Numerical simulation of hydro-elastic problems with smoothed particle hydrodynamics method  

作　　者：刘谋斌 邵家儒 李慧琦 

机构地区：[1]Institute of Mechanics,Chinese Academy of Sciences [2]School of Information and Electronics,Beijing Institute of Technology

出　　处：《Journal of Hydrodynamics》2013年第5期673-682,共10页水动力学研究与进展B辑（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11172306,11232012 and81271650);the New Century Excellent Talents(Grant No.NCET-10-0041);the 100 Talents Programme of the Chinese Academy of Sciences

摘　　要：Violent free surface flows with strong fluid-solid interactions can produce a tremendous pressure load on structures, resu- lting in elastic and even plastic deformations. Modeling hydro-elastic problems with structure deformations and a free surfaee breakup is difficult by using routine numerical methods. This paper presents an improved Smoothed Particle Hydrodynamics （SPH） method for modeling hydro-elastic problems. The fluid particles are used to model the free surface flows governed by Navier-Stokes equations, and the solid particles are used to model the dynamic movement and deformation of the elastic solid objects. The improved SPH method employs a Kernel Gradient Correction （KGC） technique to improve the computational accuracy and a Fluid-Solid Interface Treatment （FSIT） algorithm with the interface fluid and solid particles being treated as the virtual particles against their counterparts and a soft repulsive force to prevent the penetration and a corrective density approximation scheme to remove the numerical oscillations. Three typical numerical examples are simulated, including a head-on collision of two rubber rings, the dam break with an elastic gate and the water impact onto a forefront elastic plate. The obtained SPH results agree well with experimental observations and numerical results from other sources.Violent free surface flows with strong fluid-solid interactions can produce a tremendous pressure load on structures, resu- lting in elastic and even plastic deformations. Modeling hydro-elastic problems with structure deformations and a free surfaee breakup is difficult by using routine numerical methods. This paper presents an improved Smoothed Particle Hydrodynamics （SPH） method for modeling hydro-elastic problems. The fluid particles are used to model the free surface flows governed by Navier-Stokes equations, and the solid particles are used to model the dynamic movement and deformation of the elastic solid objects. The improved SPH method employs a Kernel Gradient Correction （KGC） technique to improve the computational accuracy and a Fluid-Solid Interface Treatment （FSIT） algorithm with the interface fluid and solid particles being treated as the virtual particles against their counterparts and a soft repulsive force to prevent the penetration and a corrective density approximation scheme to remove the numerical oscillations. Three typical numerical examples are simulated, including a head-on collision of two rubber rings, the dam break with an elastic gate and the water impact onto a forefront elastic plate. The obtained SPH results agree well with experimental observations and numerical results from other sources.

关 键 词：Smoothed Particle Hydrodynamics （SPH） hydro-elasticity Fluid-Structure Interaction （FSI） artificial stress 

分 类 号：O35[理学—流体力学] O242.1[理学—力学]