Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

Microfluidic technology has advantages in producing high-quality droplets with
monodispersity which is promising in chemical engineering, biological medicine and so on …

In this work, we propose a novel phase-field model for the simulation of two-phase flows that
is accurate, conservative, bounded, and robust. The proposed model conserves the mass of …

The wetting effect has attracted great scientific interest because of its natural significance as
well as technical applications. Previous models mostly focus on one-component fluids or …

A phase-field implicit material point method with the convected particle domain interpolation
(PF-ICPDI) is proposed to model the brittle–ductile failure transition in pressure-sensitive …

With elevated confining pressure and low temperatures, geomaterials may exhibit brittle-to-
ductile failure transition due to increased cataclastic flow. In this work, we propose a …

Iron is a common impurity element in Al–Si alloys. The existence of Fe promotes the
formation of needle-like iron-rich phase, which has an adverse effect on the macroscopic …

The modeling and simulation of two-phase flows is still an active research area, mainly
when surface tension is present. One way to model the different phases is with interface …

The presence of fractures increases the difficulty of flow mechanisms analysis, and it
remains unclear how fractures affect multiphase flow displacement in the layered rock …

A second-order, stable, and efficient numerical method is proposed for the simulation of high-
dimensional two-phase incompressible flow. The model considers the coupled system of …