Journal article
Transformed-FNV: wave forces on a vertical cylinder - a free-surface formulation
- Abstract:
- Existing force models for a vertical surface-piercing cylinder require water depth integration from the seabed to the free surface to determine the total inline force. However, acquiring the full wave kinematics profiles beneath the water surface presents a significant computational task. We revisit the finite water depth version of the well-known FNV theory (Kristiansen & Faltinsen, 2017, Journal of Fluid Mechanics, 833, 773–805) and propose a transformed version that expresses the total force solely in terms of the fully nonlinear wave properties at the free surface. This novel Transformed-FNV (T-FNV) formulation treats the Morison inertia term exactly and approximates the remaining two convective-derivative type terms with an assumption of slowly varying kinetic energy type terms. We evaluate the accuracy of this transformation against the original formulation, using wave kinematics obtained from fully nonlinear numerical simulations. Two T-FNV formulations are proposed with different input properties required. The first formulation uses the fully nonlinear wave kinematic properties at the free surface, whereas a fully approximated T-FNV formulation requires only the nonlinear freesurface elevation time history measured or calculated at the position of the column but in its absence. Both T-FNV formulations demonstrate good accuracy for wave forces for both deep and shallow-water cases against the original FNV model. The new T-FNV formulations also show the increased role of higher harmonics in the predicted force time histories when compared to those in the free-surface displacement, and the importance of using accurate higher order harmonic wave profiles in nonlinear force calculations.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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-
(Preview, Accepted manuscript, pdf, 1.9MB, Terms of use)
-
- Publisher copy:
- 10.1016/j.coastaleng.2024.104454
Authors
+ Australian Research Council
More from this funder
- Funder identifier:
- https://ror.org/05mmh0f86
- Funding agency for:
- Tang, T
- Grant:
- IH200100009
- Programme:
- TIDE Project
+ Schmidt Family Foundation
More from this funder
- Funder identifier:
- https://ror.org/014bj2y47
- Funding agency for:
- Tang, T
- Programme:
- Eric and Wendy Schmidt AI in Science Postdoctoral Fellowship
+ The University of Western Australia
More from this funder
- Funder identifier:
- https://ror.org/047272k79
- Funding agency for:
- Tang, T
- Programme:
- Robert and Maude Gledden Short Stay Visiting Fellowship
- Publisher:
- Elsevier
- Journal:
- Coastal Engineering More from this journal
- Volume:
- 189
- Article number:
- 104454
- Publication date:
- 2024-01-19
- Acceptance date:
- 2024-01-05
- DOI:
- EISSN:
-
1872-7379
- ISSN:
-
0378-3839
- Language:
-
English
- Keywords:
- Pubs id:
-
1595416
- Local pid:
-
pubs:1595416
- Deposit date:
-
2024-01-06
- ARK identifier:
Terms of use
- Copyright holder:
- Taylor et al.
- Copyright date:
- 2024
- Rights statement:
- © The Author(s) 2024 Published by Elsevier B.V.
- Notes:
- This research was funded in whole or in part by EPSRC, United Kingdom grant number EP/V050079/1. For the purpose of Open Access, the author has applied a CC BY public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission.
- Licence:
- CC Attribution (CC BY)
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