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74 ANAIS DO INSTITUTO HIDROGRÁFICO N.º 15<br />

Finally, the last and may by the most important is the<br />

fact that it is enough only one run of the model for a<br />

complete characterization of the area of interest, while<br />

all the additional computations are being made in real<br />

time outside the model.<br />

6. Index of Symbols<br />

Diss – energy dissipation per unit time,<br />

DLENC – global variable, length of the grid in directional<br />

space,<br />

Dspr – directional width of the spectrum (directional spreading),<br />

DXC1,2 – length of the meshes in x direction,<br />

DYC1,2 – length of the meshes in y direction,<br />

s, u – energy density spectrum,<br />

FLENC – global variable, length of the grid in frequency space,<br />

Fspr – frequency width of the spectrum (frequency spreading),<br />

g – acceleration of gravity,<br />

k sh – advanced shore coefficient,<br />

Llj – j-line length,<br />

MDC – global variable, number of meshes in directional space,<br />

MFC – global variable, number of meshes in frequency spaces,<br />

MXC1,2 – number of meshes in x direction,<br />

MYC1,2 – number of meshes in y direction ,<br />

N (s, u) – action density spectrum,<br />

Npj – number of points on the j-line,<br />

Ste – wave steepness,<br />

TM01 – wave period,<br />

wd – imposed water depth for the isolines,<br />

Wl – wavelength (respectively deep water wavelength,<br />

(x 1j , y 1j ), (x 2j , y 2j ) – j-line end points,<br />

XoX, YoY, ZoZ – grid matrices corresponding to x, y and<br />

respectively depth directions,<br />

XCO2 – x coordinate of the origin of the reshaped grid,<br />

XLENC1,2 – length in x direction<br />

YCO2 – y coordinate of the origin of the reshaped grid,<br />

YLENC1,2 – length in y direction,<br />

dst r – minimum grid step,<br />

dst j – step for the j-line,<br />

V – MATLAB ceil function,<br />

C , C * – isoline operators,<br />

r – density water,<br />

s (s – ) – relative frequency (respectively mean frequency),<br />

u – mean wave direction,<br />

j 3 – deep water form of the Iribarren number,<br />

* – indices 1 and 2 refer of the initial and respectively the<br />

reshaped grids.<br />

7. Acknowledgments<br />

This work is a contribution for two projects developed<br />

in <strong>Instituto</strong> Hidrografico of the Portuguese Navy:<br />

PAMMELA2 (Nearshore Wave Forecasting: Spectral<br />

Models and Data Assimilation) supported by grant<br />

PDCTM/P/MAR/15242/1999 from Fundação para Ciência<br />

e a Tecnologia and MOCASSIM (Oceanographic Model-<br />

ing Implementation with Data Assimilation) also<br />

supported by a grant from Fundação para Ciência e a<br />

Tecnologia.<br />

Eugen Rusu acknowledges a fellowship for scientific<br />

investigation from «Fundação para a Ciência e<br />

Tecnologia».<br />

8. References<br />

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the evolution of wind waves. Part I: Assessment of existing<br />

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Battjes, J.A.; Janssen, J.P. (1978) – Energy Loss and Set-up Due to<br />

Breaking of Ran<strong>do</strong>m Waves. 16 th International Conference on<br />

Coastal Engineering, ASCE, (USA), pp. 569-587.<br />

Bertotti, L.; Cavaleri, L. (1994) – Accuracy of wind and wave evaluation<br />

in coastal regions, Proc. 24 Th Int. Conf. Coastal Engineering,<br />

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Dingemans, M.W. (1997) – Water wave propagation over uneven<br />

bottoms. Part 1 – linear wave propagation, Advanced Series on<br />

Ocean Engineering, 13, World Scientific, 471.<br />

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Haagsma, IJ.G. (1998) – SWAN User Manual. Delft, (The<br />

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Rusu, E.; Soares, C.V. Coelho, E.F.; (2001) – Aplicação em Ambiente<br />

MATLAB para Estimar as Características de Agitação<br />

Marítima em Águas Pouco Profundas. Seminar ‘Hydroinformática<br />

em Portugal’ Lisbon, November 2001.<br />

Soares, C.V.; Rusu, E.; Coelho, E.F.; Pires Silva, A.A.; Makarynsky,<br />

O. (2000) – A Nowcast Tool to Assess Wave Parameters in<br />

Coastal Areas. The 6 th International Workshop on Wave Hindcasting<br />

and Forecasting, Monterey (USA), 6-10 November 2000.<br />

Thornton, E.B.; Guza, R.T. (1983) – Transformation of Wave<br />

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