H.Momiji, S.R.Bishop, R.Carretero-Gonz{\'a}lez and A.Warren Modelling desert dune fields based on discrete dynamics (136K, Postscript (no figures)) ABSTRACT. Two mathematical models to simulate desert dune fields based on discrete dynamics are proposed. Both models are developed by simplifying two mechanisms; sand transport induced by wind and gravitational shaping. Despite complex wind flow over desert dune fields some recurrent, spatial features occur. These models comprise our understanding of the effect of various mechanisms and succeeded in vividly demonstrating some important aspects of dune field. For model validation, comparison between simulated results and nature is necessary on different length scales.