This paper is dedicated to the simulation of two-phase flows on the basis of an homogeneous model that allows to account for the disequilibrium of the pressure, temperature and chemical potential (mass transfer). The numerical simulations are performed using a fractional step method treat-ing separately the convective part of the model and the source terms. On the basis of analytical solutions for the convective part of the model, nu-merical investigations are performed to compare different finite volume schemes. Eventually, a test case of the heating of a mixture of steam and water is presented.