Numerical Investigation of Cavitation-induced Noise and Hydrodynamic Instability Around a Two-dimensional Hydrofoil

Minh Duc Nguyen1, , Ngoc Tu Tran2, , Van Duyen Pham2,  
1 Cat Tuong Nguyen - LA Company Limited, Long An, Vietnam
2 Faculty of Shipbuilding, Vietnam Maritime University, Haiphong, Vietnam

Main Article Content

Abstract

In this numerical study, physical characteristics of cavitating flow around a two-dimensional hydrofoil was investigated using a Large Eddy Simulation (LES) framework. To capture the phase change, the Schnerr–Sauer cavitation model was applied to the simulation. First, the numerical results were carefully validated with current experimental study to ensure the accuracy of the numerical scheme. Then, systematic analysis of cavity evolution around the hydrofoil, velocity fields and streamline behaviors, and pressure distribution on the surface of the hydrofoil under two different flow conditions (σ = 2.57 and 4.95) were carried out. The results indicated that cavitation numbers have significant effects on the formation of the cavity as well as stability of the cavity dynamics. In particular, at high cavitation number, no cavity was observed on the suction side of the hydrofoil. However, as the cavitation number decreases to 2.57, the local pressure dropped significantly, leading to cavity formation. In addition, the acoustic analysis showed that cavitation substantially increased the sound pressure level (SPL) over a wide range of the frequencies. Moreover, formation of cavities on the suction side of the hydrofoil significantly induced instability of the hydrodynamic forces. Findings from this numerical study demonstrate unexpected influences of the cavitating flow on the hydrofoil. This provides valuable insight into the design and optimization of the hydrofoil geometry to reduce cavitation effects.

Article Details

References

[1] B. K. Ahn et al., “An experimental investigation of coherent structures and induced noise characteristics of the partial cavitating flow on a two-dimensional hydrofoil,” Fluids, vol. 5, no. 198, pp. 5040198, 2020.
[2] R. I. A. Simanto et al., “Experimental investigation on cavitation and induced noise of two-dimensional hydrofoils with leading-edge protuberances,” Physics of Fluids, vol. 34, no. 12, pp. 124115, 2022.
[3] E. Kadivar et al., “Control of unsteady partial cavitation and cloud cavitation in marine engineering and hydraulic systems,” Physics of Fluids, vol. 32, no. 5, pp. 052108, 2020.
[4] L. Zhang, M. Chen, and X. Shao, “Inhibition of cloud cavitation on a flat hydrofoil through the placement of an obstacle,” Ocean Engineering, vol. 155, no. 1, pp. 1-9, 2018.
[5] N. Heo and J. H. Kim, “Periodic behavior and noise characteristics of cavitation flow around two-dimensional hydrofoils,” Journal of Marine Science and Engineering, vol. 12, no. 9, 2024.
[6] Z. Li et al., “Numerical simulation of the sheet/cloud cavitation around a two-dimensional hydrofoil using a modified URANS approach,” Journal of Mechanical Science and Technology, vol. 31, no. 1, pp. 215-224, 2017.
[7] R. I. A. Simanto et al., “Comparative investigation of cavitating and non-cavitating flows around a two-dimensional hydrofoil using particle image velocimetry,” Physics of Fluids, vol. 37, no. 1, pp. 017168, 2025.
[8] R. I. A Simanto et al., “Effects of leading-edge protuberances on cavitation induced noise and hydrodynamic performances of three-dimensional hydrofoils,” Journal of Fluid Mechanics, vol. 1016, no. A56, 2025.
[9] V. D. Pham and B. K Ahn, “Large eddy simulation investigation on the effects of the forebody shape of a supercavitating torpedo,” Physics of Fluids, vol. 36, no. 10, pp. 103343, 2024.
[10] P. J. Roache, “Perspective: A method for uniform reporting of grid refinement studies,” Journal of Fluids Engineering, vol. 116, no. 3, pp. 405-413, 1994.
[11] J. E. F. Williams and D. L. Hawkings, “Theory relating to the noise of rotating machinery,” Journal of Sound Vibration, vol. 10, no. 1, pp. 10-21, 1969.
[12] H. K. Versteeg and W. Malalasekera, An introduction to computational fluid dynamics: The finite volume method, Pearson Education Limited, 2007.
[13] G. H. Schnerr and J. Sauer, “Physical and numerical modeling of unsteady cavitation dynamics,” Proc. of 4th International conference on multiphase flow, New Orleans, USA, 2001.