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Towards SPH simulations of cavitating flows with an EoSB cavitation model

光滑粒子流体动力学框架下的EoSB空化模型及空化流动数值 模拟研究

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Abstract

The smoothed particle hydrodynamics (SPH) research community has pursued simulating cavitating flows during the past decades, but so far there are no accurate and stable SPH-based cavitation models. This paper aims to present an attempt to predict cavitation phenomena within the SPH framework. To this end, an equation-of-state-based (EoSB) cavitation model is proposed in the SPH context to capture the inception and development of cavitating flows. In particular, the SPH technique named volume adaptive scheme (VAS) is employed to guarantee isotropic particle distribution when cavitating regions rapidly expand or shrink. Besides, with the purpose of preventing particle clumping and avoiding spurious flow voids induced by negative pressures, two SPH techniques called particle shifting technique (PST) and tensile instability control (TIC) are respectively adopted in the SPH model to further improve the numerical accuracy and stability. Finally, in order to make the present SPH model more applicable to problems with a high Reynolds number, a large eddy simulation (LES) model is also employed to take turbulence effects into account. It is evidently demonstrated that the present SPH model can provide a basically accurate prediction for several cavitation phenomena including cavitating areas and pressure distributions.

摘要

过去十余年来, 光滑粒子流体动力学(Smoothed Particle Hydrodynamics, SPH)研究领域一直在探索空化流动的数值模拟, 但迄 今为止依然没有精确且稳定的SPH空化模型. 本文将阐述一种在SPH框架内实现空化流动模拟的数值方法. 首先, 为了捕捉空化初生及 其发展, 本文在SPH框架内提出一种基于状态方程的相变模型. 特别地, 本文还引入一种粒子体积自适应算法(Volume Adaptive Scheme, VAS), 以保证空化区域流体剧烈膨胀时粒子体积分布的均一性. 此外, 本文还采用粒子位移修正技术(Particle Shifting Technique, PST)和张力不稳定性控制技术(Tensile Instability Control, TIC)以提高粒子分布质量和抑制数值空洞的产生. 最后, 本文还通过引入大涡 模拟(Large Eddy Simulation, LES)模型以考虑湍流效应, 提高本文提出的SPH空化模型对高雷诺数流动的适用性. 研究结果表明, 本文 提出的基于SPH方法的新空化模型能实现空化区域和压力分布等问题的精确预报.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 12002404 and 52171329), the Key-Area Research and Development Program of Guangdong Province (Grant Nos. 2020B1111010002 and 2020B1111010004), the Natural Science Foundation of Guangdong Province of China (Grant No. 2022A1515012084), and the Fundamental Research Funds for the Central Universities, Sun Yat-sen University.

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Authors and Affiliations

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

    Hong-Guan Lyu  (吕鸿冠) & Peng-Nan Sun  (孙鹏楠)

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

    Hong-Guan Lyu  (吕鸿冠) & Peng-Nan Sun  (孙鹏楠)

  3. CNR-INM, Institute of Marine Engineering, Rome, Italy

    Andrea Colagrossi

  4. College of Shipbuilding Engineering, Harbin Engineering University, Harbin, 150001, China

    A.-Man Zhang  (张阿漫)

Authors
  1. Hong-Guan Lyu  (吕鸿冠)
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  2. Peng-Nan Sun  (孙鹏楠)
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  3. Andrea Colagrossi
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  4. A.-Man Zhang  (张阿漫)
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Corresponding author

Correspondence to Peng-Nan Sun  (孙鹏楠).

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Author contributions

Hong-Guan Lyu are wrote the original draft, data curation, formal analysis, investigation, software, resources, validation and visualization. Peng-Nan Sun wrote a draft review, conceptualization, methodology, project administration, funding acquisition, resources and supervision. Andrea Colagrossi wrote a draft review, supervision and methodology. A-Man Zhang wrote a draft review, funding acquisition and supervision.

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Lyu, HG., Sun, PN., Colagrossi, A. et al. Towards SPH simulations of cavitating flows with an EoSB cavitation model. Acta Mech. Sin. 39, 722158 (2023). https://doi.org/10.1007/s10409-022-22158-x

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