Implementation and validation of a coastal forecasting ...€¦ · 2Consorzio per le Attivita di...

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Nat. Hazards Earth Syst. Sci., 12, 485–494, 2012 www.nat-hazards-earth-syst-sci.net/12/485/2012/ doi:10.5194/nhess-12-485-2012 © Author(s) 2012. CC Attribution 3.0 License. Natural Hazards and Earth System Sciences Implementation and validation of a coastal forecasting system for wind waves in the Mediterranean Sea R. Inghilesi 1 , F. Catini 2 , G. Bellotti 3 , L. Franco 3 , A. Orasi 1 , and S. Corsini 1,* 1 ISPRA, Istituto Superiore per la Protezione e la Ricerca Ambientale, Roma, Italy 2 Consorzio per le Attivit` a di Supercalcolo per Universita e Ricerca, Roma, Italy 3 Dipartimento di Scienze dell’Ingegneria Civile, Universit` a Roma Tre, Roma, Italy * now at: CIPE, Presidenza del Consiglio, Roma, Italy Correspondence to: R. Inghilesi ([email protected]) Received: 22 April 2011 – Revised: 14 December 2011 – Accepted: 3 January 2012 – Published: 29 February 2012 Abstract. A coastal forecasting system was implemented to provide wind wave forecasts over the whole Mediterranean Sea area, and with the added capability to focus on selected coastal areas. The goal of the system was to achieve a rep- resentation of the small-scale coastal processes influencing the propagation of waves towards the coasts. The system was based on a chain of nested wave models and adopted the WAve Model (WAM) to analyse the large-scale, deep-sea propagation of waves; and the Simulating WAves Nearshore (SWAN) to simulate waves in key coastal areas. Regional intermediate-scale WAM grids were introduced to bridge the gap between the large-scale and each coastal area. Even ap- plying two consecutive nestings (Mediterranean grid re- gional grid coastal grid), a very high resolution was still required for the large scale WAM implementation in order to get a final resolution of about 400 m on the shores. In this study three regional areas in the Tyrrhenian Sea were se- lected, with a single coastal area embedded in each of them. The number of regional and coastal grids in the system could easily be modified without significantly affecting the effi- ciency of the system. The coastal system was tested in three Italian coastal regions in order to optimize the numerical pa- rameters and to check the results in orographically complex zones for which wave records were available. Fifteen storm events in the period 2004–2009 were considered. 1 Introduction The nature of the generation of wind waves and their prop- agation in time and space has been thoroughly investigated over recent decades. Although the understanding of the prob- lem is still incomplete, the physical description of the spa- tial and temporal evolution of the wave spectra subject to the interactions with the atmosphere, sea currents and the sea bed is, today, a successful and established theory. As illustrated by Lavrenov (2003) and Janssen (2004), our knowledge of the interactions between atmosphere and ocean has signifi- cantly improved since the seminal papers of Phillips (1957) and Miles (1957). In particular, the use of the kinetic equa- tion to describe the evolution of the wave spectrum (Komen et al., 1984) paved the way for the development of mod- ern numerical methods for simulating the dynamics of wind waves. Over the last 30 years, wave modeling has been in- creasingly used in a variety of applications, from ocean fore- casting to wave energy production and coastal management. A full discussion of the subject would be totally beyond the scope of the present work, but thorough accounts of the state of the art and the prospects for improvement of wave models can be found in Holthuijsen (2007), the WISE Group (2007) and Komen et al. (1994). Like many other geophysical phe- nomena, waves can be studied on very different space and temporal time scales (we refer to Sect. 1.7, Lavrenov, 2003, for a discussion of the relevant spatial and temporal scales for the physical processes associated with wind-waves). Ocean storms belong to large scales and are mainly related to the processes of wind momentum transfer, nonlinear transfer, current refraction and turbulent dissipation of energy. As waves move toward the shoreline other, physical processes become important, viz. refraction induced by sudden vari- ations in depth (or by coastal currents) and shoaling. Since the forcings now become increasingly dependent on regional currents and local variations in bathymetry, the scale of the problem becomes smaller. In most situations the two types of waves can still be analyzed within the framework of the same theory. As a result, a third generation wave model like WAM, which efficiently solves the kinetic equation and the source functions in order to give global and regional forecasts, can Published by Copernicus Publications on behalf of the European Geosciences Union.

Transcript of Implementation and validation of a coastal forecasting ...€¦ · 2Consorzio per le Attivita di...

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Nat. Hazards Earth Syst. Sci., 12, 485–494, 2012www.nat-hazards-earth-syst-sci.net/12/485/2012/doi:10.5194/nhess-12-485-2012© Author(s) 2012. CC Attribution 3.0 License.

Natural Hazardsand Earth

System Sciences

Implementation and validation of a coastal forecasting system forwind waves in the Mediterranean Sea

R. Inghilesi1, F. Catini2, G. Bellotti3, L. Franco3, A. Orasi1, and S. Corsini1,*

1ISPRA, Istituto Superiore per la Protezione e la Ricerca Ambientale, Roma, Italy2Consorzio per le Attivita di Supercalcolo per Universita e Ricerca, Roma, Italy3Dipartimento di Scienze dell’Ingegneria Civile, Universita Roma Tre, Roma, Italy* now at: CIPE, Presidenza del Consiglio, Roma, Italy

Correspondence to:R. Inghilesi ([email protected])

Received: 22 April 2011 – Revised: 14 December 2011 – Accepted: 3 January 2012 – Published: 29 February 2012

Abstract. A coastal forecasting system was implemented toprovide wind wave forecasts over the whole MediterraneanSea area, and with the added capability to focus on selectedcoastal areas. The goal of the system was to achieve a rep-resentation of the small-scale coastal processes influencingthe propagation of waves towards the coasts. The systemwas based on a chain of nested wave models and adoptedthe WAve Model (WAM) to analyse the large-scale, deep-seapropagation of waves; and the Simulating WAves Nearshore(SWAN) to simulate waves in key coastal areas. Regionalintermediate-scale WAM grids were introduced to bridge thegap between the large-scale and each coastal area. Even ap-plying two consecutive nestings (Mediterranean grid→ re-gional grid→ coastal grid), a very high resolution was stillrequired for the large scale WAM implementation in orderto get a final resolution of about 400 m on the shores. Inthis study three regional areas in the Tyrrhenian Sea were se-lected, with a single coastal area embedded in each of them.The number of regional and coastal grids in the system couldeasily be modified without significantly affecting the effi-ciency of the system. The coastal system was tested in threeItalian coastal regions in order to optimize the numerical pa-rameters and to check the results in orographically complexzones for which wave records were available. Fifteen stormevents in the period 2004–2009 were considered.

1 Introduction

The nature of the generation of wind waves and their prop-agation in time and space has been thoroughly investigatedover recent decades. Although the understanding of the prob-lem is still incomplete, the physical description of the spa-tial and temporal evolution of the wave spectra subject to the

interactions with the atmosphere, sea currents and the sea bedis, today, a successful and established theory. As illustratedby Lavrenov(2003) andJanssen(2004), our knowledge ofthe interactions between atmosphere and ocean has signifi-cantly improved since the seminal papers ofPhillips (1957)andMiles (1957). In particular, the use of the kinetic equa-tion to describe the evolution of the wave spectrum (Komenet al., 1984) paved the way for the development of mod-ern numerical methods for simulating the dynamics of windwaves. Over the last 30 years, wave modeling has been in-creasingly used in a variety of applications, from ocean fore-casting to wave energy production and coastal management.A full discussion of the subject would be totally beyond thescope of the present work, but thorough accounts of the stateof the art and the prospects for improvement of wave modelscan be found inHolthuijsen(2007), theWISE Group(2007)andKomen et al.(1994). Like many other geophysical phe-nomena, waves can be studied on very different space andtemporal time scales (we refer to Sect. 1.7,Lavrenov, 2003,for a discussion of the relevant spatial and temporal scales forthe physical processes associated with wind-waves). Oceanstorms belong to large scales and are mainly related to theprocesses of wind momentum transfer, nonlinear transfer,current refraction and turbulent dissipation of energy. Aswaves move toward the shoreline other, physical processesbecome important, viz. refraction induced by sudden vari-ations in depth (or by coastal currents) and shoaling. Sincethe forcings now become increasingly dependent on regionalcurrents and local variations in bathymetry, the scale of theproblem becomes smaller. In most situations the two types ofwaves can still be analyzed within the framework of the sametheory. As a result, a third generation wave model like WAM,which efficiently solves the kinetic equation and the sourcefunctions in order to give global and regional forecasts, can

Published by Copernicus Publications on behalf of the European Geosciences Union.

