We describe a simple relaxation scheme for the efficient numerical resolution of compressible two-phase barotropic flow with and without cavitation on moving meshes. The algorithm uses a curvilinear-coordinate formulation of the relaxation model proposed by Saurel et al. (J. Comput. Phys. 228 (2009) 1678-1712) as the basis, and employs a wave-propagation based relaxed scheme to solve the model system on a mapped grid that is constructed by a conventional mesh-redistribution procedure for better solution adaptation. Sample numerical results in both one and two space dimensions are present that show the feasibility of the proposed method for practical problems.
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