Galaxy clusters are sources of gravitational radiation. The main aim of thi
s paper is to give numerical estimates and theoretical description of the r
elevant features of the gravitational radiation coming from an appropriate
spatial distributions of galaxy clusters. Since no analytical approaches ar
e currently available to describe the strongly nonlinear regime, our numeri
cal approach - combining numerical simulations with statistical arguments -
seems to be an useful way of studying the main features of that radiation.
Although far to be detectable with present technology, we advance some ide
as about future observational strategies and its cosmological implications.