Mathematical modelling of wave overtopping at vertical structures
Considering the threats of wave overtopping that can cause flooding in the coastal area and hence implying various damages to the inland properties, this paper provides a simplified mathematical modelling of wave overtopping calculation at vertical seawall as proposed by Cooker. Taking the assumptio...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IOP Publishing
2019
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/27887/1/Mathematical%20modelling%20of%20wave%20overtopping%20at%20vertical%20structures.pdf |
| _version_ | 1796993977045483520 |
|---|---|
| author | Fadhlyya Arawaney, Abdul Ghani Mohd Shahridwan, Ramli Nor Aida Zuraimi, Md Noar Abdul Rahman, Mohd Kasim |
| author_facet | Fadhlyya Arawaney, Abdul Ghani Mohd Shahridwan, Ramli Nor Aida Zuraimi, Md Noar Abdul Rahman, Mohd Kasim |
| author_sort | Fadhlyya Arawaney, Abdul Ghani |
| collection | UMP |
| description | Considering the threats of wave overtopping that can cause flooding in the coastal area and hence implying various damages to the inland properties, this paper provides a simplified mathematical modelling of wave overtopping calculation at vertical seawall as proposed by Cooker. Taking the assumption that the water jet particles projected against the seawall move as free projectiles, a simple estimation is made from the computation of the water displacement which can pass over top of the wall of finite height by applying the trapezoidal rule to the equations derived from both energy conservation and the pressure impulse, P previously proposed by Cooker. The results indicate that the overtopping volume per wave is exponentially decaying with the height of the wall above the still water level and is in good agreement to previous researcher and is used to estimate the overtopping discharge for berm and ditch structures. Both cases are comparable for corresponding freeboard values which concluded that the water jet onto the seawall with berm structure will reach higher in the air compared to that of with ditch. |
| first_indexed | 2024-03-06T12:41:14Z |
| format | Conference or Workshop Item |
| id | UMPir27887 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:41:14Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | UMPir278872021-01-18T06:49:00Z http://umpir.ump.edu.my/id/eprint/27887/ Mathematical modelling of wave overtopping at vertical structures Fadhlyya Arawaney, Abdul Ghani Mohd Shahridwan, Ramli Nor Aida Zuraimi, Md Noar Abdul Rahman, Mohd Kasim QA Mathematics Considering the threats of wave overtopping that can cause flooding in the coastal area and hence implying various damages to the inland properties, this paper provides a simplified mathematical modelling of wave overtopping calculation at vertical seawall as proposed by Cooker. Taking the assumption that the water jet particles projected against the seawall move as free projectiles, a simple estimation is made from the computation of the water displacement which can pass over top of the wall of finite height by applying the trapezoidal rule to the equations derived from both energy conservation and the pressure impulse, P previously proposed by Cooker. The results indicate that the overtopping volume per wave is exponentially decaying with the height of the wall above the still water level and is in good agreement to previous researcher and is used to estimate the overtopping discharge for berm and ditch structures. Both cases are comparable for corresponding freeboard values which concluded that the water jet onto the seawall with berm structure will reach higher in the air compared to that of with ditch. IOP Publishing 2019-11-07 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/27887/1/Mathematical%20modelling%20of%20wave%20overtopping%20at%20vertical%20structures.pdf Fadhlyya Arawaney, Abdul Ghani and Mohd Shahridwan, Ramli and Nor Aida Zuraimi, Md Noar and Abdul Rahman, Mohd Kasim (2019) Mathematical modelling of wave overtopping at vertical structures. In: Journal of Physics: Conference Series, 2nd International Conference on Applied and Industrial Mathematics and Statistics (ICoAIMS 2019) , 23 - 25 July 2019 , The Zenith Hotel, Kuantan, Pahang. pp. 1-7., 1366 (012046). ISSN 1742-6588 (print); 1742-6596 (online) https://doi.org/10.1088/1742-6596/1366/1/012046 |
| spellingShingle | QA Mathematics Fadhlyya Arawaney, Abdul Ghani Mohd Shahridwan, Ramli Nor Aida Zuraimi, Md Noar Abdul Rahman, Mohd Kasim Mathematical modelling of wave overtopping at vertical structures |
| title | Mathematical modelling of wave overtopping at vertical structures |
| title_full | Mathematical modelling of wave overtopping at vertical structures |
| title_fullStr | Mathematical modelling of wave overtopping at vertical structures |
| title_full_unstemmed | Mathematical modelling of wave overtopping at vertical structures |
| title_short | Mathematical modelling of wave overtopping at vertical structures |
| title_sort | mathematical modelling of wave overtopping at vertical structures |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/27887/1/Mathematical%20modelling%20of%20wave%20overtopping%20at%20vertical%20structures.pdf |
| work_keys_str_mv | AT fadhlyyaarawaneyabdulghani mathematicalmodellingofwaveovertoppingatverticalstructures AT mohdshahridwanramli mathematicalmodellingofwaveovertoppingatverticalstructures AT noraidazuraimimdnoar mathematicalmodellingofwaveovertoppingatverticalstructures AT abdulrahmanmohdkasim mathematicalmodellingofwaveovertoppingatverticalstructures |