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486 R. Inghilesi et al.: Implementation and validation of a coastal forecasting system

be combined with other models like SWAN that are moreoriented towards propagation on the coastal scale. We re-fer to Komen et al.(1994) and Janssen(2008) for a com-plete description of WAM, and toBooij et al.(1999) andTheSWAN Team(1993) for information on SWAN. Given re-cent advances in the availability of computer power, it hasbecome feasible to use chains of numerical models in orderto connect the wave propagation from the large to the re-gional/coastal scales. The resulting system might provide notonly large-scale wave forecasts based on synoptic-scale windand satellite data assimilation, but also a realistic ongoing de-scription of the coastal processes in smaller regional areas.Studies focused on waves in the Mediterranean Sea (Bertottiand Cavaleri, 2009; Cavaleri and Sclavo, 2006; Bertotti andCavaleri, 2006; Komen et al., 1994) are in agreement, argu-ing that due to the small scale geographical features of theregion, wave numerical forecasts can only be accurate whenwaves and surface winds are defined with a resolution finerthan 1/3 of a degree at the minimum. On the other hand,asBertotti and Cavaleri(2009) observed, improved resolu-tion (in the meteorological model) does not automaticallymean improved accuracy (in wind and wave forecasting), es-pecially when the increase in wind resolution is obtained bythe use of limited area models. A dimensional analysis ofthe spectral energy density in the case of fixed fetch can beused to estimate the relative error in significant wave height(Hs) in terms of relative error in wind speed (U ) (Polnikovet al., 2008) as dHs

Hs=

dUU

. Consequently, in deep waters theaccuracy of wave forecasts is largely dependent on the ac-curacy of the wind fields at the surface, which, in turn, isnot simply dependent upon the resolution of the meteoro-logical model. In coastal areas, the spatial resolution of thewave model should instead be sufficiently high to take intoaccount the refraction due to spatial variations in currentsand bathymetry. In the present study a resolution of 1/240degrees in the coastal areas was considered adequate. Theresolution of the Mediterranean scale model and the regionalintermediate models was chosen so as to have nesting scaleratios between two and four.

2 The Mediterranean coastal forecasting system

The Mediterranean Coastal Forecasting System (MCFS) ispart of an integrated system of measurement networks andnumerical modeling tools aimed at the monitoring of marineand coastal processes. Besides numerical waves prediction,the Italian Institute for Environmental Research and Protec-tion (ISPRA) runs two real-time national marine networks:the National Waves Network (RON), and the National Tide-gauges Network (RMN). The RON operates 15 deep waterdirectional wave buoys, while the RMN manages 34 coastalstations equipped with meteorological instruments and tidegauges. For operational forecasts, the ISPRA Hydro-Marineand Meteorological Forecasting System (SIMM) provides

Fig. 1. Regional (black boxes) and coastal areas (red boxes) nestedin the Mediterranean Sea grid.

short term (2 days) meteorological forecasts for the Mediter-ranean Sea area with 0.1/0.1 degrees Lat./Lon. resolution.The meteorological model used is the BOlogna Limited AreaModel, or BOLAM (Lagouvardos et al., 2003; Buzzi et al.,1994). The SIMM has been operational since 2000 and un-derwent an upgrade of its meteorological modules in 2010and 2011. Mediterranean Sea scale MCFS simulations areobtained by running the WAM model forced by the 3-hr timestep wind field produced by BOLAM. The same wind field,at 0.1/0.1 deg. resolution, is also used for the regional andcoastal areas. The wind fields are interpolated on the dif-ferent grids by means of a remapping procedure in order tolimit the smoothing due to bilinear interpolation (Accadia etal., 2002). The aim of the MCFS is not only to provide short-term wave forecasts, but also to determine wave climates inshallow water so as to be able evaluate the effects of sig-nificant storms on coastal areas. The system first connectsthe global Mediterranean scale to the regional scale with asmooth nesting (nesting scale factor 1/2), then in the regionalareas it zooms on the local/coastal scale with a nesting scalefactor 1/4. The large-scale part of the MCFS is based on theWAM cycle 4.5 model running over the entire MediterraneanSea at a resolution of 1/30 degree. In some selected areas, re-gional scale WAM implementations (at approx. 1/60 degreeresolution) are nested in the large scale-grid. The compu-tations carried out at this level use the deep-water versionof WAM. Finally, the coastal models are nested inside eachregional grid. The coastal implementation is based on theSWAN cycle 2 (40.72), running at a resolution of 1/240 de-grees. The coastal implementation, in the current stage ofdevelopment of the MCFS, does not take into account re-fraction by currents and diffraction by the topography. The

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R. Inghilesi et al.: Implementation and validation of a coastal forecasting system 487TEXT: TEXT 3

carried out at this level use the deep-water version of WAM.Finally, the coastal models are nested inside each regionalgrid). The coastal implementation is based on the SWAN cy-cle 2 (40.72), running at a resolution of 1/240 degrees. Thecoastal implementation, in the current stage of development150

of the MCFS, does not take into account refraction by cur-rents and diffraction by the topography. The regional areasconsidered in the present study are located in the LigurianSea, the Central Thyrrenian Sea and the Southern Thyrrhe-nian Sea. The areas were selected to include both one avail-155

able shallow-water buoy (in a range of 10-50 m depth) and ameteorological station. The bathymetry of the MediterraneanSea was interpolated from the General Bathymetric Chart ofthe Ocean,the GEBCO-08, 30 arc-second grid dataset. Inthe regional areas the GEBCO-08 and the Hydrological Insti-160

tute of the Italian Navy (IIM) regional marine coastal chartswere merged. In coastal areas, where available, small-scalebathymetric data were added. In the SWAN simulations thebottom dissipation effects were calculated using a constantfriction coefficient depending on the prevailing wind sea or165

swell conditions. Triad wave-wave interactions were con-sidered by means of the Lumped Triad Approximation.Thesaturation-based whitecapping scheme (Van der Westhuysen,2007) was chosen for wind input and whitecapping dissipa-tion processes. In this formulation the dissipation term is170

directly related to the process of wave breaking and dependson quantities that are local (i.e. not integrated on the wholespectrum) in the frequency spectrum, differing in this respectfrom the citetkom84 formulation. The wind input sourceterm was adapted from the formulation proposed by Yan for175

wind growth (The SWAN Team, 1993; Van der Westhuysen,2007).

3 Results

The MCFS system was applied to three coastal areas in theLigurian, the Central and the Southern Tyrrhenian Sea which180

were known to be affected by severe storms (Franco et al.,2004), as shown in Fig.1. In each area, five events were se-lected according to the availability of nearshore buoy dataand on the severity of the storms. The lists of events for eachcoastal zone are reported respectively in Tab.1, Tab.2, Tab.3.185

The comparisons between recorded buoy and hindcast Hs

data are shown for each event in terms of the standard sta-tistical operators: Bias, Mean Absolute Error (MAE), MeanSquare Error (MSE) and correlation coefficient. The com-parisons between simulated and buoy Hs and peak period190

(Tp) for all 5 events in each coastal area are illustrated bymeans of scatter diagrams. For each coastal area a singlesignificant event is also described in terms of comparison ofmeasured vs. hindcast (SWAN) time series of Hs, Tp, andmean wave direction (Dir). A representation of the regional-195

scale (WAM) contribution to the hindcast total sea in termsof swell and wind sea at the buoy position is also included.

Fig. 2. Position of the regional grid (black boxes) and coastal grid(red boxes) in the Ligurian Sea.

