区域。因为这一区域网格质量对螺旋桨空化性能和尾流压力脉动计算的准确性至关重要。 The grid adopts the regional mixed grid division method (as shown in Figure 2): the flow field area around the propeller is divided by the unstructured grid method, and the grid gradually decreases from the hub to the blade tip, and the surface grid at the blade tip is Triangular, the side length of the grid unit is about 0.001D, and the unit at the blade hub is about 0.02D; since cavitation is mainly distributed in the blade surface and tip vortex area, the grid quality requirements in this area are relatively high. In order to better adapt to the wall function, a boundary layer grid is established on the surface of the blade (as shown in Figure 3); the structural grid is used to divide the calculation domain of the regular shape around the propeller; The calculation domain grid is used as an alternative grid; the grid in the tip vortex area is encrypted, and the surface of the blade uses a boundary layer grid to improve the prediction accuracy of the tip vortex cavitation. The grid cell size in the tip vortex area is about 0.001D , the boundary layer grid has 4 layers in total, the height ratio of the two adjacent layers is 1.1, and the height of the grid cells in the first layer is about 0.001D, so that the dimensionless parameter 20<y + <300. In addition, the difference in the number of grid units of the three candidate grids is mainly reflected in the area of the propeller wake within its disk, especially the area near the propeller. Because the mesh quality in this area is crucial to the accuracy of propeller cavitation performance and wake pressure fluctuation calculation.
(2)空化模型和湍流模型设定: (2) Setting of cavitation model and turbulence model:
采用全空化模型和重整化群湍流模型,并对其重要参数进行修正,对空化模型中相变率参数的修正和湍流模型中湍流黏度系数的修正采用C语言编写,再利用宏调用(DEFINE_TURBULENT_VISCOSITY等)形式嵌入计算程序; The full cavitation model and the renormalized group turbulence model are used, and their important parameters are corrected. The correction of the phase change rate parameter in the cavitation model and the correction of the turbulent viscosity coefficient in the turbulent flow model are written in C language, and then called by a macro (DEFINE_TURBULENT_VISCOSITY, etc.) embedded in the calculation program;
全空化模型设定及其参数修正为: The full cavitation model setting and its parameters are corrected as follows:
当p<pv时,蒸汽产生率为: When p<p v , the steam generation rate is:
当p>pv时,汽相变液相,同样得到蒸汽凝固率Rc: When p>p v , the vapor phase changes into liquid phase, and the steam solidification rate R c is also obtained:
其中,fv=αvρv/ρm为汽相质量分数,汽化系数Ce=0.02和凝结系数Cc=0.01为经验参数; Among them, f v =α v ρ v /ρ m is the mass fraction of the vapor phase, the vaporization coefficient Ce=0.02 and the condensation coefficient Cc=0.01 are empirical parameters;
根据量纲分析在相变率(Re和Rc)表达式中采用k而不是在FLUENT软件环境下可利用自定义函数UDF对空化模型中参数相变率Re进行修正,修正模型采用C语言编写后调入计算程序。 According to dimensional analysis, k is used instead of In the FLUENT software environment, the user-defined function UDF can be used to correct the parameter phase change rate Re in the cavitation model. The corrected model is written in C language and transferred to the calculation program.
重整化群湍流模型即为RNG k-ε湍流模型,重整化群湍流模型RNG k-ε是对瞬态N-S方程用重整化群(Renormalization Group,简称RNG)的数学方法推导出来的模型。它通过在大尺度运动项和修正黏度项中体现小尺度的影响,而使这些小尺度运动系统地从控制方程中除去。其k方程和ε方程分别为: The renormalization group turbulence model is the RNG k-ε turbulence model, and the renormalization group turbulence model RNG k-ε is a model derived from the mathematical method of the renormalization group (Renormalization Group, referred to as RNG) for the transient N-S equation . It systematically removes these small-scale motions from the governing equations by embodying these small-scale effects in both the large-scale motion term and the modified viscosity term. Its k equation and ε equation are respectively:
式中,湍流动能耗散率(Turbulent Dissipation Rate)湍流动能k和耗散率ε的有效湍流普朗特数的倒数ak=aε=1.39;模型参数C 1ε=1.47,C2ε=1.68;黏性系数为μ=μt+μm,μm为混合流黏度系数;修改湍流黏度系数μt=[ρv+αl 10(ρl-ρv)]Cμk2/ε,Cμ=0.085更适用于高雷诺数的非定常两相流模拟,从而可以更好地模拟螺旋桨空化。 In the formula, the turbulent kinetic energy dissipation rate (Turbulent Dissipation Rate) The reciprocal of the effective turbulent Prandtl number a k = a ε = 1.39 for the turbulent kinetic energy k and dissipation rate ε; the model parameters C 1ε = 1.47, C 2ε = 1.68; the viscosity coefficient is μ = μ t + μ m , μ m is the viscosity coefficient of the mixed flow; the modified turbulent viscosity coefficient μ t = [ρ v +α l 10 (ρ l -ρ v )]C μ k 2 /ε, C μ = 0.085 is more suitable for unsteady two Phase flow simulation for better simulation of propeller cavitation.
