Nonlinear diffraction of water waves by offshore stuctures
This paper is concerned with a variational formulation of a nonaxisymmetric water wave problem. The full set of equations of motion for the problem in cylindrical polar coordinates is derived. This is followed by a review of the current knowledge on analytical theories and numerical treatments of no...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1986-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000807 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553532470853632 |
|---|---|
| author | Matiur Rahman Lokenath Debnath |
| author_facet | Matiur Rahman Lokenath Debnath |
| author_sort | Matiur Rahman |
| collection | DOAJ |
| description | This paper is concerned with a variational formulation of a nonaxisymmetric water wave problem. The full set of equations of motion for the problem in cylindrical polar coordinates is derived. This is followed by a review of the current knowledge on analytical theories and numerical treatments of nonlinear diffraction of water waves by offshore cylindrical structures. A brief discussion is made on water waves incident on a circular harbor with a narrow gap. Special emphasis is given to the resonance phenomenon associated with this problem. A new theoretical analysis is also presented to estimate the wave forces on large conical structures. Second-order (nonlinear) effects are included in the calculation of the wave forces on the conical structures. A list of important references is also given. |
| format | Article |
| id | doaj-art-3972a69d9ebe4c66a2a49e68d0f51705 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3972a69d9ebe4c66a2a49e68d0f517052025-02-03T05:53:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019462565210.1155/S0161171286000807Nonlinear diffraction of water waves by offshore stucturesMatiur Rahman0Lokenath Debnath1Department of Applied Mathematics, Technical University of Nova Scotia, Halifax, Nova Scotia B3J 2X4, CanadaDepartment of Mathematics, University of Central Florida, Orlando, Florida 32816-6990, USAThis paper is concerned with a variational formulation of a nonaxisymmetric water wave problem. The full set of equations of motion for the problem in cylindrical polar coordinates is derived. This is followed by a review of the current knowledge on analytical theories and numerical treatments of nonlinear diffraction of water waves by offshore cylindrical structures. A brief discussion is made on water waves incident on a circular harbor with a narrow gap. Special emphasis is given to the resonance phenomenon associated with this problem. A new theoretical analysis is also presented to estimate the wave forces on large conical structures. Second-order (nonlinear) effects are included in the calculation of the wave forces on the conical structures. A list of important references is also given.http://dx.doi.org/10.1155/S0161171286000807variational principle for non-axisymmetric water wavesnonlinear diffraction of water wavesincident and reflected waveswave forceswaves incident on harborsand Helmholtz resonance. |
| spellingShingle | Matiur Rahman Lokenath Debnath Nonlinear diffraction of water waves by offshore stuctures International Journal of Mathematics and Mathematical Sciences variational principle for non-axisymmetric water waves nonlinear diffraction of water waves incident and reflected waves wave forces waves incident on harbors and Helmholtz resonance. |
| title | Nonlinear diffraction of water waves by offshore stuctures |
| title_full | Nonlinear diffraction of water waves by offshore stuctures |
| title_fullStr | Nonlinear diffraction of water waves by offshore stuctures |
| title_full_unstemmed | Nonlinear diffraction of water waves by offshore stuctures |
| title_short | Nonlinear diffraction of water waves by offshore stuctures |
| title_sort | nonlinear diffraction of water waves by offshore stuctures |
| topic | variational principle for non-axisymmetric water waves nonlinear diffraction of water waves incident and reflected waves wave forces waves incident on harbors and Helmholtz resonance. |
| url | http://dx.doi.org/10.1155/S0161171286000807 |
| work_keys_str_mv | AT matiurrahman nonlineardiffractionofwaterwavesbyoffshorestuctures AT lokenathdebnath nonlineardiffractionofwaterwavesbyoffshorestuctures |