Fig. 3. Bathymetry and position of the Carrara buoy

The separation between the two parts of the wave energyspectrum in WAM was calculated using a dynamic thresh-old based on the wave age, as described in ECMWF (2009).200

3.1 Ligurian Sea

The positions of the regional (WAM) and coastal (SWAN)grids in the Ligurian Sea are shown in Fig.2. The buoy usedfor the comparison is close to the Port of Marina di Carrara;its position, at a mooring depth of 13.5 m, is shown in Fig.3.205

The bathymetry of the area shows a sharp gradient near the

Fig. 2. Position of the regional grid (black box) and coastal grid(red box) in the Ligurian Sea.

regional areas considered in the present study are located inthe Ligurian Sea, the Central Tyrrhenian Sea and the South-ern Tyrrhenian Sea. The areas were selected to include bothone available shallow-water buoy (in a range of 10–50 mdepth) and a meteorological station. The bathymetry of theMediterranean Sea was interpolated from the General Bathy-metric Chart of the Ocean, the GEBCO-08, 30 arc-secondgrid dataset. In the regional areas the GEBCO-08 and the Hy-drological Institute of the Italian Navy (IIM) regional marinecoastal charts were merged. In coastal areas, where available,small-scale bathymetric data were added. In SWAN, simu-lations of the bottom dissipation effects were calculated us-ing a constant friction coefficient depending on the prevailingwind sea or swell conditions. Triad wave-wave interactionswere considered by means of the Lumped Triad Approxi-mation.The saturation-based whitecapping scheme (Van derWesthuysen, 2007) was chosen for wind input and whitecap-ping dissipation processes. In this formulation the dissipa-tion term is directly related to the process of wave breakingand depends on quantities that are local (i.e. not integrated onthe whole spectrum) in the frequency spectrum, differing inthis respect from theKomen et al.(1984) formulation. Thewind input source term was adapted from the formulationproposed by Yan for wind growth (The SWAN Team, 1993;Van der Westhuysen, 2007).

3 Results

The MCFS system was applied to three coastal areas in theLigurian, the Central and the Southern Tyrrhenian Sea, whichwere known to be affected by severe storms (Franco et al.,2004), as shown in Fig.1. In each area, five events wereselected according to the availability of nearshore buoy dataand on the severity of the storms. The lists of events foreach coastal zone are reported respectively in Tables1, 2 and3. The comparisons between recorded buoy and hindcastHs

TEXT: TEXT 3

carried out at this level use the deep-water version of WAM.Finally, the coastal models are nested inside each regionalgrid). The coastal implementation is based on the SWAN cy-cle 2 (40.72), running at a resolution of 1/240 degrees. Thecoastal implementation, in the current stage of development150

of the MCFS, does not take into account refraction by cur-rents and diffraction by the topography. The regional areasconsidered in the present study are located in the LigurianSea, the Central Thyrrenian Sea and the Southern Thyrrhe-nian Sea. The areas were selected to include both one avail-155

able shallow-water buoy (in a range of 10-50 m depth) and ameteorological station. The bathymetry of the MediterraneanSea was interpolated from the General Bathymetric Chart ofthe Ocean,the GEBCO-08, 30 arc-second grid dataset. Inthe regional areas the GEBCO-08 and the Hydrological Insti-160

tute of the Italian Navy (IIM) regional marine coastal chartswere merged. In coastal areas, where available, small-scalebathymetric data were added. In the SWAN simulations thebottom dissipation effects were calculated using a constantfriction coefficient depending on the prevailing wind sea or165

swell conditions. Triad wave-wave interactions were con-sidered by means of the Lumped Triad Approximation.Thesaturation-based whitecapping scheme (Van der Westhuysen,2007) was chosen for wind input and whitecapping dissipa-tion processes. In this formulation the dissipation term is170

directly related to the process of wave breaking and dependson quantities that are local (i.e. not integrated on the wholespectrum) in the frequency spectrum, differing in this respectfrom the citetkom84 formulation. The wind input sourceterm was adapted from the formulation proposed by Yan for175

wind growth (The SWAN Team, 1993; Van der Westhuysen,2007).

3 Results

The MCFS system was applied to three coastal areas in theLigurian, the Central and the Southern Tyrrhenian Sea which180

were known to be affected by severe storms (Franco et al.,2004), as shown in Fig.1. In each area, five events were se-lected according to the availability of nearshore buoy dataand on the severity of the storms. The lists of events for eachcoastal zone are reported respectively in Tab.1, Tab.2, Tab.3.185

The comparisons between recorded buoy and hindcast Hs

data are shown for each event in terms of the standard sta-tistical operators: Bias, Mean Absolute Error (MAE), MeanSquare Error (MSE) and correlation coefficient. The com-parisons between simulated and buoy Hs and peak period190

(Tp) for all 5 events in each coastal area are illustrated bymeans of scatter diagrams. For each coastal area a singlesignificant event is also described in terms of comparison ofmeasured vs. hindcast (SWAN) time series of Hs, Tp, andmean wave direction (Dir). A representation of the regional-195

scale (WAM) contribution to the hindcast total sea in termsof swell and wind sea at the buoy position is also included.

Fig. 2. Position of the regional grid (black boxes) and coastal grid(red boxes) in the Ligurian Sea.

Fig. 3. Bathymetry and position of the Carrara buoy

The separation between the two parts of the wave energyspectrum in WAM was calculated using a dynamic thresh-old based on the wave age, as described in ECMWF (2009).200

3.1 Ligurian Sea

The positions of the regional (WAM) and coastal (SWAN)grids in the Ligurian Sea are shown in Fig.2. The buoy usedfor the comparison is close to the Port of Marina di Carrara;its position, at a mooring depth of 13.5 m, is shown in Fig.3.205

The bathymetry of the area shows a sharp gradient near the

Fig. 3. Bathymetry and position of the Carrara buoy.

data are shown for each event in terms of the standard sta-tistical operators: bias, mean absolute error (MAE), meansquare error (MSE) and correlation coefficient. The compar-isons between simulated and buoyHs and peak period (Tp)for the hourly sea states of all 5 storms in each coastal areaare illustrated by means of scatter diagrams. For each coastalarea a single significant event is also described in terms ofcomparison of measured vs. hindcast (SWAN) time series ofHs, Tp, and mean wave direction (Dir). A representation ofthe regional-scale (WAM) contribution to the hindcast totalsea in terms of swell and wind sea at the buoy position is alsoincluded. The separation between the two parts of the waveenergy spectrum in WAM was calculated using a dynamicthreshold based on the wave age, as described inECMWF(2009).

3.1 Ligurian Sea

The positions of the regional (WAM) and coastal (SWAN)grids in the Ligurian Sea are shown in Fig.2. The buoy usedfor the comparison is close to the Port of Marina di Carrara;its position, at a mooring depth of 13.5 m, is shown in Fig.3.The bathymetry of the area shows a sharp gradient near thewestern side of the coastal grid. Inside the coastal grid theisobaths are almost parallel and the slopes decrease gentlytowards the shore. The statistical analysis of the comparisonsbetween buoy data and numerical simulations are shown inTable1 for each of the 5 events.

Generally, coastal implementations are better correlatedwith buoy data and have smaller BIAS than the regionalmodel in shallow waters. The 21–30 March storm event is

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488 R. Inghilesi et al.: Implementation and validation of a coastal forecasting system

Table 1. Statistical results for the Carrara storm events

BIAS MAE MSE corr

1st storm: 18–22 March 2007

Regional −0.42 0.77 0.98 0.77Coastal −0.32 0.63 0.73 0.83

2nd storm: 2–7 December 2007

Regional −0.28 0.63 0.68 0.79Coastal −0.31 0.63 0.59 0.85

3rd storm: 21–30 March 2008

Regional −0.47 0.54 0.50 0.86Coastal −0.35 0.48 0.43 0.84

4th storm: 29 October–2 Nov. 2008

Regional −0.10 0.44 0.32 0.84Coastal −0.01 0.47 0.38 0.86

5th storm: 4–8 December 2008

Regional 0.11 0.71 0.76 0.76Coastal 0.31 0.56 0.52 0.86

4 TEXT: TEXT

Table 1. Statistical results for the Carrara storm events

BIAS MAE MSE corr

1st storm: 18-22 March 2007

Regional -0.42 0.77 0.98 0.77Coastal -0.32 0.63 0.73 0.83

2nd storm: 2- 7 December 2007

Regional -0.28 0.63 0.68 0.79Coastal -0.31 0.63 0.59 0.85

3rd storm: 21-30 March 2008

Regional -0.47 0.54 0.50 0.86Coastal -0.35 0.48 0.43 0.84

4th storm: 29 October -2 Nov. 2008

Regional -0.10 0.44 0.32 0.84Coastal -0.01 0.47 0.38 0.86

5th storm: 4-8 December 2008

Regional 0.11 0.71 0.76 0.76Coastal 0.31 0.56 0.52 0.86

western side of the coastal grid. Inside the coastal grid theisobaths are almost parallel and the slopes decrease gentlytowards the shore.The statistical analysis of the comparisonsbetween buoy data and numerical simulations are shown in210

Tab.1 for each of the 5 events.Generally, coastal implementations are better correlated

with buoy data and have smaller BIAS than the regionalmodel in shallow waters. The 21-30 March storm event isan exception, because during this period there was a distinct215

secondary maximum of Hs (not shown), which was not cor-rectly predicted by the wave forecast. RMN wind recordson the coast nearby indicate that this second peak was dueto a rapid increase in wind velocity that was not correctlysimulated by the meteorological model. The comparison be-220

tween observations and coastal simulations of Hs for all the5 episodes considered in the area is shown in Fig.4

