TY - JOUR
T1 - An iterative method for interaction of hydro-elastic waves with several vertical cylinders of circular cross-sections
AU - Disibuyuk, Nazile B.
AU - Yilmaz, Oguz
AU - Korobkin, Alexander
AU - Khabakhpasheva, Tatyana
N1 - Funding Information: This research was funded by joint project TUBITAK (Scientific and Technological Research Council of Turkey)-RFBR (Russian Foundation for Basic Research) “Loads on engineering structures in sea ice” with project no: 119N361 (TUBITAK), 20-58-46009 (RFBR).
PY - 2022/5/25
Y1 - 2022/5/25
N2 - 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.
AB - 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.
KW - hydro-elastic waves
KW - ice-structure interaction
KW - multiple circular cylinders
UR - http://www.scopus.com/inward/record.url?scp=85131549613&partnerID=8YFLogxK
U2 - 10.3390/jmse10060723
DO - 10.3390/jmse10060723
M3 - Article
AN - SCOPUS:85131549613
VL - 10
JO - Journal of Marine Science and Engineering
JF - Journal of Marine Science and Engineering
SN - 2077-1312
IS - 6
M1 - 723
ER -