eprintid: 10194668 rev_number: 8 eprint_status: archive userid: 699 dir: disk0/10/19/46/68 datestamp: 2024-07-17 15:09:20 lastmod: 2024-07-17 15:09:20 status_changed: 2024-07-17 15:09:20 type: article metadata_visibility: show sword_depositor: 699 creators_name: Wang, CZ creators_name: Ren, JM creators_name: Yang, YF creators_name: Ge, H title: Nonlinear wave resonance by four bottom-mounted cylinders in a uniform current using a higher order finite element method ispublished: pub divisions: UCL divisions: B04 divisions: F45 keywords: Wave resonance, Nonlinear wave-current-body interaction, Multiple cylinders, Potential flow theory, Higher order finite element method note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. abstract: The fully nonlinear wave potential theory is employed to analyze interactions of water waves and a group or an array of vertical cylinders in a uniform current in three-dimensions (3D). The nonlinear free surface boundary conditions are satisfied on the transient position. The velocity potential at each time step are solved through a higher order finite element method (HOFEM) with hexahedral 20-node parametric elements and the velocity on the free surface are obtained by differentiating the shape functions directly. The radiation condition is imposed through a damping zone method. Wave resonance for four bottom mounted cylinders at near-trapping modes is simulated with considering current effect. Waves and hydrodynamic forces are obtained to show their resonant behaviors at different current speeds and different incident wave amplitudes. Comparisons are also made with those by previous study and the time-domain second order solutions and agreement and disagreement are discussed between them. date: 2024-09 date_type: published publisher: Elsevier BV official_url: http://dx.doi.org/10.1016/j.apor.2024.104125 full_text_type: other language: eng verified: verified_manual elements_id: 2297394 doi: 10.1016/j.apor.2024.104125 lyricists_name: Yang, Yifeng lyricists_id: YYANJ08 actors_name: Yang, Yifeng actors_id: YYANJ08 actors_role: owner full_text_status: restricted publication: Applied Ocean Research volume: 150 article_number: 104125 citation: Wang, CZ; Ren, JM; Yang, YF; Ge, H; (2024) Nonlinear wave resonance by four bottom-mounted cylinders in a uniform current using a higher order finite element method. Applied Ocean Research , 150 , Article 104125. 10.1016/j.apor.2024.104125 <https://doi.org/10.1016/j.apor.2024.104125>. document_url: https://discovery.ucl.ac.uk/id/eprint/10194668/1/revised%20manuscript_2.pdf