The overall correspondence is satisfactory, in particular inthe range of the highest waves. Many of the underpredictedsea states, such as those which form a cloud on the lower225

right side of the diagram, correspond to incorrect wind fore-casts. The analysis of the scatterplot suggests that the slopeof the regression line in Fig.4 might be related to a tendencyof the forecasting system to set the beginning of storm eventstoo early. The scatter diagram of buoy vs. simulated peak230

period (Tp) at Carrara is shown in Fig. 5. In all the con-sidered events (see also Fig.6b) the observed Tp is clearlyoverpredicted by the model, even exceeding 2 seconds dur-ing the 4-8 December 2008 storm. Since it is known thatSWAN typically tends to underpredict Tp (Van der Westhuy-235

sen, 2006), the above results suggest that the reproduction of

0 1 2 3 4 5 60

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

Buoy Hs (m)

Sw

an

Hs

(m

)

Fig. 4. Scatter diagram of recorded vs. SWAN Hs at Carrara. Thestorm events considered in the analysis are listed in Tab.1

3 4 5 6 7 8 92

3

4

5

6

7

8

9

10

11

12

13

14

Buoy Tp (s)

Sw

an

Tp

(s

)

Fig. 5. Scatter diagram of recorded vs. SWAN Tp. The storm eventsconsidered in the analysis are listed in Tab.1

storm dynamics was accurate to only a limited degree. Giventhat the model Tp was bigger than the measured one, a possi-ble explanation for the result is that at the regional scale thecontribution of the swell to the total wave energy is dominant240

compared to that of the local wind-sea. The analysis of theWAM results at the buoy position in terms of the swell contri-bution to the total sea (see Fig6d) seems to support this con-jecture. The Ligurian Sea is an area of active secondary cy-clogenesys, where small (400-500 km typical radius), rapid245

storms develop due to the proximity of the Alpine mountainranges (Lionello et al., 2006). If the meteorological modelfails to reproduce the quick changes in wind direction asso-

Fig. 4. Scatter diagram of buoy recorded vs. SWANHs at Carrara.The storm events considered in the analysis are listed in Table1.

an exception, because during this period there was a distinctsecondary maximum ofHs (not shown), which was not cor-rectly predicted by the wave forecast. RMN wind recordson the coast nearby indicate that this second peak was dueto a rapid increase in wind velocity that was not correctlysimulated by the meteorological model. The comparison be-tween observations and coastal simulations ofHs for all the5 episodes considered in the area is shown in Fig.4.

4 TEXT: TEXT

Table 1. Statistical results for the Carrara storm events

BIAS MAE MSE corr

1st storm: 18-22 March 2007

Regional -0.42 0.77 0.98 0.77Coastal -0.32 0.63 0.73 0.83

2nd storm: 2- 7 December 2007

Regional -0.28 0.63 0.68 0.79Coastal -0.31 0.63 0.59 0.85

3rd storm: 21-30 March 2008

Regional -0.47 0.54 0.50 0.86Coastal -0.35 0.48 0.43 0.84

4th storm: 29 October -2 Nov. 2008

Regional -0.10 0.44 0.32 0.84Coastal -0.01 0.47 0.38 0.86

5th storm: 4-8 December 2008

Regional 0.11 0.71 0.76 0.76Coastal 0.31 0.56 0.52 0.86

western side of the coastal grid. Inside the coastal grid theisobaths are almost parallel and the slopes decrease gentlytowards the shore.The statistical analysis of the comparisonsbetween buoy data and numerical simulations are shown in210

Tab.1 for each of the 5 events.Generally, coastal implementations are better correlated

with buoy data and have smaller BIAS than the regionalmodel in shallow waters. The 21-30 March storm event isan exception, because during this period there was a distinct215

secondary maximum of Hs (not shown), which was not cor-rectly predicted by the wave forecast. RMN wind recordson the coast nearby indicate that this second peak was dueto a rapid increase in wind velocity that was not correctlysimulated by the meteorological model. The comparison be-220

tween observations and coastal simulations of Hs for all the5 episodes considered in the area is shown in Fig.4

The overall correspondence is satisfactory, in particular inthe range of the highest waves. Many of the underpredictedsea states, such as those which form a cloud on the lower225

right side of the diagram, correspond to incorrect wind fore-casts. The analysis of the scatterplot suggests that the slopeof the regression line in Fig.4 might be related to a tendencyof the forecasting system to set the beginning of storm eventstoo early. The scatter diagram of buoy vs. simulated peak230

period (Tp) at Carrara is shown in Fig. 5. In all the con-sidered events (see also Fig.6b) the observed Tp is clearlyoverpredicted by the model, even exceeding 2 seconds dur-ing the 4-8 December 2008 storm. Since it is known thatSWAN typically tends to underpredict Tp (Van der Westhuy-235

sen, 2006), the above results suggest that the reproduction of

0 1 2 3 4 5 60

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

Buoy Hs (m)

Sw

an

Hs

(m

)

Fig. 4. Scatter diagram of recorded vs. SWAN Hs at Carrara. Thestorm events considered in the analysis are listed in Tab.1

3 4 5 6 7 8 92

3

4

5

6

7

8

9

10

11

12

13

14

Buoy Tp (s)

Sw

an

Tp

(s

)

Fig. 5. Scatter diagram of recorded vs. SWAN Tp. The storm eventsconsidered in the analysis are listed in Tab.1

storm dynamics was accurate to only a limited degree. Giventhat the model Tp was bigger than the measured one, a possi-ble explanation for the result is that at the regional scale thecontribution of the swell to the total wave energy is dominant240

compared to that of the local wind-sea. The analysis of theWAM results at the buoy position in terms of the swell contri-bution to the total sea (see Fig6d) seems to support this con-jecture. The Ligurian Sea is an area of active secondary cy-clogenesys, where small (400-500 km typical radius), rapid245

storms develop due to the proximity of the Alpine mountainranges (Lionello et al., 2006). If the meteorological modelfails to reproduce the quick changes in wind direction asso-

Fig. 5. Scatter diagram of buoy recorded vs. SWANTp at Carrara.The storm events considered in the analysis are listed in Table1

The overall correspondence is satisfactory, in particular inthe range of the highest waves. Many of the underpredictedsea states, such as those which form a cloud on the lowerright side of the diagram, correspond to incorrect wind fore-casts. The analysis of the scatterplot suggests that the slopeof the regression line in Fig.4 might be related to a tendencyof the forecasting system to set the beginning of storm eventstoo early. The scatter diagram of buoy vs. simulated peak pe-riod (Tp) at Carrara is shown in Fig.5. In all the consideredevents (see also Fig.6c), the observedTp is clearly overpre-dicted by the model, even exceeding 2 s during the 4–8 De-cember 2008 storm. Since it is known that SWAN typicallytends to underpredictTp (Van der Westhuysen, 2006), theabove results suggest that the reproduction of storm dynam-ics was accurate only to a limited degree.

Given that the modelTp was bigger than the measured one,a possible explanation for the result is that at the regionalscale the contribution of the swell to the total wave energyis dominant compared to that of the local wind-sea. Theanalysis of the WAM results at the buoy position in termsof the swell contribution to the total sea (see Fig.6d) seemsto support this conjecture. The Ligurian Sea is an area of ac-tive secondary cyclogenesis, where small (400–500 km typi-cal radius), rapid storms develop due to the proximity of theAlpine mountain ranges (Lionello et al., 2006). If the meteo-rological model fails to reproduce the quick changes in winddirection associated with a small storm, the wave model in-correctly predicts both the wave age and the direction of thewaves. This, in turn, could explain the presence of the domi-nant swell contribution.

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R. Inghilesi et al.: Implementation and validation of a coastal forecasting system 489TEXT: TEXT 5

02/12 03/12 04/12 05/12 06/12 07/120

1

2

3

4

5

H (

m)

Date

(a)

buoy

swan

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50

100

150

200

250

300

350

Dir (

deg. N

)

Date

(b)

buoy

swan

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5

10

15

Tp (

s)

Date

(c)

buoy

swan

02/12 03/12 04/12 05/12 06/12 07/120

1

2

3

4

H (

m)

Date

(d)

total sea

windsea

swell

Fig. 6. Carrara, 2-7 December 2007 storm: (a) comparison of Hs SWAN vs. buoy records (b) comparison of Tp SWAN vs. buoy records (c)comparison of Dir SWAN vs. buoy records (d) WAM series of wind sea, swell and total Hs out of the regional grid

ciated with a small storm, hence the wave model incorrectlypredicts both the wave age and the direction of the waves.250

This, in turn, could explain the presence of the dominantswell contribution.

