An implementation of the smoothed particle hydrodynamics (SPH) method is presented to solve dynamic coupling between waves and a free-floating rectangular box. A 2D numerical wave tank (NWT) is established in this paper. Governing equations of weakly compressible smoothed particle hydrodynamics (WCSPH) are modified by CSPM and approximately Riemann solver. Boundaries of the NWT and the floating box are built with dynamic boundary particles (DBPs) described by Dalrymple. An active absorbing wavemaker is arranged at the upstream boundary of the NWT and an artificial damping layer is set on the other side. A comparison between SPH result and boundary element method (BEM) solution of wave forces on a fixed rectangular box is conducted to validate the numerical model. The interaction between waves and a floating box is simulated using the present model, and wave forces on the floating box and its motion responses under wave action are analysed.

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