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Smoothed particle hydrodynamics modelling of the Rayleigh-Plateau instability

Olejnik M., Szewc K.

Journal of Theoretical and Applied Mechanics

2018

Vol. 56 nr 3

675--686

The break-up of liquid ligaments and formation of droplets are elementary phenomena in multiphase ﬂows which are of high importance in industrial and medical applications. From the numerical point of view, they require proper interface and surface tension treatment. In the present work, we apply Smoothed Particle Hydrodynamics, a meshless approach, to simulate the break-up of a liquid cylinder inside the gaseous phase, i.e. the Rayleigh-Plateau instability. Results obtained in 3D show that even a relatively coarse resolution allows one to predict correctly the size of droplets formed in the process. The detailed analysis of the break-up time in 2D setup implies that a certain level of spatial discretisation needs to be reached to determine this moment precisely.

Smoothed particle hydrodynamics simulations using graphics processing units

Szewc K.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

2014

Vol. 18, No 1

67--80

Smoothed Particle Hydrodynamics (SPH) is a fully Lagrangian, particle-based technique for fluid-flow modeling. As a gridless method, it appears to be a natural approach to simulate multi-phase flow with complex geometries. Since SPH involves a large set of short-range particle-particle interactions, numerical implementations present a high degree of spatial data locality and a significant number of independent computations. Therefore, the numerical code can be easily written in a massively parallel manner. The main purpose of this study is to discuss the issues related to the implementation of the SPH method for computation using Graphics Processing Units (GPU). The study is supported by two-dimensional validation cases: the lid-driven cavity and oscillation of a droplet. The obtained results show a good accuracy of the method, as well as, high numerical efficiency of its GPU implementation.