376
SchoolofUniversityofSaoPaulowascommissioned
to evaluate, in a composite mathematical and scale
model (Fig. 2), the morphological impacts of the
trainingwalls,consideringthenauticalpurposesand
a compatible solution for the shore protection
structures.
Thegoalinthispaperistopresentthefirstresults
of two conceptual projects solution, considering the
nautical purposes as mandatory, but also trying to
find a compatible solution for the shore protection
structures.
2 MATERIALANDMETHODS
2.1 StudyArea
SantosCityislocatedintheSouthernBrazilianlittoral
and constantly faces negative impacts with storm
surge events and
consequent inundation of coastal
areaanderosionduetowaveactionandsealevelrise.
ThemostcriticalareainthisbeachiscalledPontada
Praia,locatedintheeasternendofthisbeach.Itisa
residentialareawhereislocatedtheAvenueSaldanha
da Gama, and is near
the maritime entrance to the
PortofSantos(Fig.1).Atechnicalanalysishasbeen
developedbyAlfredinietal.(2013)whodiscussesthe
possible causes of this event and explains the
situationagainstsealevelrise.
Figure1.Locationmapofstudyareaandobservationpoints
P1,P2,P3andP4(dots).
The data set was obtained with an ADCP gauge
fromSantosPilot(2016),locatedinpointP2(seeFig.
1). Two conceptual projects solutions were studied:
the construction of training walls and a segmented
breakwaterstructure(Fig.3).
2.2 NumericalModellingDescription
Theeffectivenessandefficiencyofthecitedstructures
were analyzed
using numerical modeling. Delft3D
numericalmodel(DELTARES,2014),FlowandWave
modules, was used in the present study with the
application of complete formulations for shallow
water equation finite‐difference calculation, the
hydrostatic hypothesis and the Boussinesq
approximation. The Boussinesqapproximationstates
that,ifdensityvariationsaresmall, the density
may
be assumed constant in all terms except the
gravitationalterm(Broomans,2003).
AccordingtoChatzirodou&Karunarathna(2014),
Delft3D is a finite difference code that solves the
Navier‐Stokes equations under the Boussinesq and
shallowwaterassumptions,in2Dor3Ddimensions.
For a 3D flow simulation, the system of
equations
thenreads:
dU dV
S
tx y
(1)
2
0
11
xx x V
UUUU u
UV fV PFM
txyh h
(2)
2
0
11
yy y V
VVVV
UV fU PFM
txyh h
(3)
where f is the Coriolis parameter; U and V are the
horizontal velocities in x and y directions;ωis the
verticalvelocityinrelationtoσcoordinates;F
x,Fyare
the horizontal Reynold’s stresses; ν
V is the vertical
eddy viscosity; P
x, Py are the horizontal pressure
termsapproximatedby the Boussinesq assumptions;
M
x, My are external forces added as source or sink
terms in the momentum equations (2), (3); ρ
0 is the
reference density; S represents the contributions per
unitareaduetothedischargeorwithdrawalofwater,
evaporationandprecipitation;ζisthewaterlevel;dis
thewaterdepthinrelationtoareferencelevelandhis
thetotalwaterdepth(h =ζ+d).
Delft3D‐
Flow module grid includes São Vicente
Estuary,SantosEstuaryandBertiogaWaterway,with
59096elements.Thegridresolutioninthestudyarea
has15x15manditwasusedonelayerinthevertical
direction.
Basedonwaterlevelandwatercurrentfielddata
(Santos Pilots, 2016) was possible to calibrate
and
validate the mathematical model. Boundary
conditions, as wave height and direction, wind
velocityanddirection were obtainedwiththeaid of
theWAVEWATCHIII
®
modeldevelopedbyNational
Oceanic and Atmospheric Administration, National
WeatherService,NationalCentersforEnvironmental
PredictionandMarineModelingandAnalysisBranch
(NOAA/NWS/NCEP/MMAB,2016).
Data analysis was based on the variation due to
the presence of the structures in wave significant
height and direction and current intensity and
direction. The
period simulated started on June 17
th
,2012 and finishedon July 15
th
,2012. Itincludes the
stormeventofJune20
th
,whichgeneratedwaveswith
significanthigherthan2,5minpoint P1 (Fig1).The
scenariossimulatedweredefinedas:
S1‐No Structure: current situation, without any
structure;
S2‐Trainingwalls: futuresituationin long‐term,
withnauticalpurposes;