Simulation of compressible flows became a routine activity with the appearance of shock-
/contact-capturing methods. These methods can determine all waves, particularly …

The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

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 …

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 …

In this paper, we investigate the high-speed dynamics of symmetric and asymmetric
cavitation bubble-collapse. For this purpose, a sharp-interface numerical model is …

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 …

In this article, we propose a novel conservative diffuse-interface method for the simulation of
immiscible compressible two-phase flows. The proposed method discretely conserves the …

We describe a novel interface-sharpening approach for efficient numerical resolution of a
compressible homogeneous two-phase flow governed by a quasi-conservative five …

Underwater explosions present many challenges for numerical modeling. The density ratio
between explosion gases and the surrounding liquid are typically O (10 3), and the pressure …

Numerical simulation of bubble dynamics and cavitation is challenging; even the seemingly
simple problem of a collapsing spherical bubble is difficult to compute accurately with a …