A survey of the developments in the field of Computational Fluid Dynamics (CFD) is presented, the results of which are used to identify numerical methods capable of solving the equation sets that define the various categories of fluid flow and heat transfer that apply to air movement within buildings. The background to turbulence modelling is discussed together with the treatment of nearwall regions to which turbulence models are inapplicable. A further survey into the application of CFD methods to air movement within buildings is presented together with an appraisal of the success of these studies in terms of realistic modelling. From this survey it is concluded that there is a need to integrate surface radiation heat transfer methods within CFD procedures in order to provide a fully coupled model.