DEVELOPMENT OF A NUMERICAL WAVE TANK WITH A CORRECTED SMOOTHED PARTICLE HYDRODYNAMICS SCHEME TO REDUCE NONPHYSICAL ENERGY DISSIPATION

Huang Xiaoting; Sun Pengnan; Lü Hongguan; Zhong Shiyun

doi:10.6052/0459-1879-22-041

Volume 54 Issue 6

May 2022

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Article Navigation > Chinese Journal of Theoretical and Applied Mechanics > 2022 > 54(6): 1502-1515

Huang Xiaoting, Sun Pengnan, Lü Hongguan, Zhong Shiyun. Development of a numerical wave tank with a corrected smoothed particle hydrodynamics scheme to reduce nonphysical energy dissipation. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1502-1515 doi: 10.6052/0459-1879-22-041

Citation:

Huang Xiaoting, Sun Pengnan, Lü Hongguan, Zhong Shiyun. Development of a numerical wave tank with a corrected smoothed particle hydrodynamics scheme to reduce nonphysical energy dissipation. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1502-1515 doi: 10.6052/0459-1879-22-041

Citation:

Huang Xiaoting, Sun Pengnan, Lü Hongguan, Zhong Shiyun. Development of a numerical wave tank with a corrected smoothed particle hydrodynamics scheme to reduce nonphysical energy dissipation. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1502-1515 doi: 10.6052/0459-1879-22-041

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DEVELOPMENT OF A NUMERICAL WAVE TANK WITH A CORRECTED SMOOTHED PARTICLE HYDRODYNAMICS SCHEME TO REDUCE NONPHYSICAL ENERGY DISSIPATION

doi: 10.6052/0459-1879-22-041

Huang Xiaoting^{*, †},
Sun Pengnan^{*, †
,},
Lü Hongguan^{*, †},
Zhong Shiyun^*

*.
School of Ocean Engineering and Technology, Sun Yat-sen University, Zhuhai 519082, Guangdong, China
†.
Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519082, Guangdong, China

Funds: The project was supported by the National Natural Science Foundation of China(12002404, 52171329)and Guangzhou Basic and Applied Basic Research Project (202102020371 ).

Received Date: 2022-01-21
Accepted Date: 2022-04-11

Available Online: 2022-04-12

Publish Date: 2022-06-18

Abstract

Abstract

So far, the smoothed particle hydrodynamics (SPH) method has been widely applied in the study of the interactions between water waves and structures. However, nonphysical energy dissipation is a still problem which challenges the simulation of wave-body interactions at large-scale and long duration. For example, in the SPH simulation of wave propagation to a long distance, the wave height could gradually become much smaller than the one generated near the wave maker. To tackle this problem, in this work a kernel correction algorithm is applied to the pressure gradient term in the SPH model, aiming to prevent nonphysical energy dissipation in long time simulations. The kernel correction algorithm is able to ensure the symmetry of the interaction between particle pairs, and therefore, compared with other corrective methods, the present corrected algorithm ensures the conservation of linear momentum and also avoids the complicated treatment at the free surface. Two numerical cases, i.e., the oscillating droplet and wave propagation in a numerical wave tank, are presented to test the accuracy and validity of present corrected SPH algorithm. For the oscillating droplet case, the corrected algorithm is shown to accurately simulate the evolution of the droplet shape, and the kinetic energy is dissipated much slower than traditional SPH models. Through the simulations of regular and irregular wave propagations as well as validations with experimental data, the capability of the corrected SPH algorithm to reduce nonphysical energy attenuation is demonstrated, even for wave propagation at long-term and long-distance conditions. In addition, this algorithm will be shown to be optimal for the SPH simulation at small smooth length, which contributes to save SPH computational cost significantly at three dimensional simulations.
- smoothed particle hydrodynamics,
- mesh free method,
- kernel correction,
- numerical wave tank

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References(37)

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