## 6 Future Research Directions
### Systematic optimization  
Hydrodynamic noise control is not only limited to noise level reduction, but also requires comprehensive consideration of other performance metrics, such as energy efficiency, structural strength, and cost-effectiveness. Therefore, future research must focus on the development of multi-objective optimization methods to explore the complex relationship between hydrodynamic noise and these performance metrics. Through intelligent algorithms, especially multi-objective optimization techniques, researchers are able to optimize other performance metrics, while ensuring the effectiveness of noise control and achieving comprehensive optimization of the system design. By applying intelligent algorithms such as genetic algorithms and particle swarm optimization, the trade-offs between noise control, energy consumption, structural strength, and other performance metrics can be effectively explored, so as to propose the optimal design solution. This multi-objective optimization approach not only provides precise solutions for hydrodynamic noise control, but also promotes interdisciplinary cooperation between noise control technology and other engineering fields, prompting comprehensive and systematic engineering design thinking to become mainstream.  
Research Direction:  
Development of Multi-Objective Optimization Methods: investigate how to develop and apply multi-objective optimization methods that integrate multiple performance metrics, such as noise level, energy efficiency, structural strength, and cost-effectiveness. Through intelligent algorithms, we can explore the complex relationship between these performance metrics to achieve comprehensive optimization of system design.  
Application of Intelligent Algorithms: explore how intelligent algorithms such as genetic algorithms and particle swarm optimization can be applied, to effectively explore the trade-offs between noise control and performance, such as energy consumption and structural strength. Through these algorithms, an optimal design scheme is proposed to achieve multi-objective optimization.  
Interdisciplinary cooperation: strengthen interdisciplinary cooperation and integrate knowledge and technology from the fields of fluid mechanics, acoustics, materials science, and control engineering to jointly solve complex problems in hydrodynamic noise optimization. Through interdisciplinary cooperation, more efficient noise control methods and technologies can be developed.  
Application Prospects:  
Through the development of multi-objective optimization methods and the application of intelligent algorithms, researchers will be able to achieve precise control of hydrodynamic noise, while optimizing other performance metrics such as energy efficiency, structural strength, and cost-effectiveness. This will promote interdisciplinary co-operation between noise control technology and other engineering fields, leading to the mainstreaming of integrated and systematic engineering design thinking, and providing more comprehensive and efficient solutions for hydrodynamic noise control.  
Conceptualization, M.X. and B.F.; methodology, R.L. ([PERSON]) and R.L. ([PERSON]); validation, X.W.; resources, M.X. and S.Z.; project administration, B.F.; funding acquisition, Y.G. and J.M. All authors have read and agreed to the published version of the manuscript.  
This research was funded by the Zhejiang Provincial Natural Science Foundation of China under Grant, grant number LGG22E090001 and the Fundamental Research Funds for the Provincial Universities of Zhejiang under Grant, grant number 2023 YW44.  
Conflicts of Interest: The authors [PERSON], [PERSON], and [PERSON] were employed by the company Leo Group Pump (Zhejiang) Co., Ltd. The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.