Abstract
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.
Highlights
The phenomenon of droplet impacting on solid surfaces widely exists in nature
The two-dimensional Newtonian droplet impacting on a rigid plate as a typical instance for free surface flows has been investigated by other researchers [26, 31, 32]
This paper presents an improved Smoothed Particle Hydrodynamics (SPH) method to deal with the fluid-solid coupling problems
Summary
The phenomenon of droplet impacting on solid surfaces widely exists in nature Simulation of this kind of problems has always been a difficult and important research area in the computational fluid dynamics (CFD). Mesoscopic simulation methods have been proposed including MPS [5], LBM [6], and DPD [7] These methods can deal with the unsteady flows with complex free surfaces, they lead to high computational complexity and large amount of data processing. In the SPH method, the computed domain is discretized into several continuous particles with material properties. These physical quantities are obtained by integral representation of function [34] as follows:. Ω where ⟨f(x)⟩ is the approximation of f(x), x is the vector position, the smoothing length h defines the influence area of the kernel function W, and W satisfies the following conditions:
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