Abstract: Mobility models, synthetic or trace, try to accurately model the
movement of a single user or a group of users. Models can be used in simulators
and emulators to investigate the consequences of mobility on new protocols or
network management techniques. A limitation with current trace mobility models
is they are based on empirical data which are limited to specific network types
and environments. Limitations with synthetic models are that they are complex,
computationally heavy, and lack realism. To address these issue a new approach
needs to be taken. One such approach is the use of fluid mechanics and
transport theory to represent user mobility. A model based on viscous free
irrotational fluid mechanics with empirical data from pedestrian and vehicular
studies provide a means of creating realistic group movement characteristics
with smooth non random trajectories and smooth continuous velocity. The model
is used in an example to provide boundary crossing rates for users in a
cellular network and optimising the size of cellular location areas.