Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls
This paper considers steep wave impact on seawalls of various geometries. A simple analytical model for the pressure impulse due to a wave of idealized geometry and dynamics is developed and applied to the following geometries: (a) vertical seawall with a berm, (b) vertical seawall with a ditch at...
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Elsevier
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ump-127072018-01-22T08:16:48Z http://umpir.ump.edu.my/id/eprint/12707/ Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls Nor Aida Zuraimi, Md Noar Greenhow, Martin QA Mathematics This paper considers steep wave impact on seawalls of various geometries. A simple analytical model for the pressure impulse due to a wave of idealized geometry and dynamics is developed and applied to the following geometries: (a) vertical seawall with a berm, (b) vertical seawall with a ditch at its base and (c)vertical seawall with a block missing (damaged condition). The method uses eigenfunction expansions in each of the rectangular regions that satisfy some of therigid surface conditions and a simplified free-surface condition. Their unknown coefficients are determined from the impact boundary condition, rigid wall conditions and by matching the values and thehorizontal derivatives of the solutions in each rectangular region at their mutual boundary. The method yields the pressure impulse throughout the entire region. The overall impulse and moment impulse on the seawall and a simple model for the uprush of the spray jet after the impact are also presented. The effects of different impact regions and different geometries can therefore be quickly estimated and usedto show trends in the results. It is shown that berms generally have a beneficial effect on reducing theimpulse, moment impulse and uprush, but not the maximum pressure impulse on the seawall, whereas ditches are generally and sometimes strongly detrimental for all effects except uprush. A missing block in the seawall gives an almost constant or linearly decreasing value inside the gap (depending on the boundary condition applied at the rear of the gap being hard or soft respectively); the soft case can affect the pressure impulse on the front face of the seawall, thereby affecting the impulse and moment impulse. Elsevier 2015 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/12707/1/Wave%20impacts%20on%20structures%20with%20rectangular%20geometries-%20Part%201.%20Seawalls.pdf Nor Aida Zuraimi, Md Noar and Greenhow, Martin (2015) Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls. Applied Ocean Research, 53. pp. 132-141. ISSN 0141-1187 http://dx.doi.org/10.1016/j.apor.2015.09.002 DOI: 10.1016/j.apor.2015.09.002 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Malaysia Pahang |
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UMP Institutional Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Nor Aida Zuraimi, Md Noar Greenhow, Martin Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls |
| description |
This paper considers steep wave impact on seawalls of various geometries. A simple analytical model for the
pressure impulse due to a wave of idealized geometry and dynamics is developed and applied to the following geometries: (a) vertical seawall with a berm, (b) vertical seawall with a ditch at its base and (c)vertical seawall with a block missing (damaged condition).
The method uses eigenfunction expansions in each of the rectangular regions that satisfy some of therigid surface conditions and a simplified free-surface condition. Their unknown coefficients are determined from the impact boundary condition, rigid wall conditions and by matching the values and thehorizontal derivatives of the solutions in each rectangular region at their mutual boundary. The
method yields the pressure impulse throughout the entire region. The overall impulse and moment impulse on the seawall and a simple model for the uprush of the spray jet after the impact are also presented. The effects of different impact regions and different geometries can therefore be quickly estimated and usedto show trends in
the results. It is shown that berms generally have a beneficial effect on reducing theimpulse, moment impulse and
uprush, but not the maximum pressure impulse on the seawall, whereas ditches are generally and sometimes strongly detrimental for all effects except uprush. A missing block in the seawall gives an almost constant or
linearly decreasing value inside the gap (depending on the
boundary condition applied at the rear of the gap being hard or soft respectively); the soft case can affect the pressure impulse on the front face of the seawall, thereby affecting the impulse and moment impulse. |
| format |
Article |
| author |
Nor Aida Zuraimi, Md Noar Greenhow, Martin |
| author_facet |
Nor Aida Zuraimi, Md Noar Greenhow, Martin |
| author_sort |
Nor Aida Zuraimi, Md Noar |
| title |
Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls |
| title_short |
Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls |
| title_full |
Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls |
| title_fullStr |
Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls |
| title_full_unstemmed |
Wave Impacts on Structures with Rectangular Geometries: Part 1. Seawalls |
| title_sort |
wave impacts on structures with rectangular geometries: part 1. seawalls |
| publisher |
Elsevier |
| publishDate |
2015 |
| url |
http://umpir.ump.edu.my/id/eprint/12707/ http://umpir.ump.edu.my/id/eprint/12707/ http://umpir.ump.edu.my/id/eprint/12707/ http://umpir.ump.edu.my/id/eprint/12707/1/Wave%20impacts%20on%20structures%20with%20rectangular%20geometries-%20Part%201.%20Seawalls.pdf |
| first_indexed |
2023-09-18T22:14:34Z |
| last_indexed |
2023-09-18T22:14:34Z |
| _version_ |
1777415251211321344 |