Numerical approximation of the five-equation two-phase flow of Kapila et al.[AK Kapila, R.
Menikoff, JB Bdzil, SF Son, DS Stewart, Two-phase modeling of deflagration-to-detonation …

We develop a shock-and interface-capturing numerical method that is suitable for the
simulation of multicomponent flows governed by the compressible Navier–Stokes equations …

A front-tracking/ghost-fluid method is introduced for simulations of fluid interfaces in
compressible flows. The new method captures fluid interfaces using explicit front-tracking …

A novel finite-volume interface (contact) capturing method is presented for simulation of multi-
component compressible flows with high density ratios and strong shocks. In addition, the …

We introduce a new multiscale finite element method which is able to accurately capture
solutions of elliptic interface problems with high contrast coefficients by using only coarse …

We present in this work a new reconstruction scheme, so-called MUSCL-THINC-BVD
scheme, to solve the five-equation model for interfacial two phase flows. This scheme …

A new, simple, and computationally efficient interface capturing scheme based on a diffuse
interface approach is presented for simulation of compressible multiphase flows. Multi-fluid …

In the previous ghost fluid methods (GFMs) developed, the focus is on the definition of ghost
fluid states while the pressure and velocity in the real fluid sides are taken for granted …

The ghost fluid method for the poor (GFMP) is an elegant, computationally efficient, and
nearly conservative method for the solution of two-phase flow problems. It was developed in …

The ghost fluid method (GFM) provides a simple way to simulate the interaction of
immiscible materials. Especially, the modified GFM (MGFM) and its variants, based on the …