Film cooling of a symmetrical turbine-blade model by lateral and non-lateral injection from one row of holes placed on each side near the leading edge is calculated with a 3D ®nite-volume method on multi-block grids. For various blowing rates, the ¯ow and temperature ®elds are predicted, and in particular the contours of ®lm-cooling eectiveness on the blade surface, which are compared with measurements. Various versions of the k±e turbulence model are employed: the standard model with wall functions (WF), a two-layer version resolving the viscous sublayer with a one-equation model and an anisotropy correction due to Bergeles et al. [Num. Heat Transfer 1 (1978) 217±242] which acts to promote the lateral turbulent exchange. The original Bergeles proposal is modi®ed for application in the viscous sublayer. With the standard model, the lateral spreading of the temperature ®eld is underpredicted, leading to averaged ®lm-cooling eectiveness values that are too low. The situation is improved by using the Bergeles correction, especially when the modi®ed correction is applied with the two-layer model (TLK). This yields eectiveness contours in reasonably good agreement with the measurements, but the laterally averaged eectiveness is not predicted in all cases with good accurary. However, the trend of the various in¯uence parameters is reproduced correctly.