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We present a numerical simulation of the so-called condensation shock on a NACA0015 hydrofoil with a finite mass transfer model for the first time. Most recently, condensation shock was indentified in the experimental measurement as a mechanism for partial cavity shedding in the flow past a hydrofoil. Compressible solvers, which were adopted in the previous simulations to study such phenomenon numerically, are extremely time consuming due to the limitation of acoustic Courant number. In this work, we consider a finite mass transfer model for cavitation flow with slightly modification. Our numerical results show that the finite mass transfer model can be successfully applied for calculating the condensation shock in the flow past a hydrofoil. The dynamics of the condensation shock on the hydrofoil is also discussed. The model is proved to be useful for further understanding of the underlying phyiscs of such flow.