Analysis on the hydrodynamic resonance of fixed rectangular boxes with narrow gaps by a constrained interpolation profile method

The research on interactions between water waves and floating structures with narrow gaps plays an important role in revealing the mechanism of hydrodynamic resonance in very large offshore floating structures (VLFS). In this study, free surface oscillations in two narrow gaps between three identical fixed rectangular boxes are investigated by establishing a 2D viscous flow numerical wave tank based on a Constrained Interpolation Profile (CIP) method. Tangent of Hyperbola for INterface Capturing (THINC) method is employed to capture the free surface. The rigid floating bodies are treated by Virtual Particle Method (VPM). The incident waves are generated by an internal wave maker. The computaional results of wave height in narrow gaps are found in good coincidence with the available experimental measurements, especially for the resonant frequencies. At the fundamental frequencies, the resonant wave heights both in Gap 1 and Gap 2 are more than four times that of incident wave height, while at the second resonant frequencies they are about three times that of incident wave height.