(3)数值计算参数设定: (3) Numerical calculation parameter setting:
对工况条件、边界条件和数值算法的相关参数进行设定;工况条件主要设定螺旋桨旋转速度,环境压力和入流速度值,确定螺旋桨无量纲参数,即进速系数(J)和空化数(σn);对于边界条件设定,速度入口边界采用入流速度值,远场边界条件采用入流速度设定,下游压力出口界面的出口压力设置为静压力;数值算法中参数设置:控制方程中对流项采用二阶迎风格式离散,扩散项采用二阶中心差分格式离散,速度压力耦合采用适合非结构网格的SIMPLE算法,使用逐点Gauss-Seidel迭代求解离散方程;利用代数多重网格加速计算收敛,对于非定常计算采用滑动网格计算技术,提高计算的准确性。采用二阶精度离散格式,为了 保证二阶计算的稳定性,将亚松弛因子适当降低,压力、动量、汽相分数、湍流动能、湍流耗散率和湍流黏性等参数的亚松弛因子分别设定为:0.25、0.6、0.2、0.7、0.7、0.9,质量守恒连续性(continuity)残差收敛标准为三阶,方程中其它物理量残差收敛标准为四阶。 Set the working conditions, boundary conditions and relevant parameters of the numerical algorithm; the working conditions mainly set the propeller rotation speed, ambient pressure and inflow velocity values, and determine the dimensionless parameters of the propeller, namely the advance speed coefficient (J) and cavitation number (σ n ); for the boundary condition setting, the velocity inlet boundary adopts the inflow velocity value, the far field boundary condition adopts the inflow velocity setting, and the outlet pressure of the downstream pressure outlet interface is set as the static pressure; the parameter setting in the numerical algorithm: the control equation The convection item is discretized by the second-order upwind scheme, the diffusion item is discretized by the second-order central difference scheme, the velocity-pressure coupling adopts the SIMPLE algorithm suitable for unstructured grids, and the discrete equations are solved by point-by-point Gauss-Seidel iteration; the algebraic multigrid is used to accelerate Calculation convergence, using sliding grid computing technology for unsteady calculations to improve the accuracy of calculations. The second-order precision discrete scheme is adopted. In order to ensure the stability of the second-order calculation, the under-relaxation factor is appropriately reduced. Set as: 0.25, 0.6, 0.2, 0.7, 0.7, 0.9, mass conservation continuity (continuity) residual convergence standard is third order, other physical quantity residual convergence standard in the equation is fourth order.
