An axisymmetric multiphase moving particle semi-implicit method for simulation of 3D axisymmetric flow

Axisymmetric flows are widespread problems in the engineering field, but doing complete 3D simulations for them is very time-consuming. This study aims to develop an axisymmetric multiphase MPS method based on the Cartesian coordinate to transform the 3D problems onto 2D planes without losing important flow characteristics. To meet the calculation requirements of the MPS discretization, the virtual rotating particles were imaged within the effective radius of the real particles on the 2D plane, and particle number densities of the real particles were calculated by considering the contributions of the virtual rotating particles. The pressure Poisson equation, gradient, divergence, and Laplace operators were modified correspondingly to consider the interactions of the real particles with the virtual rotating particles. The method was validated by simulating 3D axisymmetric problems, namely, the capillary jet breakup, rising gas bubble, and droplet formation. The accuracy and stability of the developed method were demonstrated by comparing the numerical results with the reference data.