A charge-conservative model for simulating such electrohydrodynamics' systems in the framework of smoothed particle hydrodynamics method

Due to the neglecting the rate of change in electric charges in the widely used leaky dielectric model (LDM), the e ect of charge conservation mechanism on two-phase electrohydrodynamics' (EHD) flows remains not well-explored. Therefore, in the current work, we present a charge-conservative model (CCM) for simulating such EHD systems

in the framework of smoothed particle hydrodynamics (SPH) method. Here, we present a fully explicit incompressible SPH (EISPH) method for the discretisation of the electricpotential-

Poisson equation (EPPE) and the Nernst-Planck (N-P). The comparison with the analytical solutions and available numerical results are performed for the veri cation of the proposed CCM. It is shown that the proposed CCM is able to produce accurate results for the investigated test cases. The two novelties of this work are that (i) this is the first time that CCM is presented for the ISPH frame work and (ii) is discretised in a fully explicit manner.