3.2 Central Tyrrhenian Sea

The positions of the regional and coastal grids in the CentralTyrrhenian Sea region are shown in Fig. 7. The buoy used for255

the comparison is located near Civitavecchia on 35 m waterdepth (Fig.8).

At Civitavecchia location all statistics (see Tab.2) improvewhen passing from the regional to the coastal scale imple-mentations, with the exception of the 1-15 June 2002 storm,260

for which SWAN overpredicts Hs during the peak of thestorm (by 25%). During two of the episodes considered(27 Aug.-04 Sept. 2001 and 2-11 Nov. 2001) the main wavedirection was steadily northeastward and the agreement withmeasurements was good for the entire duration of the storm.265

During the last storm, 2-7 Feb. 2003, (Figg.11a,11b,11c), a180 deg. rotation of the wave direction preceeded the storm,while during the peak the direction was steady from theSouth West. Even though the comparison between forecastedand recorded wind speed at Civitavecchia (not shown) were270

in reasonable agreement, the peak of the storm was overesti-mated by the model. Fig.11d indicates that the initial part of

Fig. 7. Position of the regional grid (black boxes) and coastal grid(red boxes) in the Central Tyrrhenian Sea.

the simulated storm was due to local wind generation. On thecontrary, since the comparison between recorded and simu-lated peak period (Fig.11b) shows that in the growth stage275

of the storm the buoy Tp was bigger than the SWAN results,

Fig. 6. Carrara, 2–7 December 2007 storm:(a) comparison ofHs SWAN vs. buoy records,(b) comparison of Dir SWAN vs. buoy records,(c) comparison ofTp SWAN vs. buoy records,(d) WAM series of wind sea, swell and totalHs out of the regional grid.

3.2 Central Tyrrhenian Sea

The positions of the regional and coastal grids in the CentralTyrrhenian Sea region are shown in Fig.7. The buoy used forthe comparison is located near Civitavecchia on 35 m waterdepth (Fig.8).

At Civitavecchia location, all statistics (see Table2) im-prove when passing from the regional to the coastal scaleimplementations, with the exception of the 1–15 June 2002storm, for which SWAN overpredictsHs during the peak ofthe storm (by 25 %).

During two of the episodes considered (27 August–4 September 2001 and 2–11 November 2001), the main wavedirection was steadily northeastward and the agreement withmeasurements was good for the entire duration of the storm.During the last storm, 2–7 February 2003, (Fig.11a, b andc), a 180 deg. rotation of the wave direction preceeded thestorm, while during the peak the direction was steady fromthe south west. Even though the comparisons between fore-casted and recorded wind speed at Civitavecchia (not shown)were in reasonable agreement, the peak of the storm was

TEXT: TEXT 5

02/12 03/12 04/12 05/12 06/12 07/120

1

2

3

4

5

H (

m)

Date

(a)

buoy

swan

02/12 03/12 04/12 05/12 06/12 07/120

50

100

150

200

250

300

350

Dir (

de

g.

N)

Date

(b)

buoy

swan

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5

10

15

Tp

(s)

Date

(c)

buoy

swan

02/12 03/12 04/12 05/12 06/12 07/120

1

2

3

4

H (

m)

Date

(d)

total sea

windsea

swell

Fig. 6. Carrara, 2-7 December 2007 storm: (a) comparison of Hs SWAN vs. buoy records (b) comparison of Tp SWAN vs. buoy records (c)comparison of Dir SWAN vs. buoy records (d) WAM series of wind sea, swell and total Hs out of the regional grid

ciated with a small storm, hence the wave model incorrectlypredicts both the wave age and the direction of the waves.250

This, in turn, could explain the presence of the dominantswell contribution.

3.2 Central Tyrrhenian Sea

The positions of the regional and coastal grids in the CentralTyrrhenian Sea region are shown in Fig. 7. The buoy used for255

the comparison is located near Civitavecchia on 35 m waterdepth (Fig.8).

At Civitavecchia location all statistics (see Tab.2) improvewhen passing from the regional to the coastal scale imple-mentations, with the exception of the 1-15 June 2002 storm,260

for which SWAN overpredicts Hs during the peak of thestorm (by 25%). During two of the episodes considered(27 Aug.-04 Sept. 2001 and 2-11 Nov. 2001) the main wavedirection was steadily northeastward and the agreement withmeasurements was good for the entire duration of the storm.265

During the last storm, 2-7 Feb. 2003, (Figg.11a,11b,11c), a180 deg. rotation of the wave direction preceeded the storm,while during the peak the direction was steady from theSouth West. Even though the comparison between forecastedand recorded wind speed at Civitavecchia (not shown) were270

in reasonable agreement, the peak of the storm was overesti-mated by the model. Fig.11d indicates that the initial part of

Fig. 7. Position of the regional grid (black boxes) and coastal grid(red boxes) in the Central Tyrrhenian Sea.

the simulated storm was due to local wind generation. On thecontrary, since the comparison between recorded and simu-lated peak period (Fig.11b) shows that in the growth stage275

of the storm the buoy Tp was bigger than the SWAN results,

Fig. 7. Position of the regional grid (black box) and coastal grid(red box) in the Central Tyrrhenian Sea.

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490 R. Inghilesi et al.: Implementation and validation of a coastal forecasting system

6 TEXT: TEXT

Fig. 8. Bathymetry and position of the Civitavecchia buoy.

Table 2. Statistical results for the Civitavecchia storm events

BIAS MAE MSE corr

1st storm: 27 august-04 September 2001

Regional -0.16 0.31 0.18 0.90Coastal -0.03 0.13 0.07 0.96

2nd storm: 2 -11 November 2001

Regional -0.31 0.32 0.24 0.85Coastal -0.02 0.13 0.08 0.91

3rd storm: 1-15 June 2002

Regional 0.01 0.18 0.06 0.90Coastal 0.13 0.17 0.15 0.95

4th storm: 19-27 September 2002

Regional -0.47 0.52 0.43 0.87Coastal -0.12 0.17 0.15 0.92

5th storm: 2-7 February 2003

Regional -0.38 0.46 0.44 0.88Coastal 0.08 0.22 0.19 0.95

it is resonable to assume that in the real storm there was animportant contribution of the swell. The results seem to indi-cate that the model apparently failed to follow the rotation ofthe wind at the beginning of the storm, possibly because of280

the relatively large time step (3 hours) of the wind input. Thescatterplot of observed vs. simulated Hs is shown in Fig.9.A slight tendency towards overprediction by the MCFS, in-dicated by the position of the maxima in the upper side of

0 0.5 1 1.5 2 2.5 3 3.5 40

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

Buoy Hs (m)

Sw

an

Hs

(m

)

Fig. 9. Scatter diagram of recorded vs. SWAN Hs at Civitavecchia.The storms considered in the analysis are listed in Tab.2

0 2 4 6 8 10 12 142

3

4

5

6

7

8

9

10

Buoy Tp (s)

Sw

an

Tp

(s

)

Fig. 10. Scatter diagram of recorded vs. SWAN Tp at Civitavecchia.The storms considered in the analysis are listed in Tab.2

the plot, is observable. The cluster of points on the right285

of the picture, showing situations of definite underpredic-tion, corresponds to an episode in which the beginning of thestorm was incorrectly predicted by the meteorological fore-cast. In the case of Civitavecchia, too, a slight tendency tooverprediction of the peak period can be observed (Fig.10).290

The points on the right, lower part of the Tp scatterplot,which correspond to the first part of the time series shownin Fig.11b, refer to a situation of calm sea (Hs <0.3m), andhence are not related to wind waves.

Fig. 8. Bathymetry and position of the Civitavecchia buoy.

Table 2. Statistical results for the Civitavecchia storm events.

BIAS MAE MSE corr

1st storm: 27 August–04 September 2001

Regional −0.16 0.31 0.18 0.90Coastal −0.03 0.13 0.07 0.96

2nd storm: 2–11 November 2001

Regional −0.31 0.32 0.24 0.85Coastal −0.02 0.13 0.08 0.91

3rd storm: 1–15 June 2002

Regional 0.01 0.18 0.06 0.90Coastal 0.13 0.17 0.15 0.95

4th storm: 19–27 September 2002

Regional −0.47 0.52 0.43 0.87Coastal −0.12 0.17 0.15 0.92

5th storm: 2–7 February 2003

Regional −0.38 0.46 0.44 0.88Coastal 0.08 0.22 0.19 0.95

overestimated by the model. Figure11d indicates that theinitial part of the simulated storm was due to local wind gen-eration.