(4)数值计算: (4) Numerical calculation:
由于空化模型加入RANS方程后,计算的稳定性降低,容易出现奇异现象。因此,为了能使数值计算平稳进行,采用逐级分步骤的计算过程,具体来说,在螺旋桨工况参数中,环境压力和入流速度可以直接设定到工况值,而螺旋桨转速采用分级增加,直到增加到预定工况值;先计算无空化模型流场分布,等到计算稳定后再打开空化模型;先对压力、密度、动量和汽相分数等参数进行一阶精度离散格式计算,计算稳定后,再将离散精度提高到二阶或QUCIK等,由于多相流模型、空化模型和滑动网格计算对计算机资源消耗较大,因此采用并行计算技术来缩短计算时间。 Since the cavitation model is added to the RANS equation, the stability of the calculation is reduced, and singular phenomena are prone to occur. Therefore, in order to make the numerical calculation run smoothly, a step-by-step calculation process is adopted. Specifically, in the propeller operating condition parameters, the ambient pressure and inflow velocity can be directly set to the operating condition values, while the propeller speed is increased by stages. , until it increases to the value of the predetermined working condition; first calculate the flow field distribution of the no-cavitation model, and then open the cavitation model after the calculation is stable; first perform the first-order precision discrete format calculation on parameters such as pressure, density, momentum and vapor fraction, After the calculation is stable, the discrete precision is increased to the second order or QUCIK, etc. Since the calculation of multiphase flow model, cavitation model and sliding grid consumes a lot of computer resources, parallel computing technology is used to shorten the calculation time. the
(5)数值方法可靠性验证及网格确定: (5) Numerical method reliability verification and grid determination:
将典型工况下对螺旋桨桨的水动力参数和空化的数值计算结果与相关实验结果进行比较,以验证网格无关性和所采用数值方法的可靠性;将步骤1中所建三种备选网格按照步骤2和3方法进行设定并进行数值计算,并对计算结果中水动力参数和空化进行比较,当这些结果随着网格数量的增加而趋于稳定并与实验结果一致时,则选定满足条件中网格单元数量最少的网格作为下面数值计算的选定网格;否则适当增加网格数量,重复步骤1重新开始,图5为E779A桨空化数值预报结果与实验结果,图6为非均匀入流条件下逆时针旋转的E779B桨在不同位置的空化数值预报结果与实验结果,图5和图6的结果表明本发明中使用的方法对螺旋桨空化的预报效果比较好; Compare the numerical calculation results of the hydrodynamic parameters and cavitation of the propeller under typical working conditions with the relevant experimental results to verify the grid independence and the reliability of the numerical method used; Select the grid to set according to the method of steps 2 and 3 and perform numerical calculations, and compare the hydrodynamic parameters and cavitation in the calculation results, when these results tend to be stable with the increase in the number of grids and are consistent with the experimental results , select the grid that satisfies the condition with the least number of grid units as the selected grid for the following numerical calculation; otherwise, increase the number of grids appropriately, and repeat step 1 to start again. Figure 5 shows the numerical prediction results and Experimental results, Figure 6 is the cavitation numerical prediction results and experimental results of the E779B propeller rotating counterclockwise under the non-uniform inflow condition at different positions, the results of Figure 5 and Figure 6 show that the method used in the present invention predicts propeller cavitation The effect is better;
(6)空化尾流压力脉动非定常数值计算: (6) Calculation of unsteady value of cavitation wake pressure fluctuation:
采用步骤5中的选定网格,对螺旋桨的尾流场在所需工况条件下进行非定常数值计算,在计算程序中对尾流场中某一特定位置(A点)压力脉动检测并保存其检测数据,同时对数据进行无量纲化; Using the grid selected in step 5, the unsteady value calculation of the wake field of the propeller is carried out under the required working conditions. In the calculation program, the pressure fluctuation at a specific position (point A) in the wake field is detected and Save its detection data, and at the same time make the data dimensionless;
特定位置A点位于螺旋桨尾流径向r=0.5R和轴向x=2R处,根据量纲换算原则,采用公式进行无量纲化,其中ΔP为数值计算结果的总压 力脉动值,ρ为混合流体密度,n为螺旋桨转速,D位螺旋桨直径;非定常计算中TIME STEP时间步长设定为T=0.0125TP,TP为螺旋桨旋转周期,数据涉及时间长度为30TP。 Point A at the specific position is located at the propeller wake radial direction r=0.5R and axial direction x=2R, according to the dimension conversion principle, the formula Dimensionless, where ΔP is the total pressure pulsation value of the numerical calculation result, ρ is the density of the mixed fluid, n is the propeller speed, and D is the propeller diameter; in the unsteady calculation, the TIME STEP time step is set as T=0.0125T P , T P is the rotation period of the propeller, and the time length involved in the data is 30T P .
