  We use a combination of analytic tools and an extensive set of the largest
and most accurate three-dimensional field theory numerical simulations to study
the dynamics of domain wall networks with junctions. We build upon our previous
work and consider a class of models which, in the limit of large number $N$ of
coupled scalar fields, approaches the so-called `ideal' model (in terms of its
potential to lead to network frustration). We consider values of $N$ between
N=2 and N=20, and a range of cosmological epochs, and we also compare this
class of models with other toy models used in the past. In all cases we find
compelling evidence for a gradual approach to scaling, strongly supporting our
no-frustration conjecture. We also discuss the various possible types of
junctions (including cases where there is a hierarchy of them) and their roles
in the dynamics of the network. Finally, we revise the Zel'dovich bound and
provide an updated cosmological bound on the energy scale of this type of
defect network: it must be lower than $10 {\rm keV}$.