On the contrary, since the comparison between recordedand simulated peak period (Fig.11b) shows that in thegrowth stage of the storm the buoyTp was bigger than the

6 TEXT: TEXT

Fig. 8. Bathymetry and position of the Civitavecchia buoy.

Table 2. Statistical results for the Civitavecchia storm events

BIAS MAE MSE corr

1st storm: 27 august-04 September 2001

Regional -0.16 0.31 0.18 0.90Coastal -0.03 0.13 0.07 0.96

2nd storm: 2 -11 November 2001

Regional -0.31 0.32 0.24 0.85Coastal -0.02 0.13 0.08 0.91

3rd storm: 1-15 June 2002

Regional 0.01 0.18 0.06 0.90Coastal 0.13 0.17 0.15 0.95

4th storm: 19-27 September 2002

Regional -0.47 0.52 0.43 0.87Coastal -0.12 0.17 0.15 0.92

5th storm: 2-7 February 2003

Regional -0.38 0.46 0.44 0.88Coastal 0.08 0.22 0.19 0.95

it is resonable to assume that in the real storm there was animportant contribution of the swell. The results seem to indi-cate that the model apparently failed to follow the rotation ofthe wind at the beginning of the storm, possibly because of280

the relatively large time step (3 hours) of the wind input. Thescatterplot of observed vs. simulated Hs is shown in Fig.9.A slight tendency towards overprediction by the MCFS, in-dicated by the position of the maxima in the upper side of

0 0.5 1 1.5 2 2.5 3 3.5 40

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

Buoy Hs (m)

Sw

an

Hs

(m

)

Fig. 9. Scatter diagram of recorded vs. SWAN Hs at Civitavecchia.The storms considered in the analysis are listed in Tab.2

0 2 4 6 8 10 12 142

3

4

5

6

7

8

9

10

Buoy Tp (s)

Sw

an

Tp

(s

)

Fig. 10. Scatter diagram of recorded vs. SWAN Tp at Civitavecchia.The storms considered in the analysis are listed in Tab.2

the plot, is observable. The cluster of points on the right285

of the picture, showing situations of definite underpredic-tion, corresponds to an episode in which the beginning of thestorm was incorrectly predicted by the meteorological fore-cast. In the case of Civitavecchia, too, a slight tendency tooverprediction of the peak period can be observed (Fig.10).290

The points on the right, lower part of the Tp scatterplot,which correspond to the first part of the time series shownin Fig.11b, refer to a situation of calm sea (Hs <0.3m), andhence are not related to wind waves.

Fig. 9. Scatter diagram of buoy recorded vs. SWANHs at Civitavec-chia. The storms considered in the analysis are listed in Table2.

6 TEXT: TEXT

Fig. 8. Bathymetry and position of the Civitavecchia buoy.

Table 2. Statistical results for the Civitavecchia storm events

BIAS MAE MSE corr

1st storm: 27 august-04 September 2001

Regional -0.16 0.31 0.18 0.90Coastal -0.03 0.13 0.07 0.96

2nd storm: 2 -11 November 2001

Regional -0.31 0.32 0.24 0.85Coastal -0.02 0.13 0.08 0.91

3rd storm: 1-15 June 2002

Regional 0.01 0.18 0.06 0.90Coastal 0.13 0.17 0.15 0.95

4th storm: 19-27 September 2002

Regional -0.47 0.52 0.43 0.87Coastal -0.12 0.17 0.15 0.92

5th storm: 2-7 February 2003

Regional -0.38 0.46 0.44 0.88Coastal 0.08 0.22 0.19 0.95

it is resonable to assume that in the real storm there was animportant contribution of the swell. The results seem to indi-cate that the model apparently failed to follow the rotation ofthe wind at the beginning of the storm, possibly because of280

the relatively large time step (3 hours) of the wind input. Thescatterplot of observed vs. simulated Hs is shown in Fig.9.A slight tendency towards overprediction by the MCFS, in-dicated by the position of the maxima in the upper side of

0 0.5 1 1.5 2 2.5 3 3.5 40

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5

Buoy Hs (m)

Sw

an

Hs (

m)

Fig. 9. Scatter diagram of recorded vs. SWAN Hs at Civitavecchia.The storms considered in the analysis are listed in Tab.2

0 2 4 6 8 10 12 142

3

4

5

6

7

8

9

10

Buoy Tp (s)

Sw

an

Tp

(s)

Fig. 10. Scatter diagram of recorded vs. SWAN Tp at Civitavecchia.The storms considered in the analysis are listed in Tab.2

the plot, is observable. The cluster of points on the right285

of the picture, showing situations of definite underpredic-tion, corresponds to an episode in which the beginning of thestorm was incorrectly predicted by the meteorological fore-cast. In the case of Civitavecchia, too, a slight tendency tooverprediction of the peak period can be observed (Fig.10).290

The points on the right, lower part of the Tp scatterplot,which correspond to the first part of the time series shownin Fig.11b, refer to a situation of calm sea (Hs <0.3m), andhence are not related to wind waves.

Fig. 10. Scatter diagram of buoy recorded vs. SWANTp at Civi-tavecchia. The storms considered in the analysis are listed in Ta-ble2.

SWAN results, it is resonable to assume that in the real stormthere was an important contribution of the swell. The resultsseem to indicate that the model apparently failed to followthe rotation of the wind at the beginning of the storm, pos-sibly because of the relatively large time step (3 h) of thewind input. The scatterplot of observed vs. simulatedHsis shown in Fig.9. A slight tendency towards overpredic-tion by the MCFS, indicated by the position of the maximain the upper side of the plot, is observable. The cluster ofpoints on the right of the picture, showing situations of defi-nite underprediction, corresponds to an episode in which thebeginning of the storm was incorrectly predicted by the me-teorological forecast. In the case of Civitavecchia, too, a

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R. Inghilesi et al.: Implementation and validation of a coastal forecasting system 491TEXT: TEXT 7

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1

2

3

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5

H (

m)

Date

(a)

buoy

swan

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100

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200

250

300

350

Dir (

de

g N

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Date

(b)

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swan

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Date

(c)

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swan

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0.5

1

1.5

2

2.5

3

3.5

H (

m)

Date

(d)

total sea

windsea

swell

Fig. 11. Civitavecchia, 2-7 February 2003 storm: (a) comparison of SWAN vs. buoy Hs. (b) comparison of SWAN vs. buoy Tp. (c)comparison of SWAN vs. buoy Dir. (d) WAM series of wind sea, swell and total Hs out of the regional grid.

Fig. 12. Position of the regional grid (black boxes) and coastal grid(red boxes) in the Southern Tyrrhenian Sea.

3.3 Southern Tyrrhenian Sea295

The grids considered in the Southern Tyrrhenian Sea are indi-cated in Fig.12. In Fig.13 are shown bathymetry and positionof the buoy, moored at 50m depths near Tropea. The statistics

Fig. 13. Bathymetry and position of the buoy near Tropea.

of the five case studies are shown in Tab.3. In all the con-sidered events there is a substantial improvement for BIAS,300

MSE and MAE when passing from the regional to the coastalgrid. The comparison between the Hs recorded at Tropea andthe MCFS simulations are shown in Fig.14 for all 5 episodes.There is an overall correspondence between observations andforecasts, which is also visible in the comparison of the time305

series for the 5-13 October 2003 event (Fig.16a). The peak

Fig. 11. Civitavecchia, 2–7 February 2003 storm:(a) comparison of SWAN vs. buoyHs, (b) comparison of SWAN vs. buoy Dir,(c) com-parison of SWAN vs. buoyTp, (d) WAM series of wind sea, swell and totalHs out of the regional grid.

slight tendency to overprediction of the peak period can beobserved (Fig.10). The points on the right, lower part ofthe Tp scatterplot, which correspond to the first part of thetime series shown in Fig.11c, refer to a situation of calm sea(Hs< 0.3 m), and hence are not related to wind waves.

3.3 Southern Tyrrhenian Sea

The grids considered in the Southern Tyrrhenian Sea are in-dicated in Fig.12. In Fig. 13 the bathymetry and position ofthe buoy, moored at 50 m depth near Tropea are shown.

The statistics of the five case studies are shown in Table3.

