We present a review of the constrained interpolation profile (CIP) method that is known as a
general numerical solver for solid, liquid, gas, and plasmas. This method is a kind of semi …

Two semi-Lagrangian schemes that guarantee exactly mass conservation are proposed.
Although they are in a nonconservative form, the interpolation functions are constructed …

A 3D numerical model for computing large rigid objects suspended in fluid flow has been
developed. Rather than calculating the surface pressure upon the solid body, we evaluate …

The dynamic interactions between gas bubbles, rigid particles and liquid can lead to
profound nonlinearities in the aggregate behavior of a multiphase fluid. Predicting the …

This study proposes analyzing tsunami generation and propagation of tsunamis, wave
runup onto land, object drift, collision with other structures, deformation prediction of …

In multiphase flow analyses, rheological behavior has a significant influence on not only the
heat and mass transfer but also the dynamics of the solid and fluid during melting and …

This paper presents an arbitrary Lagrangian–Eulerian (ALE) finite element method for fluid-
structure interaction (FSI) problems with a free-surface using the mesh re-generation …

Sloshing of liquid–solid particle mixtures is an important issue in industrial settings and
research fields. In numerical simulations, difficulties are encountered in capturing or tracking …

Relocation and freezing of molten core materials mixed with solid phases are among the
important thermal-hydraulic phenomena in core disruptive accidents of a liquid-metal-cooled …

We propose a numerical method for dealing with a moving solid body that interacts with a
complex liquid surface. The method is based on the level set method, the CIP method, and …