Numerical simulation of solitary wave–catamaran breakwater interaction using MFCT model

Abstract

In this paper, a modified flux-corrected transport method (MFCT) was developed to simulate the interaction of solitary waves with catamaran breakwater. The fluid assumed to be viscous and incompressible. The explicit version of the two-stage projection method was used to solve the time-dependent Navier–Stokes equations. For the validation of the different aspects of the model, numerical test cases were performed. Solitary waves were generated using internal wave maker. The generated waves were compared with experimental data. This comparison showed a reasonable accuracy and ability of this model for solitary wave simulation. The efficiency of a fixed double hull (catamaran) floating breakwater under surface solitary waves was considered, focusing on the effects of the immersed hull on the wave transmission and reflection characteristics. The results show that the critical point for normalized draft of catamaran breakwater is 0.4. For values less than this point, the transmission coefficient increases dramatically. For example, as this normalized draft doubles, the transmission coefficient decreases more than quintuple. Furthermore, as the normalized demi-hull spacing triplicates the transmission coefficient decreases to less than half.