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A mathematical study of a two-layer fluid flow system in the presence of a floating breakwater in front of VLFS

Applied Mathematical Modelling 2023年第1期122卷 706-730页

作者： Barman, Koushik Kanti Chanda, Ayan Tsai, Chia-Cheng Center of Excellence for Ocean Engineering National Taiwan Ocean Unviersity Keelung Taiwan Department of Ocean Engineering and Naval Architecture Indian Institute of Technology Kharagpur West Bengal India Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung Taiwan

The present study deals with the usefulness of a surface-piercing porous structure of definite width in a two-layer fluid placed at a finite distance from a floating elastic plate to mitigate the hydrodynamic response of the elastic plate. We use linear water wave theory with the eigenfunction expansion approach to develop analytical solutions to the model problem in finite water depth. Here, we identify and explore the complete parameter space associated with the problem by examining the hydrodynamic coefficients for waves in surface and internal modes, plate elevation, shear force, bending moment, wave loads on the elastic plate, flow amplitude in the plate-covered region and wave attenuation. We investigate the effectiveness of structures of various configurations and geometries on wave scattering. This study demonstrates an oscillatory pattern of wave reflection in the confined region between the plate and the breakwater. Moreover, optima in the oscillatory pattern can be observed due to the resonating interaction of waves and the breakwater-plate system. Furthermore, the research shows that an ideal width and distance between the breakwater and floating plate can be calculated while assuming an appropriate configuration of the porous structure to create a breakwater-plate system with a reasonable efficiency that possesses both reflection and dissipation properties. The design of various types of coastal structures employed in the marine environment for the reflection and dissipation of wave energy at continental shelves dominated by stratified fluid, described here as a two-layer fluid, will significantly benefit from the findings of the current study. © 2023 Elsevier Inc.

关键词： Eigenvalues and eigenfunctions

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An Empirical Study on Wave Attenuation by a Dry Type of Vegetative Floating Island 34th

An Empirical Study on Wave Attenuation by a Dry Type of Vege...

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34th International ocean and Polar engineering Conference, ISOPE 2024

作者： Lan, Yuan-Jyh She, Chia-Hsuan Jui, Xiang-Lei Fan, Cheuk Yin Pai, Jen-Yen Department of Harbor and River Engineering National Taiwan Ocean University Keelung Taiwan Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung Taiwan

ISBN: (纸本)9781880653784

This empirical study presents a wave attenuation model for a stationary dry type of artificial box-shaped vegetated floating island based on dimensional analysis. The dimensionless coefficients for wave reflection, transmission and wave energy dissipation can be predicted by the multiplications of several non-dimensional terms containing parameters related to the matrix medium of vegetated floating island and wave characteristics, without vegetation drag coefficient and friction factor. The empirical model was validated with experimental cases and demonstrated good correlations. Moreover, the influence of the material properties of the matrix medium composition on wave attenuation is discussed based on the validated model. © 2024 by the International Society of Offshore and Polar Engineers (ISOPE).

关键词： Energy dissipation

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Degenerate kernels of polyharmonic and poly-Helmholtz operators in polar and spherical coordinates

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engineering Analysis with Boundary Elements 2023年第1期148卷 137-152页

作者： Tsai, Chia-Cheng Hematiyan, M.R. Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung202301 Taiwan Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung202301 Taiwan Department of Mechanical Engineering Shiraz University Shiraz71936 Iran

This paper presents the degenerate kernels for the polyharmonic and poly-Helmholtz partial differential operators in the polar and spherical coordinates. These degenerate kernels are essential if the analytical/semi-analytical solutions and the mathematical degeneracies involving these operators are conducted by the boundary integral equations. In addition, a two-dimensional creeping flow problem is considered to illustrate the use of the degenerate kernels for problems governed by coupled partial differential equations. The coupled governing equations of the creeping flow problems are converted into a biharmonic equation by using the Hörmander linear partial differential operator theory and the Cartesian partial derivatives on the harmonic and biharmonic degenerate kernels are used to obtain the degenerate kernels of two-dimensional creeping flow problems for BIE analyses. Finally, numerical experiments are conducted to study the convergence of the polyharmonic and poly-Helmholtz degenerate kernels. © 2022 Elsevier Ltd

关键词： Boundary integral equations

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Wave energy extraction by an OWC device in the presence of a porous bottom

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Energy Reports 2024年 11卷 5602-5618页

作者： Naik, Nikita Kushwaha, Aman Kumar Behera, Harekrushna Tsai, Chia-Cheng Department of Mathematics SRM Institute of Science and Technology Kattankulathur Chennai603203 India Department of Mathematics Indian Institute of Technology Indore Indore453552 India Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung202301 Taiwan Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung202301 Taiwan

