Numerical Simulation of Two-Phase Flows Using Fourier Pseudospectral Method

The present work proposes the extension of the IMERSPEC methodology for numerical simulations of two-phase flows. This methodology consists of the fusion between the Fourier pseudospectral method and the immersed boundary method for non-periodical problems. This method was originally developed for single-phase and incompressible flows (Mariano et al., Comput Model Eng Sci 59: 181-216, 2010). In the present paper, we extend this methodology for two-phase flows using the front-tracking method to model the fluid-fluid interface. The results involving the spurious currents, mass conservation and analysis through numerical experimental bubbles rise, show that the proposed method can be considered validated and promising to computational fluid dynamics (CFD).