Fluid–structure interaction (FSI) problems commonly encountered in engineering and
biological applications involve geometrically complex flexible or rigid bodies undergoing …

In this article recent advances in the Marker and Cell (MAC) method will be reviewed. The
MAC technique dates back to the early 1960s at the Los Alamos Laboratories and this article …

Interface problems arise in many applications. For example, when there are two different
materials, such as water and oil, or the same material but at different states, such as water …

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 present a conservative interface method for both multi-fluid and complex
boundary problems, in which the standard finite volume scheme on Cartesian grids is …

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 …

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 …

A novel framework for resolving discontinuous solutions of conservation laws, eg, contact
lines, shock waves, and interfaces, using implicit tracking and a high-order discontinuous …

The interaction of a shockwave with a gas bubble in a liquid medium is of interest in a variety
of areas, eg shockwave lithotripsy, cavitation damage and the study of sonoluminescence …

The shock waves and high-speed jets induced by the violent collapse of bubbles can cause
serious damage to nearby structures. To fully understand the shock wave and jet …