In this paper, the effect of the surface oscillations of a levitated droplet subject to electromagnetic and external forces, and modeled as a 3D mesh-free fluid particles system, is considered. The droplet was analyzed in a force field, which was derived from the magnetic field produced by the coil. The electromagnetic force was continuously updated with the shape and position change. To describe the fluid motion, the Navier-Stokes equations are discretized using the Moving Particle Semi-implicit (MPS) method. A numerical model based on MPS method was developed, the equations of motion were solved, the free surface of the droplet was approximated, the interface reconstructed and the oscillations frequency spectra analyzed. Two weight functions are considered and their performance compared in order to to improve the stability of MPS method.
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