In this paper, we have modeled the Kelvin-Helmholtz Instability (KHI) problem of an incompressible two-phase immiscible fluid in a stratified inviscid shear flow with interfacial tension using Smoothed Particle Hydrodynamics (SPH) method. The time dependent evolution of the two-fluid interface over a wide range of Richardson number (Ri) and for three different density ratios is numerically inve...

Smoothed particle hydrodynamics (SPH) and moving semi-implicit (MPS) methods are representative meshfree used to compute Lagrangian mechanics. The approximations of differential operators in the SPH MPS have several similarities, but theoretical discussion difference between them is limited. This study mathematically describes via a comprehensive derivation first- second-order derivative for ea...

We try to demonstrate in this article that, for quasi-incompressible flows, the standard symmetric formulation of pressure gradient in smoothed particle hydrodynamics (SPH) is not necessarily superior to asymmetric ones. Comparative simulations on plane Poiseuille flows at very low Reynolds numbers show that the results using symmetric formulation are more dependent on the computational sound s...

Varieties of energy-stable numerical methods have been developed for incompressible two-phase flows based on the Navier-Stokes–Cahn–Hilliard (NSCH) model in Eulerian framework, while few investigations made Lagrangian framework. Smoothed particle hydrodynamics (SPH) is a popular mesh-free method solving complex fluid flows. In this paper, we present pioneering study SPH discretization NSCH We p...