Computer simulation developed hand-in-hand with the rapid growth of the computer, following its first large-scale deployment during the Manhattan Project in World War II to model the process of nuclear detonation (nuclear weapon) - wikipedia
Computer simulation is often used as an adjunct to, or substitute for, modeling systems for which simple closed form analytic solutions (closed-form solution) are not possible.
There are many types of computer simulations; their common feature is the attempt to generate a sample of representative scenarios for a model in which a complete enumeration of all possible states of the model would be prohibitive or impossible.
# Examples
Daisy World is loosely modelled on James Lovelock's Daisyworld, but based in Minecraft where we can make use of the extensive environmental infrastructure of Biomes, Plants and Animals.
http://open.live.bbc.co.uk/mediaselector/5/redir/version/2.0/mediaset/audio-nondrm-download/proto/http/vpid/p02q597f.mp3#t=00:08:00 Dark Matter, In Our Time - BBC Radio 4 describing one of the earliest computer simulations in cosmology.