Numerical (2D) simulations of persistent contrails have been performed
. The simulations begin in the vortex phase (i.e., when the aircraft w
ake dynamics are dominated by the pair of downward travelling vortices
) and pursue the evolution for half an hour. Particular emphasis was l
aid on the mechanisms by which contrails expand to reach the large lat
eral dimensions often observed and on the ice production in these arti
ficial clouds. Cross-sectional spreading rates are found to range from
120 to 290 m(2) s(-1). The expansion is mainly caused by the secondar
y and higher-order vortices that develop from the reaction of the atmo
sphere with the downward travelling pair of primary vortices that are
themselves produced by the aircraft. An additional driving force for c
ontrail expansion is the gravitational collapse that results from diff
erences between the potential temperature profiles inside and outside
the contrails. Humidity and temperature of the ambient air control the
growth of the ice particles and, therefore, all those properties that
depend on crystal size and the overall ice production rate. Radiative
cooling and release of latent heat affect expansion rate or turbulenc
e intensity only weakly, at least in the first 30 min.