The present study explores the effects of a porous bed on an oscillating water column (OWC) device under the assumptions of the linearized water wave theory and small-amplitude of the surface waves. The velocity potentials in each region have been determined by using the far-field and boundary conditions. To tackle the physical problem, two different mathematical techniques have been employed: the boundary element method (BEM) and the matched eigenfunction expansion method (EEM). The findings of the study are validated by the existing literature. The outcomes of the numerical results and analytical results are in good agreement. It is noted that as the width of the chamber increases, there is an increase in radiation conductance and a decrease in radiation susceptance. The zero efficiencies are observed multiple times as the width of the OWC device increases with respect to the dimensionless wavenumber. Moreover, the study reveals that full efficiency can be obtained by an OWC device over a porous bed for certain wave and structural parameters as obtained in the presence of an impermeable bottom. The proposed model can help to design and develop a successful OWC device. © 2024

关键词： Boundary element method

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Safe towing operation and navigation for towed barge improved by active AIS with solar energy

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Journal of Marine Science and technology (Japan) 2023年第4期28卷 746-757页

作者： Wang, Hui-Chiao Wu, Chien-Hsing Chang, Horng-Yi Bachelor Degree Program in Ocean Tourism Management National Taiwan Ocean University Keelung202301 Taiwan Department of Marine Engineering National Taiwan Ocean University Keelung202301 Taiwan

An Automatic Identification System (AIS) was installed on a barge. The AIS is active using solar panels with charge controller and battery to supply electric power at day time and night time. Such a novel actively AIS can offer the Speed over Ground (SOG), Course over Ground (COG), and position to tugboat for informing the Master and Officer about the sailing conditions of barge to maintain the towline tension stably and safety of navigation. The AIS also broadcasts the sailing status of barge to other ships in vicinity to maintain situational awareness of collision avoidance. Using this reliable theoretical calculation about the limit tension value of towing line with yawing motion can avoid the limit value of towline tension less than total maximum displacement of tugboat and barge. Those results contribute practical significance for improving the safety of towing operation and navigation at real time. © 2023, The Author(s), under exclusive licence to The Japan Society of Naval Architects and ocean Engineers (JASNAOE).

关键词： Collision avoidance

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Flexural-gravity wave interaction with undulating bottom topography in the presence of uniform current: An asymptotic approach

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Applied Mathematical Modelling 2024年 133卷 41-64页

作者： Barman, Koushik Kanti Chanda, Ayan Tsai, Chia-Cheng Mondal, Sandipan Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung Taiwan Department of Mathematics Birla Institute of Technology Mesra Jharkhand India Department of Ocean Engineering and Naval Architecture Indian Institute of Technology West Bengal Kharagpur India Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung Taiwan Department of Environmental Biology and Fishery Science National Taiwan Ocean University Keelung Taiwan

Using an asymptotic method, this article deals with flexural-gravity wave scattering with undulating bottom topography, including the effect of uniform currents. The interest in this problem lies in developing second-order solutions using the Fourier transform, which minimises the error gap between first and second-order solutions. The present method allows the physical processes involved in the sea-bed topography, uniform current, plate-covered surface, and wave interaction to be studied. Specifically, we observe Bragg resonance between the flexural-gravity waves and the bottom ripples, which are associated with the reflection of incident wave energy. We examine the effects of wave current and emphasise how crucial the asymptotic expansion method is to the emergence of the current response. We demonstrate that bottom topography dominates the effects of Bragg resonance for depth Froude numbers valued at 0.8 or less. Further, most reflected wave components have their frequencies shifted by the current, and wave action conservation causes reflected wave energy to be enhanced for following currents. Using the Joint North Sea Wave Observation Project spectrum and the discrete Fourier transform, the theory derived in the frequency domain is shown in the time domain to analyse wave propagation through the whole system. © 2024

关键词： Time domain analysis

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Hindcast of oil spill pollution in the East China Sea in January 2018

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Proceedings of the Institution of Mechanical Engineers Part M: Journal of engineering for the Maritime Environment 2024年第1期238卷 90-101页

作者： Nguyen, Thi-Hong-Hanh Hou, Tien-Hung Pham, Hai-An Tsai, Chia-Cheng Department of Civil Engineering Vietnam Maritime University Hai Phong Viet Nam General Education Center Tainan University of Technology Tainan Taiwan Department of Harbor and River Engineering National Taiwan Ocean University Keelung Taiwan Institute of Marine Environment and Resources Vietnam Academy of Science and Technology Ha Noi Viet Nam Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung Taiwan Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung Taiwan

