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Study of 3D self-propulsive fish swimming using the δ+-SPH model

基于δ+-SPH模型的三维鱼自主游动问题研究

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Abstract

The bio-inspired propulsion facilitates the design of underwater vehicles because it benefits both the hydrodynamic performance and endurance of the underwater robots. This work is dedicated to investigating the fluid-structure interaction (FSI) of a three-dimensional (3D) self-propulsive anguilliform swimmer using the smoothed particle hydrodynamics (SPH) method. To this end, the δ+-SPH model incorporating with the techniques of tensile instability control (TIC) and adaptive particle refinement (APR) is adopted. Firstly, to validate the accuracy and stability of the present SPH model, viscous flows past 3D sphere are simulated and validated. After that, the 3D fish-liking swimming problem is simulated and the velocity of body center is compared with the reference result. Further, the comparison of the two-dimensional (2D) and 3D self-propulsive swimming problem shows that the longitudinal velocity and vorticity field are in large discrepancy. In addition, the vortex structure of the 3D fish’s wake is visualized and discussed in detail. It is demonstrated that the present 3D δ+-SPH model can be regarded as a reliable approach to investigate such bionic hydrodynamic problem close to a real fish.

摘要

仿生推进研究对水下潜器的水动力性能和续航能力提升具有重要意义. 为此, 本文采用光滑粒子流体动力学(Smoothed ParticleHydrodynamics, SPH) 方法研究了三维鱼自主游动的流固耦合(fluid-structure interaction, FSI)问题. 为提高SPH模型的计算精度和效率,文中采用了δ+-SPH模型并结合了张力不稳定控制技术(tensile instability control, TIC)和自适应粒子细化(adaptive particle refinement,APR)算法等. 计算结果部分, 为了验证SPH结果的精度和稳定性, 首先采用三维球体绕流基准算例进行验证, 随后将三维鱼游动速度与文献结果进行对比. 通过比较二维和三维鱼自主推进的结果发现, 两者预报的游动速度和涡量场均存在较大差异, 凸显了三维研究的必要性. 此外, 本文对三维鱼尾流的涡结构进行了可视化, 并展开详细讨论. 结果表明, 本文所建立的三维δ+-SPH模型为研究真实鱼类的仿生水动力性能提供了一种新的可靠手段. 黄晓婷, 孙鹏楠, 吕鸿冠, 钟诗蕴

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Acknowledgements

This work was supported by the Natural Science Foundation of Guangdong Province (Grant No. 2022A1515012084), the National Natural Science Foundation of China (Grant No. 51679053), and the Guangzhou Basic and Applied Basic Research Project (Grant No. 202102020371).

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Authors and Affiliations

  1. School of Ocean Engineering and Technology, Sun Yat-sen University, Zhuhai, 519082, China

    **ao-Ting Huang, Peng-Nan Sun, Hong-Guan Lyu & Shi-Yun Zhong

  2. Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai, 519080, China

    **ao-Ting Huang, Peng-Nan Sun, Hong-Guan Lyu & Shi-Yun Zhong

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**ao-Ting Huang contributed in roles of formal analysis, validation, investigation, visualization, writing original draft. Peng-Nan Sun contributed in roles of conceptualization, methodology, software, resources, data curation, supervision, funding acquisition, writing review and editing. Hong-Guan Lyu contributed in roles of investigation, writing review and editing. Shi-Yun Zhong contributed in roles of writing review, editing and visualization.

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Huang, XT., Sun, PN., Lyu, HG. et al. Study of 3D self-propulsive fish swimming using the δ+-SPH model. Acta Mech. Sin. 39, 722053 (2023). https://doi.org/10.1007/s10409-022-22053-x

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