(7)压力脉动信号功率谱变换及低频线谱幅值提取: (7) Transformation of the power spectrum of the pressure pulsation signal and extraction of the amplitude of the low-frequency line spectrum:
采用信号处理中快速傅立叶变换方法对流场中压力脉动等物理量和噪声信号数据进行功率谱变换,并对低频线谱(轴频,二倍轴频,三倍轴频和叶频)幅值进行提取;再利用尾流场压力脉动特征与空化噪声被桨叶调制特征的相似性,建立从压力脉动的低频线谱幅值到噪声的低频线谱幅值的特征对应关系; The fast Fourier transform method in signal processing is used to transform the power spectrum of physical quantities such as pressure pulsation and noise signal data in the flow field, and the amplitude of the low-frequency line spectrum (shaft frequency, double shaft frequency, triple shaft frequency and leaf frequency) is carried out. Extraction; and then use the similarity between the wake field pressure fluctuation characteristics and the cavitation noise modulated by the blade to establish the characteristic correspondence relationship from the low-frequency line spectrum amplitude of the pressure fluctuation to the low-frequency line spectrum amplitude of the noise;
(8)线谱特征估计及分析: (8) Estimation and analysis of line spectrum features:
将步骤7中低频线谱幅值一一对应到噪声信号功率谱的低频线谱幅值,作为对空化噪声信号低频线谱幅值分布特征的估计。图7中(a)和(b)为E779A螺旋桨均匀入流下工况为J=0.88,n=25rps时空化尾流压力脉动和空化噪声的归一化功率谱密度。通过图7(a)和(b)的对比发现压力脉动信号归一化功率谱密度与测量噪声压力信号功率谱有一些共同的特征:(1)在10-100Hz低频段信号以线谱为主,且与螺旋桨桨叶数和转速参数值一致。其中,叶频线谱(100Hz)峰值最高,轴频线谱(25Hz)峰值次之,然后是75Hz和50Hz线谱。除了75Hz信号强度较低,其它与图7(a)中的噪声线谱峰值变化特征基本相同。(2)在100-1000Hz的中频段同样显示丰富的线谱特征,线谱以轴频和叶频的倍频为主,且连续谱谱线也开始下降,这些与图7(a)中的谱形变化基本一致。但数值结果中这一频率区域的线谱幅值较图7(a)中实验值较小,且频率分辨率较低。(3)功率谱幅值范围在100到10-9之间,与图7(a)中的实验数据基本一致。以上所述中共同特征表明E779A桨模在均匀入流条件下,压力脉动和噪声之间存在相似的特征,即它们具有特征相关性。 The low-frequency line spectrum amplitude in step 7 is one-to-one corresponding to the low-frequency line spectrum amplitude of the noise signal power spectrum, as an estimation of the distribution characteristics of the low-frequency line spectrum amplitude of the cavitation noise signal. (a) and (b) in Fig. 7 are the normalized power spectral densities of cavitation wake pressure fluctuation and cavitation noise under the uniform inflow condition of E779A propeller when J=0.88, n=25rps. Through the comparison of Figure 7(a) and (b), it is found that the normalized power spectral density of the pressure pulsation signal and the power spectrum of the measurement noise pressure signal have some common features: (1) The signal in the low frequency band of 10-100Hz is dominated by line spectrum , and is consistent with the propeller blade number and rotational speed parameter values. Among them, the peak of the leaf frequency line spectrum (100Hz) is the highest, the peak value of the axis frequency line spectrum (25Hz) is next, and then the 75Hz and 50Hz line spectrum. Except for the lower signal strength at 75Hz, the other features are basically the same as those in Fig. 7(a). (2) In the middle frequency range of 100-1000Hz, there are also rich line spectrum features, the line spectrum is dominated by the double frequency of the axis frequency and the leaf frequency, and the continuous spectrum line also begins to decline, which is similar to that in Figure 7(a) The spectral shape changes are basically the same. However, the line spectrum amplitude in this frequency region in the numerical results is smaller than the experimental value in Fig. 7(a), and the frequency resolution is lower. (3) The amplitude range of the power spectrum is between 10 0 and 10 -9 , which is basically consistent with the experimental data in Fig. 7(a). The common features mentioned above indicate that the E779A paddle model has similar characteristics between pressure pulsation and noise under the condition of uniform inflow, that is, they have characteristic correlation.
