An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-Sections
The problem of ice loads acting on multiple vertical cylinders of circular cross-sections frozen in an ice cover of infinite extent is studied. The loads are caused by a flexural-gravity wave propagating in the ice cover towards the rigid bottom-mounted cylinders. This is a three-dimensional lineari...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-05-01
|
| Series: | Journal of Marine Science and Engineering |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2077-1312/10/6/723 |
| _version_ | 1797485779902005248 |
|---|---|
| author | Nazile B. Disibuyuk Oguz Yilmaz Alexander Korobkin Tatyana Khabakhpasheva |
| author_facet | Nazile B. Disibuyuk Oguz Yilmaz Alexander Korobkin Tatyana Khabakhpasheva |
| author_sort | Nazile B. Disibuyuk |
| collection | DOAJ |
| description | The problem of ice loads acting on multiple vertical cylinders of circular cross-sections frozen in an ice cover of infinite extent is studied. The loads are caused by a flexural-gravity wave propagating in the ice cover towards the rigid bottom-mounted cylinders. This is a three-dimensional linearized problem of hydroelasticity with finite water depth. The flow under the ice is potential and incompressible. The problem is solved by the vertical mode method combined with an iterative method. The velocity potential is written with respect to each cylinder and is expanded into the Fourier series. The algorithm of the problem solving is reduced to calculations of the Fourier coefficients of the velocity potential. Numerical results for the forces acting on four circular cylinders are presented for different ice thicknesses, incident wave angles and cylinder spacing. The obtained wave forces are compared with the results by others. Good agreement is reported. |
| first_indexed | 2024-03-09T23:23:42Z |
| format | Article |
| id | doaj.art-b9b9638468ae4dec924ed2a76f10f7b0 |
| institution | Directory Open Access Journal |
| issn | 2077-1312 |
| language | English |
| last_indexed | 2024-03-09T23:23:42Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Journal of Marine Science and Engineering |
| spelling | doaj.art-b9b9638468ae4dec924ed2a76f10f7b02023-11-23T17:21:51ZengMDPI AGJournal of Marine Science and Engineering2077-13122022-05-0110672310.3390/jmse10060723An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-SectionsNazile B. Disibuyuk0Oguz Yilmaz1Alexander Korobkin2Tatyana Khabakhpasheva3Department of Mathematics, Dokuz Eylul University, Izmir 35390, TurkeyDepartment of Mathematics, Izmir Institute of Technology, Izmir 35430, TurkeySchool of Mathematics, University of East Anglia, Norwich NR4 7TJ, UKLavrentyev Institute of Hydrodynamics SB RAS, 630090 Novosibirsk, RussiaThe problem of ice loads acting on multiple vertical cylinders of circular cross-sections frozen in an ice cover of infinite extent is studied. The loads are caused by a flexural-gravity wave propagating in the ice cover towards the rigid bottom-mounted cylinders. This is a three-dimensional linearized problem of hydroelasticity with finite water depth. The flow under the ice is potential and incompressible. The problem is solved by the vertical mode method combined with an iterative method. The velocity potential is written with respect to each cylinder and is expanded into the Fourier series. The algorithm of the problem solving is reduced to calculations of the Fourier coefficients of the velocity potential. Numerical results for the forces acting on four circular cylinders are presented for different ice thicknesses, incident wave angles and cylinder spacing. The obtained wave forces are compared with the results by others. Good agreement is reported.https://www.mdpi.com/2077-1312/10/6/723hydro-elastic wavesice-structure interactionmultiple circular cylinders |
| spellingShingle | Nazile B. Disibuyuk Oguz Yilmaz Alexander Korobkin Tatyana Khabakhpasheva An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-Sections Journal of Marine Science and Engineering hydro-elastic waves ice-structure interaction multiple circular cylinders |
| title | An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-Sections |
| title_full | An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-Sections |
| title_fullStr | An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-Sections |
| title_full_unstemmed | An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-Sections |
| title_short | An Iterative Method for Interaction of Hydro-Elastic Waves with Several Vertical Cylinders of Circular Cross-Sections |
| title_sort | iterative method for interaction of hydro elastic waves with several vertical cylinders of circular cross sections |
| topic | hydro-elastic waves ice-structure interaction multiple circular cylinders |
| url | https://www.mdpi.com/2077-1312/10/6/723 |
| work_keys_str_mv | AT nazilebdisibuyuk aniterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections AT oguzyilmaz aniterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections AT alexanderkorobkin aniterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections AT tatyanakhabakhpasheva aniterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections AT nazilebdisibuyuk iterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections AT oguzyilmaz iterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections AT alexanderkorobkin iterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections AT tatyanakhabakhpasheva iterativemethodforinteractionofhydroelasticwaveswithseveralverticalcylindersofcircularcrosssections |