Journal
APPLIED OCEAN RESEARCH
Volume 106, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.apor.2020.102414
Keywords
Solitary wave; Tsunami; Plunger-type wavemaker; Piston-type wavemaker; Water entry; Smoothed Particle Hydrodynamics
Categories
Funding
- National Natural Science Foundation of China [51709201]
- 2019 Subsidy Fund Project for Marine Economy Development in Fujian Province [FJHJF-L-20198]
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This study proposes a theoretical method to generate solitary waves using a plunger, deriving new formulae for plunger descent and constraints on wave height. By applying a Smoothed Particle Hydrodynamics model to simulate wave generation, it is found that plunger-type wavemakers can produce accurate solitary waves comparable to those generated by piston-type wavemakers, expanding the functionalities of plunger-type wavemakers.
Although solitary wave generation using a piston-type wavemaker has been common, the method cannot be applied to all wave tanks because many of them have been or will be equipped with plunger-type wavemakers. How to use a plunger to generate solitary waves as good as those generated by a piston is an unsolved but practically significant problem. Herein, a theoretical method is proposed. New formulae for the precise descent of an arbitrary-geometry plunger are derived and constraints on the produced wave height are given. Taking wedge-shaped, box-shaped, and cylinder-shaped plungers as examples, the generic wave-making theory and constraints are then specified. On their bases a Smoothed Particle Hydrodynamics (SPH) model is applied to simulate the solitary wave generation, and its reliability is validated in advance by reproducing available experiments. The SPH-simulated wave profiles, velocity fields, and pressure fields are examined by comparing SPH results with analytical solutions. In addition, plunger-type and piston-type as well as Rayleigh-based and Boussinesq-based solitary wave generation are compared. The results show that the solitary wave generated by a plunger-type wavemaker can be as accurate as the one generated by a piston-type wavemaker, provided that the plunger does not have a sharp corner or an incompatible surface with the wave profile. It is therefore anticipated that the proposed theory will extend the functionalities of existing plunger-type wavemakers and benefit plunger design in the future.
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