The long-time evolution of monopolar and dipolar vortices influenced b
y the large-scale gradient of the ambient potential vorticity (the bet
a-effect) is studied by direct numerical solutions of the equivalent b
arotropic quasi-geostrophic equation. Translation and reorganization o
f vortical structures are shown to depend strongly on their intensity.
Transport of trapped fluid by vortical structures is illustrated by c
alculating particle trajectories and by considering closed isolines of
potential vorticity and the streamfunction in a co-moving reference f
rame. The initial behaviour of strong monopoles is found to be well de
scribed by a recent approximate theory for the evolution of azimuthal
mode one, even for times longer than the linear Rossby wave period. In
the long-time limit, strong monopoles transport particles mainly west
ward, although the meridional displacement is several times larger tha
n the initial vortex size. The appearance of an annulus with opposite
radial gradient of the potential vorticity around the vortex core is d
emonstrated. This annulus forms owing to the meridional vortex drift o
n the beta-plane and results in reorganization of a strong monopolar v
ortex into a rotating tripole. A critical value of the vortex intensit
y is found, below which the tripolar structure does not appear even in
the case of an initially shielded vortex. Weak monopolar vortices are
able to trap particles and provide some west-meridional fluid transpo
rt, even in the case when they decay like a linear Rossby wave packet.
The evolution of initial f-plane dipoles on the beta-plane is strongl
y dependent on the initial direction of propagation. Strong dipoles ad
just to steadily propagating modon solutions either accelerating (west
ward case), decelerating (eastward case) or oscillating with a decayin
g amplitude (meridional case), thereby carrying trapped particles pred
ominantly eastward. A steady state is not reached if the dipole intens
ity is below a critical value which depends on the initial direction o
f propagation. Weak dipoles either decay and shrink owing to Rossby wa
ve radiation (westward case), gradually separate and split (eastward c
ase), or disintegrate (meridional case) without long-distance fluid tr
ansport. Thus, on the beta-plane monopoles provide mainly westward tra
nsport of trapped fluid, whereas dipoles provide mainly eastward trans
port. Only strong monopoles are found to provide significant meridiona
l fluid transport.