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Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations

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Abstract

The main goal of this paper is to provide a Reduced Order Model (ROM) able to predict the liquid induced dissipation of the violent and vertical sloshing problem for a wide range of liquid viscosities, surface tensions and tank filling levels. For that purpose, the Delta Smoothed Particle Hydrodynamics (\(\delta \)-SPH) formulation is used to build a database of simulation cases where the physical parameters of the liquid are varied. For each simulation case, a bouncing ball-based equivalent mechanical model is identified to emulate sloshing dynamics. Then, an interpolating hypersurface-based ROM is defined to establish a mapping between the considered physical parameters of the liquid and the identified ball models. The resulting hypersurface effectively estimates the bouncing ball design parameters while considering various types of liquids, producing results consistent with SPH test simulations. Additionally, it is observed that the estimated bouncing ball model not only matches the liquid induced dissipation but also follows the liquid center of mass and presents the same sloshing force and phase-shift trends when varying the tank filling level. These findings provide compelling evidence that the identified ROM is a practical tool for accurately predicting critical aspects of the vertical sloshing problem while requiring minimal computational resources.

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Data Availability

The experimental data used to validate the numerical tool can be found in http://canal.etsin.upm.es/ftp/SLOWD_DATABASE/case_1/index.html. The SPH data can be downloaded in http://canal.etsin.upm.es/ftp/SLOWD_DATABASE/Numerical_data/AQUAgpusph/. Videos of the SPH simulations and experiments can be downloaded at http://canal.etsin.upm.es/files/SLOWD/videos/. The 54 simulation points for the hypersurface identification and the ROM responses can be found in http://canal.etsin.upm.es/ftp/SLOWD_DATABASE/ROM_data/SPH_BB/.

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Funding

This paper has been supported by SLOWD project. The SLOWD project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No 815044.

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Authors and Affiliations

  1. Canal de Ensayos Hidrodinámicos de la ETSI Navales (CEHINAV), Universidad Politécnica de Madrid (UPM), Madrid, Spain

    Jon Martinez-Carrascal & Leo Miguel González-Gutiérrez

  2. Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, Rome, Italy

    Marco Pizzoli, Francesco Saltari & Franco Mastroddi

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  1. Jon Martinez-Carrascal
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Correspondence to Jon Martinez-Carrascal.

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Martinez-Carrascal, J., Pizzoli, M., Saltari, F. et al. Sloshing reduced-order model trained with Smoothed Particle Hydrodynamics simulations. Nonlinear Dyn 111, 21099–21115 (2023). https://doi.org/10.1007/s11071-023-08940-7

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