Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation
In this paper, a simple evolution formulation, based on polar coordinate, is proposed to efficiently and accurately simulate the dynamic movement of sandy shoreline in a crenulate-shaped bay. The consistent actions by seasonal waves and swell usually result in severe erosion or deposition along sand...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/14/21/3504 |
| _version_ | 1797466232902909952 |
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| author | Hung-Cheng Tao Tai-Wen Hsu Chia-Ming Fan |
| author_facet | Hung-Cheng Tao Tai-Wen Hsu Chia-Ming Fan |
| author_sort | Hung-Cheng Tao |
| collection | DOAJ |
| description | In this paper, a simple evolution formulation, based on polar coordinate, is proposed to efficiently and accurately simulate the dynamic movement of sandy shoreline in a crenulate-shaped bay. The consistent actions by seasonal waves and swell usually result in severe erosion or deposition along sandy shoreline, so some mathematical formulations and numerical models, based on the concept of headland control, have been recently proposed to forecast and protect the shoreline planform. A simple and general formulation is derived in this study by considering the balance of longshore sediment transport, since the accurate prediction of dynamic movements of high planform-curvature shoreline in the shadow zone behind a headland is essential and critical to the headland control. The proposed formulation can be directly adopted to accurately and simply simulate the temporal variations of shoreline in both of the hooked zone, where is protected by a headland, and the unhooked zone, where is straight attacked by incident waves. Numerical results and comparisons of temporal variation of shoreline between two headlands are provided in this paper to demonstrate the accuracy and efficiency of the proposed evolution formulation. Besides, different time increments and different numbers of control volume are adopted to examine the merits of the proposed numerical model. |
| first_indexed | 2024-03-09T18:32:53Z |
| format | Article |
| id | doaj.art-1cf53925ec0e4c51af21bec11ff7841d |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-09T18:32:53Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-1cf53925ec0e4c51af21bec11ff7841d2023-11-24T07:20:36ZengMDPI AGWater2073-44412022-11-011421350410.3390/w14213504Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution FormulationHung-Cheng Tao0Tai-Wen Hsu1Chia-Ming Fan2Doctoral Degree Program in Ocean Engineering and Technology, Nation Taiwan Ocean University, Keelung 20224, TaiwanDoctoral Degree Program in Ocean Engineering and Technology, Nation Taiwan Ocean University, Keelung 20224, TaiwanCentre of Excellence for Ocean Engineering, Nation Taiwan Ocean University, Keelung 20224, TaiwanIn this paper, a simple evolution formulation, based on polar coordinate, is proposed to efficiently and accurately simulate the dynamic movement of sandy shoreline in a crenulate-shaped bay. The consistent actions by seasonal waves and swell usually result in severe erosion or deposition along sandy shoreline, so some mathematical formulations and numerical models, based on the concept of headland control, have been recently proposed to forecast and protect the shoreline planform. A simple and general formulation is derived in this study by considering the balance of longshore sediment transport, since the accurate prediction of dynamic movements of high planform-curvature shoreline in the shadow zone behind a headland is essential and critical to the headland control. The proposed formulation can be directly adopted to accurately and simply simulate the temporal variations of shoreline in both of the hooked zone, where is protected by a headland, and the unhooked zone, where is straight attacked by incident waves. Numerical results and comparisons of temporal variation of shoreline between two headlands are provided in this paper to demonstrate the accuracy and efficiency of the proposed evolution formulation. Besides, different time increments and different numbers of control volume are adopted to examine the merits of the proposed numerical model.https://www.mdpi.com/2073-4441/14/21/3504evolution formulationpolar coordinatecrenulate-shaped bayheadland controldynamic shoreline planform |
| spellingShingle | Hung-Cheng Tao Tai-Wen Hsu Chia-Ming Fan Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation Water evolution formulation polar coordinate crenulate-shaped bay headland control dynamic shoreline planform |
| title | Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation |
| title_full | Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation |
| title_fullStr | Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation |
| title_full_unstemmed | Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation |
| title_short | Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation |
| title_sort | developments of dynamic shoreline planform of crenulate shaped bay by a novel evolution formulation |
| topic | evolution formulation polar coordinate crenulate-shaped bay headland control dynamic shoreline planform |
| url | https://www.mdpi.com/2073-4441/14/21/3504 |
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