Mathematical modelling of wave impacts on seaward-inclined seawall
In this study, the numerical investigation of a mathematical model of wave impacts on an inclined seawall is considered, using an extension of Cooker’s model for vertical seawalls due to Greenhow, who considered a perturbation model to study the effect of small wall inclinations from the vertical. C...
| Main Authors: | , , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IOP Publishing
2017
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/20087/1/ICoAIMS%20IOP%20Shah.pdf |
| _version_ | 1825811888608378880 |
|---|---|
| author | Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin |
| author_facet | Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin |
| author_sort | Mohd Shahridwan, Ramli |
| collection | UMP |
| description | In this study, the numerical investigation of a mathematical model of wave impacts on an inclined seawall is considered, using an extension of Cooker’s model for vertical seawalls due to Greenhow, who considered a perturbation model to study the effect of small wall inclinations from the vertical. Cooker used pressure impulse theory to simplify the highly time-dependent and very nonlinear boundary-value problem (bvp) by considering the time integral of the pressure during the duration of the impact pressure-impulse. The solution to this bvp is found by solving Laplace’s Equation for simplified boundary conditions. The perturbation theory gives a series of bvps which are solved analytically by MATLAB. The relation between the pressure impulse and the inclination angle of a wall is investigated. We find that as the seaward or landward inclination of the seawall increases, the pressure impulse increases. |
| first_indexed | 2024-03-06T12:21:02Z |
| format | Conference or Workshop Item |
| id | UMPir20087 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:21:02Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | UMPir200872018-03-22T03:47:21Z http://umpir.ump.edu.my/id/eprint/20087/ Mathematical modelling of wave impacts on seaward-inclined seawall Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin QA Mathematics In this study, the numerical investigation of a mathematical model of wave impacts on an inclined seawall is considered, using an extension of Cooker’s model for vertical seawalls due to Greenhow, who considered a perturbation model to study the effect of small wall inclinations from the vertical. Cooker used pressure impulse theory to simplify the highly time-dependent and very nonlinear boundary-value problem (bvp) by considering the time integral of the pressure during the duration of the impact pressure-impulse. The solution to this bvp is found by solving Laplace’s Equation for simplified boundary conditions. The perturbation theory gives a series of bvps which are solved analytically by MATLAB. The relation between the pressure impulse and the inclination angle of a wall is investigated. We find that as the seaward or landward inclination of the seawall increases, the pressure impulse increases. IOP Publishing 2017 Conference or Workshop Item PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/20087/1/ICoAIMS%20IOP%20Shah.pdf Mohd Shahridwan, Ramli and Fadhlyya Arawaney, Abdul Ghani and Nor Aida Zuraimi, Md Noar and Mohd Zuki, Salleh and Greenhow, Martin (2017) Mathematical modelling of wave impacts on seaward-inclined seawall. In: Journal of Physics: Conference Series, 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017) , 8-10 August 2017 , Kuantan, Pahang, Malaysia. pp. 1-9., 890 (012008 ). ISSN 1742-6588 (print); 1742-6596 (online) (Published) https://doi.org/10.1088/1742-6596/890/1/012008 doi: 10.1088/1742-6596/890/1/012008 |
| spellingShingle | QA Mathematics Mohd Shahridwan, Ramli Fadhlyya Arawaney, Abdul Ghani Nor Aida Zuraimi, Md Noar Mohd Zuki, Salleh Greenhow, Martin Mathematical modelling of wave impacts on seaward-inclined seawall |
| title | Mathematical modelling of wave impacts on seaward-inclined seawall |
| title_full | Mathematical modelling of wave impacts on seaward-inclined seawall |
| title_fullStr | Mathematical modelling of wave impacts on seaward-inclined seawall |
| title_full_unstemmed | Mathematical modelling of wave impacts on seaward-inclined seawall |
| title_short | Mathematical modelling of wave impacts on seaward-inclined seawall |
| title_sort | mathematical modelling of wave impacts on seaward inclined seawall |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/20087/1/ICoAIMS%20IOP%20Shah.pdf |
| work_keys_str_mv | AT mohdshahridwanramli mathematicalmodellingofwaveimpactsonseawardinclinedseawall AT fadhlyyaarawaneyabdulghani mathematicalmodellingofwaveimpactsonseawardinclinedseawall AT noraidazuraimimdnoar mathematicalmodellingofwaveimpactsonseawardinclinedseawall AT mohdzukisalleh mathematicalmodellingofwaveimpactsonseawardinclinedseawall AT greenhowmartin mathematicalmodellingofwaveimpactsonseawardinclinedseawall |