The majority of liquid crystals are based on elongated molecules that
form so-called calamitic phases. In the late 1970s liquid crystals bas
ed on flat disc-shaped molecules were first synthesized. These molecul
ar systems are known as discotics, and most exhibit two kinds of struc
ture: nematic and columnar. An understanding of the molecular structur
e and interaction potentials of these molecules allows us to gain insi
ght into the alignment of discotic materials. We review here the use o
f hard and soft potentials to undertake molecular dynamics and Monte C
arlo simulations of discotics, with particular reference to the phases
obtained from these models. We also discuss the possibility of using
realistic models for specific liquid crystal systems.