Computer implemented method for prediction of performances of a compressor includes modelling a CFD gas path, modelling vanes and blades as non-adiabatic solids, building a model of the rotor including at least a first rotor solid domain facing a plurality of vanes non-adiabatic solids and at least a second plurality of rotor solid domains attached to a plurality of blades non-adiabatic solids, building a model of the stator including at least a first casing solid domain attached to a plurality of vanes non-adiabatic solids and at least a second casing solid domain facing a plurality of blades non-adiabatic solids, modelling one or more solid rotor interfaces, each solid rotor interface providing an heat exchange link between a respective pair of adjacent rotor solid domains, and modelling one or more solid stator interfaces, each solid rotor interface providing an heat exchange link between a respective pair of adjacent stator solid domains.