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Mathematical Problems in Engineering
Volume 2015, Article ID 350496, 15 pages
Research Article

Simulation of Droplet Impacting on Elastic Solid with the SPH Method

1School of Mechanical Engineering, Xinjiang University, Urumqi, Xinjiang 830046, China
2School of Electrical Engineering, Xinjiang University, Urumqi, Xinjiang 830046, China
3State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an 710049, China

Received 10 September 2014; Revised 11 January 2015; Accepted 11 January 2015

Academic Editor: Stanford Shateyi

Copyright © 2015 Xiao-Jing Ma and Mamtimin Geni. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The phenomenon of droplet impacting on solid surfaces widely exists in both nature and engineering systems. However, one concern is that the microdeformation of solid surface is difficult to be observed and measured during the process of impacting. Since the microdeformation can directly affect the stability of the whole system, especially for the high-rate rotating components, it is necessary to study this phenomenon. Aiming at this problem, a new numerical simulation algorithm based on the Smoothed Particle Hydrodynamics (SPH) method is brought forward to solve fluid-solid coupling and complex free surface problems in the paper. In order to test and analyze the feasibility and effectiveness of the improved SPH method, the process of a droplet impacting on an elastic plate was simulated. The numerical results show that the improved SPH method is able to present more detailed information about the microdeformation of solid surface. The influence of the elastic modulus of solid on the impacting process was also discussed.