The CFD modeling of two dimensional multiphase
ows is a useful tool in industry,
although accurate modeling itself remains a dicult task. One of the diculties is
to track the complicated topological deformations of the interfaces between dierent
phases. This paper describes a marker-particle method designed to track
ows of at least three phases. The interface-tracking scheme presented
in this paper is the rst part of a series of papers presenting our complete model
based on a one-eld Godunov marker-particle projection scheme (GMPPS). In this
part, we shall focus on the presentation of the interface-tracking scheme and the
kinematic tests we conducted to examine the scheme's ability to accurately track
interfacial movements typied by vorticity-induced stretching and tearing of the interface.
Our test results show that for a set of carefully-designed and commonly-used
error measures, relative percentage errors never exceed two percent for all of the
tests and grid sizes considered, provided a sucient number of marker particles are
used. We shall also demonstrate that the method is of second order accuracy and
the interface transition width remains constant never exceeding three cell widths.