We develop a reduction-consistent axisymmetric lattice Boltzmann equation method (LBE)
for hydrodynamics and interface capturing among N (N≥ 2) immiscible fluids with large …

To simulate Leidenfrost drops over a heated liquid pool (namely the liquid-substrate-based
(LSB) Leidenfrost drops), a model of evaporation phase change contained within a three …

In this study, we present an operator splitting method (OSM) for the Cahn–Hilliard (CH)
equation on a nonuniform mesh. The CH equation is a fourth-order partial differential …

Multiphase numerical simulations have become a widely sought methodology for modelling
capillary flows due to their scientific relevance and multiple industrial applications. Much …

In this study, we develop an efficiently linear and energy-stable method for the
incompressible Navier–Stokes equation. A time-dependent Lagrange multiplier is …

Modeling moving contact-line with surfactant has become a widely sought methodology due
to its scientific relevance and extensive applications. Within the phase field framework, we …

When the structure of the media is complex or there are strong interfaces, the simulated
seismic waves obtained by the traditional forward modeling methods are often difficult to fit …

A ternary fluid color‐gradient lattice Boltzmann model is proposed to investigate the effect of
mixing‐induced dynamic interfacial tension on the diffusive mixing of two fluids inside …

We numerically study the dynamics of axisymmetric compound liquid threads with a phase-
field model. Compound threads consist of a middle annular thread enclosing an inner core …

In this paper, a lattice Boltzmann model with dynamic grid refinement is proposed for
immiscible ternary flows, which is capable of conserving the total mass and preserving the …