Comparison of numerical solution and semi-empirical formulas to predict the effects of important design parameters on porpoising region of a planing vessel

Stability of the marine vessels in different conditions is one of the most important problems in the design of a planing vessel. In this research, the effects of some important design parameters (mass, longitudinal center of mass, deadrise angle, and length) of DTMB 62 model 4667-1 planing hull on the drag and also on the longitudinal dynamic stability (porpoising) are investigated in the velocity range of 2.12-8.486 m/s in calm water. In this paper, both numerical simulation of Reynolds Average Naiver Stokes (RANS) equations and semi-empirical formulas of Savitsky are used to analyze the motion of a 4667 planing vessel in calm water with two degrees of freedom (2DOF). For this purpose a finite volume, ANSYS-FLUENT, code is used to solve the Navier-Stokes equations for the simulation of the flow field around the vessel. In addition, an explicit VOF scheme and SST- Kω model is used with dynamic mesh scheme to capture the interface of a two-phase flow and to model the turbulence respectively, in 2DOF model (heave and pitch). Also, the results of both methods are compared with each other. According to the present results, changing the aspect ratio of the vessel and also the longitudinal center of gravity have the most effect on the porpoising region.