Mathematical Modeling of Moored Ship Motion in Arbitrary Harbor utilizing the Porous Breakwater

The motion of the moored ship in the harbor is a classical hydrodynamics problem that still faces many challenges in naval operations,such as cargo transfer and ship pairings between a big transport ship and some small ships.A mathematical model is presented based on the Laplace equation utilizing the porous breakwater to investigate the moored ship motion in a partially absorbing/reflecting harbor.The motion of the moored ship is described with the hydrodynamic forces along the rotational motion(roll,pitch,and yaw)and translational motion(surge,sway,and heave).The efficiency of the numerical method is verified by comparing it with the analytical study of Yu and Chwang(1994)for the porous breakwater,and the moored ship motion is compared with the theoretical and experimental data obtained by Yoo(1998)and Takagi et al.(1993).Further,the current numerical scheme is implemented on the realistic Visakhapatnam Fishing port,India,in order to analyze the hydrodynamic forces on moored ship motion under resonance conditions.The model incorporates some essential strategies such as adding a porous breakwater and utilizing the wave absorber to reduce the port’s resonance.It has been observed that these tactics have a significant impact on the resonance inside the port for safe maritime navigation.Therefore,the current numerical model provides an efficient tool to reduce the resonance within the arbitrarily shaped ports for secure anchoring.

Boundary Element Modeling of Multiconnected Ocean Basin in Visakhapatnam Port Under the Resonance Conditions

A mathematical model has been developed to analyze the influence of extreme water waves over multiconnected regions in Visakhapatnam Port,India by considering an average water depth in each multiconnected regions.In addition,partial reflection of incident waves on coastal boundary is also considered.The domain of interest is divided mainly into two regions,i.e.,open sea region and harbor region namely as Region-I and Region-II,respectively.Further,Region-II is divided into multiple connected regions.The 2-D boundary element method(BEM)including the Chebyshev point discretization is utilized to solve the Helmholtz equation in each region separately to determine the wave amplification.The numerical convergence is performed to obtain the optimum numerical accuracy and the validation of the current numerical approach is also conducted by comparing the simulation results with existing studies.The four key spots based on the moored ship locations in Visakhapatnam Port are identified to perform the numerical simulation.The wave amplification at these locations is estimated for monochromatic incident waves,considering approximate water depth and different reflection coefficients on the wall of port under the resonance conditions.In addition,wave field analysis inside the Visakhapatnam Port is also conducted to understand resonance conditions.The current numerical model provides an efficient tool to analyze the amplification on any realistic ports or harbors.