Smoothed Particle Hydrodynamics: A consistent model for interfacial multiphase fluid flow simulations

Abstract

In this work, a consistent Smoothed Particle Hydrodynamics (SPH) model is proposed to deal with interfacial multiphase uid ows simulation. A Continuum Stress Surface formulation (CSS) [1] was developed in the framework of SPH method using a non-conservative rst order consistency operator to calculate the divergence of stress surface tensor. This enables the enhancement of the stability near the uid interface. This formulation benets of all the advantages of the one proposed by Adami et al [2] and, in addition, it can be applied to more than two phases uid ow simulations. The generalized wall boundary conditions [3] are modied in order to be well adapted to multiphase uid ows with dierent density and viscosity. A particle redistribution strategy is proposed R1: as an extension of the damping technique presented in [3] to adequately initialize the conditions of gravitational multiphase uid ows. This strategy is based on the gradual application of a damping technique to mitigate gravity force in both momentum and pressure wall boundary condition equations. Several computational tests are investigated to show the accuracy and convergence of the proposed SPH interfacial multiphase model. Moreover, a simulation of a rising bubble crossing two stratied uid layers is performed with more challenging constraints such as high density ratio, high viscosity ratio, and with presence of triple points

Comparative study of two corrective gradient models in the simulation of multiphase flows using moving particle semi‐implicit method

“…The CGMD‐PS shows enhancing effects both quantitively and qualitatively in capturing clear interface and predicting interface evolution. Numerical tests of Rayleigh‐Taylor instability and rising bubble have also been conducted for other particle methods such as SPH in References , and . Our results using MPS‐CGMD‐PS are also comparable with the results by these multiphase SPH schemes.…”

Evolution of the Free Surfaceof 3-D Schematic Dam Break using Smoothed Particle Hydromechanics Method

“… is the relative velocity between the particle i and j. The value of the dimensionless parameter δ is chosen as (δ = 0.1) as in (10) For the generalized wall boundary condition, we used the methods proposed in (11) and (12). In this method, three layers of dummy particles must be added in the normal direction to the wall interface.…”

“…In this method, three layers of dummy particles must be added in the normal direction to the wall interface. The system is integrated by usnig the Predictor Corrector scheme proposed by krimi et al (12).…”

Heterogeneous/particle-laden blast waves

“…Initially developed for the simulation of astrophysical phenomena, the SPH method is a meshless method that has the advantage of being able to handle extreme interface deformations and density variations. SPH has been used to simulate interfacial multiphase fluid flows (e.g., [35]), as well as the specific problem of the explosive dispersal of particles [36]. The SPH method yields qualitatively reasonable results, although the choice of appropriate material models to produce quantitatively accurate predictions remains largely unresolved.…”