A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq Equations
This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/306535 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546223343534080 |
|---|---|
| author | Mohammad Hadi Jabbari Parviz Ghadimi Mesbah Sayehbani Arsham Reisinezhad |
| author_facet | Mohammad Hadi Jabbari Parviz Ghadimi Mesbah Sayehbani Arsham Reisinezhad |
| author_sort | Mohammad Hadi Jabbari |
| collection | DOAJ |
| description | This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are considered. In these test cases, dispersive and nonlinearity effects of the periodic waves over sloping beaches and barred beaches, which are the common coastal profiles, are investigated. Outputs are compared with other existing numerical and experimental data. Finally, it is concluded that the current model can be further developed to model any morphological development of coastal profiles. |
| format | Article |
| id | doaj-art-d25263a4665741088e45579858e89f92 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d25263a4665741088e45579858e89f922025-02-03T07:23:35ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/306535306535A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq EquationsMohammad Hadi Jabbari0Parviz Ghadimi1Mesbah Sayehbani2Arsham Reisinezhad3Department of Marine Technology, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, IranDepartment of Marine Technology, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, IranDepartment of Marine Technology, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, IranDepartment of Marine Technology, Amirkabir University of Technology, P.O. Box 15875-4413, Tehran, IranThis paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear finite element method in spatial discretization, an auxiliary variable is hereby introduced, and a particular numerical scheme is offered to rewrite the equations in lower-order form. Stability of the suggested numerical method is also analyzed. Subsequently, in order to display the ability of the presented model, four different test cases are considered. In these test cases, dispersive and nonlinearity effects of the periodic waves over sloping beaches and barred beaches, which are the common coastal profiles, are investigated. Outputs are compared with other existing numerical and experimental data. Finally, it is concluded that the current model can be further developed to model any morphological development of coastal profiles.http://dx.doi.org/10.1155/2013/306535 |
| spellingShingle | Mohammad Hadi Jabbari Parviz Ghadimi Mesbah Sayehbani Arsham Reisinezhad A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq Equations The Scientific World Journal |
| title | A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq Equations |
| title_full | A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq Equations |
| title_fullStr | A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq Equations |
| title_full_unstemmed | A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq Equations |
| title_short | A Unique Finite Element Modeling of the Periodic Wave Transformation over Sloping and Barred Beaches by Beji and Nadaoka's Extended Boussinesq Equations |
| title_sort | unique finite element modeling of the periodic wave transformation over sloping and barred beaches by beji and nadaoka s extended boussinesq equations |
| url | http://dx.doi.org/10.1155/2013/306535 |
| work_keys_str_mv | AT mohammadhadijabbari auniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations AT parvizghadimi auniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations AT mesbahsayehbani auniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations AT arshamreisinezhad auniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations AT mohammadhadijabbari uniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations AT parvizghadimi uniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations AT mesbahsayehbani uniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations AT arshamreisinezhad uniquefiniteelementmodelingoftheperiodicwavetransformationoverslopingandbarredbeachesbybejiandnadaokasextendedboussinesqequations |