Two-phase flows are encountered in a wide range of industrial and natu
ral situations. Due to their complexity such flows have been investiga
ted only analytically and experimentally. New computing facilities pro
vide the flexibility to construct computational models that are easily
adapted to a wide variety of physical conditions without constructing
a large-scale phototype or expensive rest rigs. But there is an inher
ent uncertainty in the numerical predictions due to stability, converg
ence and accuracy. The importance of a well-placed mesh is highlighted
in the modelling of two-phase flows in horizontal pipelines.