In all the considered events, there is a substantial improve-ment for BIAS, MSE and MAE when passing from the re-gional to the coastal grid. The comparison between theHsrecorded at Tropea and the MCFS simulations are shown inFig.14for all 5 episodes. There is an overall correspondencebetween observations and forecasts, which is also visible inthe comparison of the time series for the 5–13 October 2003event (Fig.16a). The peak periods in Fig.16c are scattered,but there is no apparent systematic overprediction.

TEXT: TEXT 7

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1

2

3

4

5

H (

m)

Date

(a)

buoy

swan

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50

100

150

200

250

300

350

Dir (

de

g N

)

Date

(b)

buoy

swan

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5

10

15

Tp

(s)

Date

(c)

buoy

swan

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0.5

1

1.5

2

2.5

3

3.5

H (

m)

Date

(d)

total sea

windsea

swell

Fig. 11. Civitavecchia, 2-7 February 2003 storm: (a) comparison of SWAN vs. buoy Hs. (b) comparison of SWAN vs. buoy Tp. (c)comparison of SWAN vs. buoy Dir. (d) WAM series of wind sea, swell and total Hs out of the regional grid.

Fig. 12. Position of the regional grid (black boxes) and coastal grid(red boxes) in the Southern Tyrrhenian Sea.

3.3 Southern Tyrrhenian Sea295

The grids considered in the Southern Tyrrhenian Sea are indi-cated in Fig.12. In Fig.13 are shown bathymetry and positionof the buoy, moored at 50m depths near Tropea. The statistics

Fig. 13. Bathymetry and position of the buoy near Tropea.

of the five case studies are shown in Tab.3. In all the con-sidered events there is a substantial improvement for BIAS,300

MSE and MAE when passing from the regional to the coastalgrid. The comparison between the Hs recorded at Tropea andthe MCFS simulations are shown in Fig.14 for all 5 episodes.There is an overall correspondence between observations andforecasts, which is also visible in the comparison of the time305

series for the 5-13 October 2003 event (Fig.16a). The peak

Fig. 12. Position of the regional grid (black box) and coastal grid(red box) in the Southern Tyrrhenian Sea.

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492 R. Inghilesi et al.: Implementation and validation of a coastal forecasting system

TEXT: TEXT 7

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1

2

3

4

5

H (

m)

Date

(a)

buoy

swan

02/02 03/02 04/02 05/02 06/02 07/020

50

100

150

200

250

300

350

Dir (

deg N

)

Date

(b)

buoy

swan

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5

10

15T

p (

s)

Date

(c)

buoy

swan

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0.5

1

1.5

2

2.5

3

3.5

H (

m)

Date

(d)

total sea

windsea

swell

Fig. 11. Civitavecchia, 2-7 February 2003 storm: (a) comparison of SWAN vs. buoy Hs. (b) comparison of SWAN vs. buoy Tp. (c)comparison of SWAN vs. buoy Dir. (d) WAM series of wind sea, swell and total Hs out of the regional grid.

Fig. 12. Position of the regional grid (black boxes) and coastal grid(red boxes) in the Southern Tyrrhenian Sea.

3.3 Southern Tyrrhenian Sea295

The grids considered in the Southern Tyrrhenian Sea are indi-cated in Fig.12. In Fig.13 are shown bathymetry and positionof the buoy, moored at 50m depths near Tropea. The statistics

Fig. 13. Bathymetry and position of the buoy near Tropea.

of the five case studies are shown in Tab.3. In all the con-sidered events there is a substantial improvement for BIAS,300

MSE and MAE when passing from the regional to the coastalgrid. The comparison between the Hs recorded at Tropea andthe MCFS simulations are shown in Fig.14 for all 5 episodes.There is an overall correspondence between observations andforecasts, which is also visible in the comparison of the time305

series for the 5-13 October 2003 event (Fig.16a). The peak

Fig. 13. Bathymetry and position of the buoy near Tropea.

Table 3. Statistical results for the Tropea storm events.

BIAS MAE MSE corr

1st storm: 5–13 October 2003

Regional −0.35 0.35 0.21 0.95Coastal −0.08 0.09 0.04 0.96

2nd storm: 14–21 December 2003

Regional −0.16 0.20 0.07 0.96Coastal 0.02 0.08 0.05 0.96

3rd storm: 19–25 January 2004

Regional −0.22 0.22 0.10 0.97Coastal −0.02 0.07 0.03 0.96

4th storm: 5–10 March 2004

Regional −0.51 0.58 0.41 0.83Coastal −0.08 0.14 0.10 0.91

5th storm: 15–25 April 2004

Regional −0.10 0.13 0.04 0.97Coastal 0.01 0.05 0.02 0.97

4 Conclusions

This study presents the results of 15 key-studies (5 eventsfor each of the three different coastal areas) selected in or-der to determine the reliability of a high-resolution coastalwave forecasting system (MCFS) in the Ligurian, the Cen-tral Tyrrhenian and the Southern Tyrrhenian Sea. Althoughthe selected set of episodes does not represent all possible sit-uations, we can conclude that when the meteorological fore-casts were accurate, the MCFS was able to give satisfactoryresults in complex coastal areas with water depths between13 and 50 m. In shallow water the coastal model gave better

8 TEXT: TEXT

Table 3. Statistical results for the Tropea storm events

BIAS MAE MSE corr

1st storm: 5-13 October 2003

Regional -0.35 0.35 0.21 0.95Coastal -0.08 0.09 0.04 0.96

2nd storm: 14-21 December 2003

Regional -0.16 0.20 0.07 0.96Coastal 0.02 0.08 0.05 0.96

3rd storm: 19-25 January 2004

Regional -0.22 0.22 0.10 0.97Coastal -0.02 0.07 0.03 0.96

4th storm: 5-10 March 2004

Regional -0.51 0.58 0.41 0.83Coastal -0.08 0.14 0.10 0.91

5th storm: 15-25 April 2004

Regional -0.10 0.13 0.04 0.97Coastal 0.01 0.05 0.02 0.97

0 0.5 1 1.5 2 2.5 3 3.50

0.5

1

1.5

2

2.5

3

3.5

Buoy Hs (m)

Sw

an

Hs

(m

)

Fig. 14. Scatter diagram of recorded vs. SWAN Hs at Tropea. Thestorms considered in the analysis are listed in Tab.3

periods in Fig.16b are scattered, but there is no apparent sys-tematic overprediction

4 Conclusions

This study presents the results of 15 key-studies (5 events310

for each of the three different coastal areas) selected in or-der to determine the reliability of a high-resolution coastalwave forecasting system (MCFS) in the Ligurian, the Cen-

2 3 4 5 6 7 8 9 10 11 120

2

4

6

8

10

12

Buoy Tp (s)

Sw

an

Tp

(s)

Fig. 15. Scatter diagram of recorded vs. SWAN Tp at Tropea. Thestorms considered in the analysis are listed in Tab.3

tral Tyrrhenian and the Southern Tyrrhenian Sea. Althoughthe selected set of episodes does not represent all possible sit-315

uations, we can conclude that when the meteorological fore-casts were accurate the MCFS was able to give satisfactoryresults in complex coastal areas with depths between 13 and50 m. In shallow water the coastal model gave better re-sults than the regional model, mostly due to a more accu-320

rate representation of the bathymetry. This was gratifying asthe primary benefit of the use of the coastal model is that itshould realistically reproduce the effect of shoaling and de-fine more accurately the surf zones. It was observed that thescheme for wind input/whitecapping (Van der Westhyuisen,325

2007), recently introduced into SWAN, performed well in fi-nite and shallow water depth. On the other hand, since thewind input/whitecapping dissipation scheme is very effec-tive in transforming local wind stress into wind wave growth,when the forecasts provide an excessive wind speed in the330

regional and coastal areas this can result in a neat overpre-diction of the peak of the storm. The degree of accuracy ofthe wind field was the principal limit found in the case stud-ies. While the results were satisfying in the Southern Tyrrhe-nian Sea, in the Ligurian and in the Central Tyrrhenian Sea335

some minor events were missed, and the Tp was often over-predicted. In order to deal with rapidly moving storms in theNorthern Tyrrhenian and in the Ligurian Sea, where the di-rection of the wind rotates and storms develop in a matter ofhours, some benefit can be expected from an enhanced res-340

olution of the wind field generated by the LAM. In order togive a better response in the simulation of the turning of thewind, an hourly wind input appears necessary.

