Abstract
A hybrid approach based on the immersed boundary method (IBM) is developed for computation of flow-induced sound around moving bodies. In this method, a high-fidelity direct numerical simulation (DNS) solver is used to simulate the incompressible flow field. The sound field is predicted by discretizing acoustic perturbation equations (APEs) with dispersion-relation-preserving space scheme and low-dispersion and low-dissipation Runge-Kutta time integration. A sharp-interface IBM based on ghost-cell is implemented for present two-step DNS-APE approach to deal with complex moving bodies with Cartesian grids. The present method is validated through simulations of sound generation caused by flow past a rotating cylinder, an oscillating cylinder, and tandem oscillating and stationary cylinders. The sound generated by typical kinds of complicated bio-inspired locomotions, i.e., flapping flight by wings of varied shapes and collective undulatory swimming in tandem, are investigated using present method. The results demonstrate potential of the hybrid approach in addressing flow-induced sound generation and propagation with complex moving boundaries in a fluid medium, especially for the sound characteristics of bio-mimetic flows, which might shed lights on investigations on bio-acoustics, ethology of complex animal system, and related bio-mimetic design for quietness.
摘要
发展了基于浸入边界法的流噪声混合模拟方法, 用于模拟运动体引起的流噪声. 不可压流动采用高保真直接数值模拟(DNS)求 解器; 声传播方程(APE)用于模拟声场. 其中后者采用色散关系保持空间格式和低色散低耗散龙格库塔时间格式. 该DNS-APE两步法将 基于虚拟单元的锐利界面浸入边界法应用在笛卡尔网格上处理复杂运动边界. 验证算例包括旋转单圆柱、振荡单圆柱以及串联静止 和振荡圆柱组合所产生的流噪声. 研究了不同形状扑翼飞行运动和串联集群波状游动两种典型复杂仿生运动所产生的声场. 本文展示 了该高精度混合方法在模拟具有复杂运动边界的流动诱发的噪声产生和传播(声场)方面具备有效性, 尤其是在预测生物或仿生机器所 产生的流动噪声特性方面, 可为动物声学、动物复杂系统行为学和相关仿生工程的低噪声设计等方面的研究和开发提供相关理论依 据和概念.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 52301380 and 11602277). Cheng Zhao and Yan Yang appreciate Prof. Haibo Dong’s help on the CFD solver during their visit. Authors thank the anonymous referees’ helpful suggestions which improved the quality of the paper.
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Author contributions Cheng Zhao and Yan Yang designed the research. Yan Yang supervised and administrated the investigations. Cheng Zhao developed the original code of APE solver, performed the data post-process. Cheng Zhao and Yan Yang performed data analysis and wrote the first draft of the manuscript. Hong-Gang Li, Xue-Gang Li, and Kai Cui helped organize the manuscript. Yan Yang and Cheng Zhao revised and edited the final version. Hong-Gang Li, Xue-Gang Li, and Kai Cui helped on computational resources.
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Zhao, C., Li, HG., Li, XG. et al. Hybrid approach for simulating flow-induced sound around moving bodies based on ghost-cell immersed boundary method. Acta Mech. Sin. 40, 323621 (2024). https://doi.org/10.1007/s10409-024-23621-x
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DOI: https://doi.org/10.1007/s10409-024-23621-x