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Mathematical Modeling of Moored Ship Motion in Arbitrary Harbor utilizing the porous breakwater

China Ocean Engineering 2023年第5期37卷 738-752页

作者： Prachi Priya Prashant Kumar Gulshan Rajni Government Model Sanskriti Senior Secondary School Ganaur Sonipat 131101India Department of Applied Sciences(Mathematics) National Institute of TechnologyDelhi 110036India JindalGobal Business School O.P.Jindal Global UniversitySonepat 131001India

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.

关键词： boundary element method Laplace equation porous breakwater partially reflecting/absorbing harbor wall moored ship motion

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Hydrodynamic Performance of A porous-Type Land-Fixed Oscillating Water Column Wave Energy Converter

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China Ocean Engineering 2022年第1期36卷 1-14页

作者： Robert MAYON NING De-zhi ZHANG Chong-wei Lars JOHANNING State Key Laboratory of Coastal and Offshore Engineering Dalian University of TechnologyDalian 116024China College of Engineering Mathematics and Physical SciencesUniversity of ExeterPenryn CampusPenrynCornwallTR109FEUK

A hybrid, porous breakwater-Oscillating Water Column(OWC) Wave Energy Converter(WEC) system is put forward and its hydrodynamic performance is investigated using the fully nonlinear, open-source computational fluid dynamics(CFD) model, OpenFOAM. The permeable structure is positioned at the weather side of the OWC device and adjoined to its front wall. A numerical modelling approach is employed in which the interstices within the porous structure are explicitly defined. This permits the flow field development within the porous structure and at the OWC front wall to be observed. The WEC device is defined as a land-fixed, semi-submerged OWC chamber. A range of regular incident waves are generated at the inlet within the numerical tank. The OWC efficiency and the forces on the structure are examined. Results are compared for the simulation cases in which the porous component is present or absent in front of the OWC chamber. It is found that the incorporation of the porous component has minimal effect on the hydrodynamic efficiency of the OWC, reducing the efficiency by less than 5%. Nevertheless,the forces on the front wall of the OWC can be reduced by up to 20% at the higher wave steepness investigated,through inclusion of the porous structure at the OWC front wall. These findings have considerable implications for the design of hybrid OWC-breakwater systems, most importantly in terms of enhancing the durability and survivability of OWC WECs without significant loss of operational efficiency.

关键词： OWC porous breakwater hydrodynamic performance wave loads CFD

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Wave Damping and Refraction-Diffraction Due to Variable Depth porous Bottom

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Tsinghua Science and Technology 2004年第2期9卷 138-147页

作者：朱书堂 Institute of Nuclear Energy Technology Tsinghua UniversityBeijing 100084China

The refraction-diffraction of surface waves due to porous variable depth has been the subject of many investigations. In the present study, we extend the boundary-value problem of impermeable varying topography to that of a variable depth porous seabed, which is the situation most likely to be encountered in practical prob-lems of coastal engineering. A wave-induced fluid motion is applied to the porous bottom, while the well-known linear potential theory is applied to the free-water above the bottom. Eigenfunction expansions are employed to derive the matching condition and the so-called modified dispersion relation. As a result of the porous bottom, the wavenumber becomes a complex value, of which the real part represents the spatial periodicity while the imagi-nary part refers to the energy dissipation. The characteristics of water waves over a porous bottom are studied in detail. By neglecting the non-propagating modes which only have a local effect and damp exponentially with dis-tance, we derive a mathematical model to represent the characteristics of both the wave refraction-diffraction and wave-damping. The developed model is applied to the damping problem of waves over submerged porous breakwaters.

关键词： porous breakwater potential theory wave-damping wave refraction-diffraction

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Direct Numerical Simulation of Interaction Between Wave and porousbreakwater Based on N-S Equation

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China Ocean Engineering 2012年第4期26卷 565-574页

作者：王登婷 Nanjing Hydraulic Research Institute

In this paper, a numerical model is established. A modified N-S equation is used as a control equation for the wave field and porous flow area. The control equations are discreted and solved by the finite difference method. The free surface is tracked by the VOF method. The pressure field and velocity field of the whole flow area are solved by the reiterative iteration method. Finally, compared with the physical model test results of wave flume, the numerical model established in the present study is validated.

关键词： wave porous breakwater N-S equation numerical simulation

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