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research-article

Cylindrical SPH Simulations of Water Entry

[+] Author and Article Information
Kai Gong

Department of Mechanical Engineering, National University of Singapore, 1 Engineering Drive 2, Singapore 117576
gkfly@hotmail.com

Songdong Shao

Department of Civil and Structural Engineering, University of Sheffield, Sheffield S1 3JD, United Kingdom College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, China
s.shao@sheffield.ac.uk

Hua Liu

Department of Engineering Mechanics, MOE Key Laboratory of Hydrodynamics, Shanghai Jiao Tong University, Shanghai 200240, China
hliu@sjtu.edu.cn

Pengzhi Lin

State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China
cvelinpz@scu.edu.cn

Qinqin Gui

Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China
guiqinqin@nbu.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4042369 History: Received February 10, 2018; Revised December 17, 2018

Abstract

The paper presents a Smoothed Particle Hydrodynamics (SPH) modelling technique based on the cylindrical coordinates for axisymmetrical hydrodynamic applications, thus to avoid a full 3D numerical scheme as required in the Cartesian coordinates. In this model, the governing equations are solved in an axisymmetric form and the SPH approximations are modified into a 2D cylindrical space. The proposed SPH model is first validated by a dam break flow induced by the collapse of a cylindrical column of water with different water height to semi-base ratios. Then the model is used to two benchmark water entry problems, i.e. cylindrical disc and circular sphere entry. In both cases, the model results are favorably compared with the experimental data. The convergence of model is demonstrated by comparing with the different particle resolutions. Besides, the accuracy and efficiency of present cylindrical SPH are also compared with a fully 3D SPH computation. Extensive discussions are made on the water surface, velocity and pressure fields to demonstrate the robust modeling results of the cylindrical SPH.

Copyright (c) 2018 by ASME
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