We investigate the performance of two-dimensional cellular automata si
mulations on two parallel computers of the message-passing type, namel
y a small Transputer system and one SUPRENUM-cluster. The timing resul
ts can be fitted with a simple modelling function with parameters dire
ctly connected to properties of the algorithm and the computer system.
They exhibit scaling behaviour and it can be shown that the resulting
scaling function is universal in the sense that it is valid for a wid
e range of algorithms.