Three-dimensional phase-resolving surface wave model for finite depth
https://doi.org/10.59887/2073-6673.2025.18(1)-2
Abstract
The paper presents modification of the three-dimensional phase-resolving FWM (Full Wave Model) model of potential waves to simulate the evolution of waves on finite depth water and to determine the range of applicability of the proposed model. Calculations have been carried out to illustrate the fulfillment of the dispersion relation for waves in finite depth, initially assigned by JONSWAP spectrum. The quasi-stationary regime is considered. Calculations were carried out for two resolution options (almost one-dimensional and multidirectional waves) and for various dimensionless depth values. The agreement between theoretical and model calculations of the dispersion relation is shown with a sufficient accuracy on the base of calculated statistic characteristics. The proposed modification of the model is applicable for simulating the multimode wave field for a depth of no less than 0.1 of the maximum wavelength, which significantly expands the field of its application.
Keywords
wind waves,
phase-resolving modeling,
finite depth,
phase velocity,
dispersion relation,
three-dimensional wave modeling
Supporting agencies: The study was carried out within the framework of the Shirshov Institute of Oceanology state assignment (theme No. FMWE-2024-0028).
About the Author
K. V. Fokina
Shirshov Institute of Oceanology, Russian Academy of Sciences
Russian Federation
Russian Federation
36 Nakhimovsky Prosp., Moscow 117997
Scopus AuthorID: 57225150215
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Review
For citations:
Fokina K.V. Three-dimensional phase-resolving surface wave model for finite depth. Fundamental and Applied Hydrophysics. 2025;18(1):19-30. (In Russ.) https://doi.org/10.59887/2073-6673.2025.18(1)-2
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