Acknowledgements. The authors thank the Port Authority of Ma-rina di Carrara (’Sistema di monitoraggio meteomarino del Porto di345

Carrara’), the Regione Calabria, and ENEL for making their data

Fig. 14. Scatter diagram of buoy recorded vs. SWANHs at Tropea.The storms considered in the analysis are listed in Table3.8 TEXT: TEXT

Table 3. Statistical results for the Tropea storm events

BIAS MAE MSE corr

1st storm: 5-13 October 2003

Regional -0.35 0.35 0.21 0.95Coastal -0.08 0.09 0.04 0.96

2nd storm: 14-21 December 2003

Regional -0.16 0.20 0.07 0.96Coastal 0.02 0.08 0.05 0.96

3rd storm: 19-25 January 2004

Regional -0.22 0.22 0.10 0.97Coastal -0.02 0.07 0.03 0.96

4th storm: 5-10 March 2004

Regional -0.51 0.58 0.41 0.83Coastal -0.08 0.14 0.10 0.91

5th storm: 15-25 April 2004

Regional -0.10 0.13 0.04 0.97Coastal 0.01 0.05 0.02 0.97

0 0.5 1 1.5 2 2.5 3 3.50

0.5

1

1.5

2

2.5

3

3.5

Buoy Hs (m)

Sw

an

Hs (

m)

Fig. 14. Scatter diagram of recorded vs. SWAN Hs at Tropea. Thestorms considered in the analysis are listed in Tab.3

periods in Fig.16b are scattered, but there is no apparent sys-tematic overprediction

4 Conclusions

This study presents the results of 15 key-studies (5 events310

for each of the three different coastal areas) selected in or-der to determine the reliability of a high-resolution coastalwave forecasting system (MCFS) in the Ligurian, the Cen-

2 3 4 5 6 7 8 9 10 11 120

2

4

6

8

10

12

Buoy Tp (s)

Sw

an

Tp

(s)

Fig. 15. Scatter diagram of recorded vs. SWAN Tp at Tropea. Thestorms considered in the analysis are listed in Tab.3

tral Tyrrhenian and the Southern Tyrrhenian Sea. Althoughthe selected set of episodes does not represent all possible sit-315

uations, we can conclude that when the meteorological fore-casts were accurate the MCFS was able to give satisfactoryresults in complex coastal areas with depths between 13 and50 m. In shallow water the coastal model gave better re-sults than the regional model, mostly due to a more accu-320

rate representation of the bathymetry. This was gratifying asthe primary benefit of the use of the coastal model is that itshould realistically reproduce the effect of shoaling and de-fine more accurately the surf zones. It was observed that thescheme for wind input/whitecapping (Van der Westhyuisen,325

2007), recently introduced into SWAN, performed well in fi-nite and shallow water depth. On the other hand, since thewind input/whitecapping dissipation scheme is very effec-tive in transforming local wind stress into wind wave growth,when the forecasts provide an excessive wind speed in the330

regional and coastal areas this can result in a neat overpre-diction of the peak of the storm. The degree of accuracy ofthe wind field was the principal limit found in the case stud-ies. While the results were satisfying in the Southern Tyrrhe-nian Sea, in the Ligurian and in the Central Tyrrhenian Sea335

some minor events were missed, and the Tp was often over-predicted. In order to deal with rapidly moving storms in theNorthern Tyrrhenian and in the Ligurian Sea, where the di-rection of the wind rotates and storms develop in a matter ofhours, some benefit can be expected from an enhanced res-340

olution of the wind field generated by the LAM. In order togive a better response in the simulation of the turning of thewind, an hourly wind input appears necessary.

Acknowledgements. The authors thank the Port Authority of Ma-rina di Carrara (’Sistema di monitoraggio meteomarino del Porto di345

Carrara’), the Regione Calabria, and ENEL for making their data

Fig. 15. Scatter diagram of buoy recorded vs. SWANTp at Tropea.The storms considered in the analysis are listed in Table3.

results than the regional model, mostly due to a more accu-rate representation of the bathymetry. This was gratifying asthe primary benefit of the use of the coastal model is that itshould realistically reproduce the effect of shoaling and de-fine more accurately the surf zones. It was observed that thescheme for wind input/whitecapping (Van der Westhyuisen,2007), recently introduced into SWAN, performed well in fi-nite and shallow water depth. On the other hand, since thewind input/whitecapping dissipation scheme is very effec-tive in transforming local wind stress into wind wave growth,when the forecasts provide an excessive wind speed in theregional and coastal areas, this can result in a neat overpre-diction of the peak of the storm. The degree of accuracy ofthe wind field was the main limit found in the case studies.

Nat. Hazards Earth Syst. Sci., 12, 485–494, 2012 www.nat-hazards-earth-syst-sci.net/12/485/2012/

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R. Inghilesi et al.: Implementation and validation of a coastal forecasting system 493TEXT: TEXT 9

04/10 06/10 08/10 10/10 12/10 14/100

1

2

3

4

H (

m)

Date

(a)

buoy

swan

04/10 06/10 08/10 10/10 12/10 14/100

50

100

150

200

250

300

350

Dir (

de

g N

)

Date

(b)

buoy

swan

04/10 06/10 08/10 10/10 12/10 14/100

5

10

15

Tp

(s)

Date

(c)

buoy

swan

04/10 06/10 08/10 10/10 12/10 14/100

0.5

1

1.5

2

2.5

H (

m)

Date

(d)

total sea

windsea

swell

Fig. 16. Tropea, 5-13 October 2003 storm: (a) comparison of Hs SWAN vs. buoy records. (b) comparison of Tp SWAN vs. buoy records.(c) comparison of Dir SWAN vs. buoy records. (d) WAM series of wind sea, swell and total Hs out of the regional grid.

available. The authors are indebted to Ing. Andrea Valentini ofARPA-ER for his many useful suggestions concerning the use ofSWAN. Our thanks to Sara Morucci of ISPRA for her analysis ofbathymetric data. This study would not have been possible with-350

out the work of Heinz Guenther and Arno Behrens of GKSS whomaintain the parallel version of WAM and kindly made it availableto us. Credits must also be given to the WISE community and inparticular to Luigi Cavaleri and Luciana Bertotti for always beingsupportive and helpful.355

References

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of a limited area model in cases of Mediterranean cyclogenesis:surface fields and precipitation scores., Meteorol. Atmos. Phys.,53, 137–153, 1994.365

Bertotti, L., and Cavaleri, L.: On the influence of resolution on wavemodeled results in the Mediterranean Sea, Il Nuovo Cimento, 29C, n.4 , 2006.

Bertotti, L., and Cavaleri, L.: Large and small scale wave forecast inthe Mediterranean Sea, Nat. Hazards Earth Syst. Sci., 9,779–788,370

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Booij, N., Ris, R.C., Holthuijsen, L.H., A third-generation wavemodel for coastal regions, Jou. Geo. Res., 104, c4, 7649-7666,1999

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errors through ocean wave hind casts., J. Offshore Mech. Arct.Eng., 118, 184-189, 1996.

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Fig. 16. Tropea, 5–13 October 2003 storm:(a) comparison ofHs SWAN vs. buoy records,(b) comparison of Dir SWAN vs. buoy records,(c) comparison ofTp SWAN vs. buoy records,(d) WAM series of wind sea, swell and totalHs out of the regional grid.

While the results were satisfactory in the Southern Tyrrhe-nian Sea, in the Ligurian and in the Central Tyrrhenian Sea,some minor events were missed and theTp was often over-predicted. In order to deal with rapidly moving storms in theNorthern Tyrrhenian and in the Ligurian Sea where the di-rection of the wind rotates and storms develop in a matter ofhours, some benefit can be expected from an enhanced res-olution of the wind field generated by the LAM. In order togive a better response in the simulation of the turning of thewind, an hourly wind input appears necessary.

Acknowledgements.The authors thank the Port Authority of Ma-rina di Carrara (“Sistema di monitoraggio meteomarino del Porto diCarrara”), the Regione Calabria, and ENEL for making their dataavailable. The authors are indebted to Ing. Andrea Valentini ofARPA-ER for his many useful suggestions concerning the use ofSWAN. Our thanks to Sara Morucci of ISPRA for her analysis ofbathymetric data. This study would not have been possible with-out the work of Heinz Guenther and Arno Behrens of GKSS whomaintain the parallel version of WAM and kindly made it availableto us. Credits must also be given to the WISE community and inparticular to Luigi Cavaleri and Luciana Bertotti for always beingsupportive and helpful.

Edited by: K. LagouvardosReviewed by: V. Polnikov and two other anonymous referees

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Nat. Hazards Earth Syst. Sci., 12, 485–494, 2012 www.nat-hazards-earth-syst-sci.net/12/485/2012/