The behaviour of the fast ion population is one of the crucial issues of the GDT based neutron generator project proposed by the Budker Institute Novosibirsk. Therefore, the study of the fast ion dynamics is one of the main research objectives at the GDT facility. This research is supported by computational investigations by means of codes that have been specially developed. The present paper briefly describes the fast ion code, demonstrates the capabilities of a fast ion and neutral gas code package and draws computational and physical conclusions from calculations of recent experiments.