Multiphase flows simulation with the Smoothed Particle Hydrodynamics method

TL;DR

This paper introduces a novel multiphase SPH model with shifting algorithm and variable smoothing length, enhancing accuracy and interphase management in multiphase flow simulations, validated through canonical experiments.

Contribution

The work develops a new multiphase SPH model incorporating shifting and variable smoothing length, improving interphase accuracy and stability in complex flow scenarios.

Findings

Enhanced accuracy in multiphase flow simulations.

Improved interphase definition in highly deformed cases.

Validation against canonical experiments confirms effectiveness.

Abstract

This work presents a new multiphase SPH model that includes the shifting algorithm and a variable smoothing length formalism to simulate multi-phase 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.