The results of a workshop concerning the numericalsimulation of the liquid flow around a hydrofoil in non-cavitating andcavitating conditions are presented. This workshop was part of theconference “Mathematical and Numerical aspects of Low Mach NumberFlows” (2004) and was aimed to investigate the capabilities ofdifferent compressible flow solvers for the low Mach number regime and forflows in which incompressible and supersonic regions aresimultaneously present. Different physical models of cavitatingphenomena are also compared. The numerical results are validatedagainst experimental data.