A Surface Wave Model for Coupling with Numerical Ocean Circulation Models

2008 ◽  
Vol 25 (10) ◽  
pp. 1785-1807 ◽  
Author(s):  
George L. Mellor ◽  
Mark A. Donelan ◽  
Lie-Yauw Oey
Keyword(s):  
Surface Wave ◽  
Shallow Water ◽  
Hurricane Katrina ◽  
Ocean Circulation ◽  
Three Dimensional ◽  
Wave Model ◽  
Third Generation ◽  
Model Calculations ◽  
Coupling Terms ◽  
Buoy Data

Abstract A surface wave model is developed with the intention of coupling it to three-dimensional ocean circulation models. The model is based on a paper by Mellor wherein depth-dependent coupling terms were derived. To be compatible with circulation models and to be numerically economical, this model is simplified compared to popular third-generation models. However, the model does support depth and current refraction, deep and shallow water, and proper coupling with depth-variable currents. The model is demonstrated for several simple scenarios culminating in comparisons of model calculations with buoy data during Hurricane Katrina and with calculations from the model Simulating Waves Nearshore (SWAN); for these calculations, coupling with the ocean was not activated.

Shallow water application of the third-generation WAM wave model

1989 ◽  
Vol 94 (C6) ◽  
pp. 8111 ◽  
Author(s):  
Luigi Cavaleri ◽  
Luciana Bertotti ◽  
Piero Lionello
Keyword(s):  
Shallow Water ◽  
Wave Model ◽  
Third Generation ◽  
Water Application ◽  
The Third

A long-wave model for the surface elastic wave in a coated half-space

2010 ◽  
Vol 466 (2122) ◽  
pp. 3097-3116 ◽  
Author(s):  
H.-H. Dai ◽  
J. Kaplunov ◽  
D. A. Prikazchikov
Keyword(s):  
Surface Wave ◽  
Boundary Conditions ◽  
Half Space ◽  
Elliptic Equations ◽  
Ad Hoc ◽  
Perturbation Technique ◽  
Three Dimensional ◽  
Wave Model ◽  
Destructive Testing ◽  
Long Wave

The paper deals with the three-dimensional problem in linear isotropic elasticity for a coated half-space. The coating is modelled via the effective boundary conditions on the surface of the substrate initially established on the basis of an ad hoc approach and justified in the paper at a long-wave limit. An explicit model is derived for the surface wave using the perturbation technique, along with the theory of harmonic functions and Radon transform. The model consists of three-dimensional ‘quasi-static’ elliptic equations over the interior subject to the boundary conditions on the surface which involve relations expressing wave potentials through each other as well as a two-dimensional hyperbolic equation singularly perturbed by a pseudo-differential (or integro-differential) operator. The latter equation governs dispersive surface wave propagation, whereas the elliptic equations describe spatial decay of displacements and stresses. As an illustration, the dynamic response is calculated for impulse and moving surface loads. The explicit analytical solutions obtained for these cases may be used for the non-destructive testing of the thickness of the coating and the elastic moduli of the substrate.

Diverse wave propagation in shallow water waves with the Kadomtsev–Petviashvili–Benjamin–Bona–Mahony and Benney–Luke integrable models

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 808-818
Author(s):  
Usman Younas ◽  
Aly R. Seadawy ◽  
Muhammad Younis ◽  
Syed T. R. Rizvi ◽  
Saad Althobaiti
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Three Dimensional ◽  
Wave Model ◽  
Algebraic Method ◽  
Integrable Models ◽  
Computational Technique ◽  
Shallow Water Waves ◽  
Physical Problems ◽  
Contour Plots

Abstract The shallow water wave model is one of the completely integrable models illustrating many physical problems. In this article, we investigate new exact wave structures to Kadomtsev–Petviashvili–Benjamin–Bona–Mahony and the Benney–Luke equations which explain the behavior of waves in shallow water. The exact structures are expressed in the shapes of hyperbolic, singular periodic, rational as well as solitary, singular, shock, shock-singular solutions. An efficient computational strategy namely modified direct algebraic method is employed to construct the different shapes of wave structures. Moreover, by fixing parameters, the graphical representations of some solutions are plotted in terms of three-dimensional, two-dimensional and contour plots, which explain the physical movement of the attained results. The accomplished results show that the applied computational technique is valid, proficient, concise and can be applied in more complicated phenomena.

scholarly journals REVISITING THE JONSWAP BOTTOM FRICTION FORMULATION

2011 ◽  
Vol 1 (32) ◽  
pp. 41 ◽  
Author(s):  
Gerbrant Van Vledder ◽  
Marcel Zijlema ◽  
Leo Holthuijsen
Keyword(s):  
Shallow Water ◽  
Source Term ◽  
Wadden Sea ◽  
Growth Curves ◽  
Wave Model ◽  
Bottom Friction ◽  
Third Generation ◽  
The Third ◽  
Accurate Interpretation ◽  
Wind Sea

The derivation of the JONSWAP bottom friction for wind-driven seas is revisited. This is motivated by the fact that in the literature two different values for the corresponding coefficient are recommended, one value applicable for swell conditions and a significantly higher value for wind-driven sea conditions. The value applicable for winddriven seas was originally determined by Bouws and Komen (1983) who studied the source term balance of a remarkably stationary storm in shallow water. We used a more accurate interpretation of these observations by hindcasting this storm with the third-generation wave model SWAN. In addition, we compare wave model results with measurements in the Wadden Sea and with parametric growth curves, some of which were obtained in Lake George, Australia. The results strongly suggest that the lower bottom friction value of Cb=0.038 m2s-3 is applicable for both wind-sea and swell conditions.

Validation of the CMEMS-IBI wave model with data assimilation in a high resolution regional configuration.

2020 ◽  
Author(s):  
Malek Ghantous ◽  
Lotfi Aouf ◽  
Alice Dalphinet ◽  
Cristina Toledano ◽  
Lorea García San Martín ◽  
...  
Keyword(s):  
High Resolution ◽  
Data Assimilation ◽  
Ocean Circulation ◽  
Circulation Model ◽  
Wave Model ◽  
Optimal Interpolation ◽  
Wave Data ◽  
Wave Forecast ◽  
Buoy Data ◽  
The Impact

<p>One of the challenges of the Iberia-Biscay-Ireland (IBI) Monitoring Forecasting Centre in CMEMS phase 2 is the implementation of the assimilation of altimeter wave data in the wave forecast system.  In this work we explored the impact of the assimilation of altimeter wave data in the IBI domain.  We ran the Météo France version of the WAM wave model (MFWAM) in the IBI domain for 2018 and 2019, with data assimilated from the Jason 2 and 3, Saral, Cryosat 2 and Sentinel 3 altimeters.  This high-resolution (0.05 degree) configuration was forced by 0.05 degree ECMWF winds, and boundary conditions were provided by a 0.1 degree global model run.  We also included refraction from currents generated with the NEMO-IBI ocean circulation model.  We present results with and without wave–current interactions.  Validation against both buoy data and the HaiYang 2 altimeter shows that the assimilation of data leads to a marked reduction in scatter index and model bias compared to the run without data assimilation; the gains from including currents meanwhile are modest.  </p><p>The data assimilation scheme presently implemented in MFWAM uses an optimal interpolation algorithm where constant model and observational errors are assumed.  To add some sophistication, we experimented with non-constant background errors derived from a model ensemble.  Though the effect was small, the method suggests a way to improve the data assimilation performance without substantially altering the algorithm.</p>

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