This article deals with Navier–Stokes simulations of multiphase flows around moving bodies coupled with an adaptive mesh refinement strategy. The numerical framework is considered first: the Navier–Stokes solver, the methodologies for handling multiphase flows and moving bodies, the remeshing techniques, and the adaptive procedure are explained and detailed. Then an application involving hydrodynamic impacts is presented in detail and studied to highlight the relevance of the whole global approach. Of particular interest is the accurate computation of pressure peaks arising during impacts.