图8(a)、(b)和(c)为E779B螺旋桨非均匀入流下空化尾流压力脉动和测量噪声信号的归一化功率谱密度低频线谱幅值对比。图7显示压力脉动和噪声的低频线谱幅值在15、20和25rps转速时,二者的轴频、二倍轴频和三倍轴频幅值变化趋势基本相同。而叶频在15rps转速时,二者相差最大,20rps转速时二者相差减小,25rps转速时基本相同。这表明螺旋桨转速为25rps,空化明显发生,空化噪声成为主要噪声,此时二者叶频幅值特征相关性加强。而在转速较 低时(15rps),无空化发生,此时环境噪声成为主要声源,因此二者叶频特征相关性减弱。这表明当空化发生,空化噪声成为螺旋桨主要噪声时,本方法的准确性得到显著提高。 Fig. 8(a), (b) and (c) are the normalized power spectral density low-frequency line spectrum amplitude comparison of the cavitation wake pressure fluctuation and the measurement noise signal under the non-uniform inflow of the E779B propeller. Figure 7 shows that the amplitude of the low-frequency line spectrum of pressure pulsation and noise is at 15, 20 and 25rps, and the variation trends of the shaft frequency, double shaft frequency and triple shaft frequency amplitude of the two are basically the same. When the blade frequency is at 15rps, the difference between the two is the largest, at 20rps, the difference between the two decreases, and at 25rps, the difference is basically the same. This shows that when the propeller rotates at 25rps, cavitation obviously occurs, and cavitation noise becomes the main noise. At this time, the correlation between the two blade frequency amplitude characteristics is strengthened. However, when the speed is low (15rps), no cavitation occurs, and the ambient noise becomes the main sound source at this time, so the correlation between the two leaf frequency characteristics is weakened. This shows that the accuracy of this method is significantly improved when cavitation occurs and cavitation noise becomes the main noise of the propeller. the
如图4(b)所示,所述的步骤6中的空化尾流压力脉动非定常计算包括以下步骤: As shown in Figure 4(b), the unsteady calculation of cavitation wake pressure fluctuations in step 6 includes the following steps:
(6-1)导入步骤5中选定的网格生成算例文件; (6-1) Import the mesh generation calculation example file selected in step 5;
(6-2)空化模型和湍流模型设定; (6-2) Setting of cavitation model and turbulence model;
(6-3)数值计算参数设定; (6-3) Numerical calculation parameter setting;
(6-4)数值计算; (6-4) Numerical calculation;
(6-5)压力脉动信号提取:对尾流场中某一特定位置(A点)压力脉动检测并保存其检测数据。 (6-5) Pressure pulsation signal extraction: detect and save the pressure pulsation at a specific position (point A) in the wake field and save the detected data. the
步骤(6-2)的空化模型和湍流模型设定、步骤(6-3)的数值计算参数设定和(6-4)的数值计算分别与步骤2的空化模型和湍流模型设定、步骤3的数值计算参数设定和步骤4的数值计算相同。 The cavitation model and turbulence model setting in step (6-2), the numerical calculation parameter setting in step (6-3) and the numerical calculation in (6-4) are respectively the same as the cavitation model and turbulence model setting in step 2 , The numerical calculation parameter setting of step 3 is the same as the numerical calculation of step 4. the
本发明的方法可以在一般通用的CFD流体计算软件(CFX,FLUENT等)中实现,网格划分可以采用GAMBIT等软件实现。首先将初步设计的螺旋桨数字模型导入网格划分软件,并按照本发明中的方法进行网格划分。网格模型导入计算平台后形成数值算例文件,并在算例文件中设置数值参数,按照设计工况进行数值计算,并将压力脉动信号输出到文本文件。在MATLAB软件中编写功率谱密度变换程序,实现信号由时域到频域的变换,并最终提取低频线谱幅值参数。此外,本发明还利用批处理文件在操作系统平台进行并行数值计算。 The method of the present invention can be implemented in common CFD fluid calculation software (CFX, FLUENT, etc.), and grid division can be implemented by software such as GAMBIT. Firstly, import the preliminary designed propeller digital model into the grid division software, and perform grid division according to the method in the present invention. After the grid model is imported into the computing platform, a numerical example file is formed, and numerical parameters are set in the example file, numerical calculation is performed according to the design working conditions, and the pressure pulsation signal is output to a text file. Write the power spectral density transformation program in MATLAB software to realize the signal transformation from time domain to frequency domain, and finally extract the low-frequency line spectrum amplitude parameters. In addition, the invention also utilizes batch files to perform parallel numerical calculations on the operating system platform. the
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