This article presents a comprehensive review of numerical methods and models for interface
resolving simulations of multiphase flows in microfluidics and micro process engineering …

Many lab-on-a-chip applications require processing of droplets, cells, and particles using
narrow confinements. The physics governing the process of a particle squeezing through …

We present a practical numerical framework for incompressible interfacial multiphase flows
on unstructured grids with arbitrary and hybrid elements. The numerical framework is …

Surfactant-laden liquid plug propagation and rupture occurring in lower lung airways are
studied computationally using a front-tracking method. The plug is driven by an applied …

Airway mucus is a complex material with both viscoelastic and viscoplastic properties that
vary with healthy and pathological conditions of the lung. In this study, the effects of these …

We study the motion of a viscous drop rising in a viscoelastic liquid that exhibits elastic and
shear thinning effects and is represented by the exponential PTT constitutive model. We …

With the unique structure of multi-core compound droplets, they are increasingly used in
various industrial production fields, material fabrication, biological sciences, medicine, and …

A model of the bronchioles lined by the airway surface liquid is employed to investigate the
Plateau-Rayleigh instability that can lead to the occlusion of the airways. This …

A novel numerical algorithm and modeling framework of a front tracking method based on
adaptive anisotropic unstructured meshes for simulating two-phase interfacial flows is …

The present work proposes a method to study problems of drops and bubbles evolving in
complex geometries. First, a conservative level set (CLS) method is enforced to handle the …