Multiphase Flows Simulation with the Smoothed Particle Hydrodynamics Method

Abstract

This work presents a new multiphase SPH model that includes the shifting algorithm and a variable smoothing length formalism to simulate multiphase flows with accuracy and proper interphase management. The implementation was performed in the DualSPHysics code, and validated for different canonical experiments, such as the single-phase and multiphase Poiseuille and Couette test cases. The method is accurate even for the multiphase case for which two phases are simulated. The shifting algorithm and the variable smoothing length formalism has been applied in the multiphase SPH model to improve the numerical results at the interphase even when it is highly deformed and non-linear effects become important. The obtained accuracy in the validation tests and the good interphase definition in the instability cases, indicate an important improvement in the numerical results compared with single-phase and multiphase models where the shifting algorithm and the variable smoothing length formalism are not applied.

Numerical Simulation of Two-Phase Water-Oil Flow in a Horizontal Pipe Using the Smoothed Particle Hydrodynamics Method

“…In the modi ed Couette ow, as described by Alvarado-Rodríguez et al [7], the ux occurs between two in nite parallel plates for two uids with distinct densities ( 1 and 2 ) and viscosities ( 1 and 2 ).…”

“…In this ow, we seek to identify the ow regimes reported by Alvarado-Rodríguez et al [7]. We display in Fig.…”

“…Alternatively, Alvarado-Rodrígues et al [7] studied the two-phase ow with the SPH method and used an articial viscosity and a particle shifting algorithm to maintain uniform particles distribution in the domain and thus prevent the appearance of regions that do not contain particles. The results were validated considering the Poiseuille and Couette two-phase ows.…”