In this study, an integrated model is developed for studying the Sanchi oil spill event, which occurred in the East China Sea in January 2018. The results of the Advanced Research Weather Research and Forecasting model (WRF-ARW) as well as the Princeton ocean Model (POM) are used for meteorological forecasting and the hydrodynamic simulations, respectively. These data are adopted as inputs for the OpenOil, a sub-module of OpenDrift, for the oil spill model. Some reference experiments are examined for short-term hindcast. The satellite image is used to validate the numerical result. The oil slicks of the satellite image and the numerical result are of similar shapes. Quantitatively, the simulated oil slick and that from the satellite image are located closely and have similar dimensions of 56 km by 34 km and 54 km by 29 km, respectively. It is found that the accurate results can be obtained by the proposed integrated model with the high-frequency (hourly) and high-spatial-resolution data as inputs, and the wind drift factor has to be added. The long-term 1-month simulation showed that most of the oil particles would move to the northeast of the sinking location and be trapped by the Kuroshio current. © IMechE 2023.

关键词： Oil spills

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Analysis of water wave interaction with multiple submerged semi-circular porous structures

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Archive of Applied Mechanics 2023年第7期93卷 2693-2709页

作者： Tsai, Chia-Cheng Behera, Harekrushna Hsu, Tai-Wen Center of Excellence for Ocean Engineering National Taiwan Ocean University Keelung202301 Taiwan Department of Mathematics SRM Institute of Science and Technology Kattankulathur Tamil Nadu 603203 India Bachelor Degree Program in Ocean Engineering and Technology National Taiwan Ocean University Keelung202301 Taiwan Department of Harbor and River Engineering National Taiwan Ocean University Keelung202301 Taiwan

The impact of an array of bottom-mounted semi-circular breakwaters on wave scattering and trapping is investigated. Under the assumption of linear water wave theory, a computational solution is developed using the methods of eigenfunction expansion and multi-domain boundary element. In order to understand how different structural and wave characteristics affect wave flow, the reflection, transmission and dissipation factors are evaluated and investigated. The study reveals that the Bragg reflection happens when a series of porous semi-circular breakwaters scatter waves. In addition, the presence of four structures causes nearly 80 % of the wave energy to dissipate. As the number of semi-circular breakwaters rises, the hydrodynamic forces acting on the impermeable sea wall greatly reduce. The study concludes that the number of structures, radius and porous-effect parameters of the structures plays a vital role in wave reflection, reducing the hydrodynamic load on the impenetrable sea wall. © 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

关键词： Boundary element method

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A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions

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Advances in Applied Mathematics and Mechanics 2022年第3期14卷 577-595页

作者： Jen-Yi Chang Ru-Yun Chen Chia-Cheng Tsai Tainan University of Technology Tainan 71002Taiwan China Department of Harbor and River Engineering Taiwan Ocean UniversityKeelung 202301Taiwan China Bachelor Degree Program in Ocean Engineering and Technology Taiwan Ocean UniversityKeelung 202301Taiwan China Center of Excellence for Ocean Engineering Taiwan Ocean UniversityKeelung 202301Taiwan China

In this study,the polynomial expansion method(PEM)and the polynomial method of particular solutions(PMPS)are applied to solve a class of linear elliptic partial differential equations(PDEs)in two dimensions with constant coefﬁ*** the solution procedure,the sought solution is approximated by the Pascal polynomials and their particular solutions for the PEM and PMPS,*** multiple-scale technique is applied to improve the conditioning of the resulted linear equations and the accuracy of numerical results for both of the PEM and *** mathematical statements are provided to demonstrate the equivalence of the PEM and PMPS bases as they are both bases of a certain polynomial vector ***,some numerical experiments were conducted to validate the implementation of the PEM and *** results demonstrated that the PEM is more accurate and well-conditioned than the PMPS and the multiple-scale technique is essential in these polynomial methods.

关键词： Pascal polynomial polynomial expansion method polynomial method of particular solutions collocation method multiple-scale technique

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Comments on a Key Agreement Scheme for the V2G System 14th

Comments on a Key Agreement Scheme for the V2G System

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14th International Conference on Frontier Computing, FC 2024

作者： Chang, Ya-Fen Chang, Wen-Ting Tai, Wei-Liang Department of Computer Science and Information Engineering National Taichung University of Science and Technology Taichung Taiwan Bachelor Degree Program of Artificial Intelligence National Taichung University of Science and Technology Taichung Taiwan

ISBN: (纸本)9789819623945

Vehicle-to-grid (V2G) technology supporting bidirectional power transfer allows electric vehicles (EVs) to contribute and consume energy bidirectionally. Because the specific properties and requirements of V2G, Khan et al. proposed a key agreement scheme for the V2G system to ensure the security of communication between a vehicle user and the grid server. However, after analyzing Khan et al.’s scheme, we find that it suffers from some flaws such that it cannot ensure anonymity, resist impersonation attack, man-in-the-middle attack and denial-of-service attack, and work as expected. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.

关键词： Anonymity

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