model response sensitivity to waves, nonlinear advection, and bottom friction
DESCRIPTION
MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION. Patrick Corbitt Kerr, P.E. University of Notre Dame. Patrick C. Kerr 17 th ADCIRC WORKSHOP April 29-30, 2013. Part I Wave Bottom Friction. - PowerPoint PPT PresentationTRANSCRIPT
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MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20131
Patrick Corbitt Kerr, P.E.University of Notre Dame
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Part IWave Bottom Friction
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20132
If circulation models are sensitive to bottom friction on the Louisiana-Texas shelf, what is the sensitivity of wave
models to bottom friction formulation in that region?
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Wave Bottom FrictionFriction Formulations
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Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20133
Variable Bottom Material
JONSWAP Formulation
Bottom Friction in SWAN
Recommend by Literature
Muddy Bottom?
Madsen Formulation
Based on Manning’s n
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A
CB
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D
GE
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H
JI
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Wave Bottom FrictionSummary of Findings
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Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20137
• Model Response Sensitivity to Wave Bottom Friction Formulation– Madsen and JONSWAP formulations are both adequate– The JONSWAP friction coefficient is sensitive to bottom type,
therefore a Cjfon=0.019m2s-3 should be used for the muddy LATEX shelf.
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Part IIComponent Contributions
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20138
What is the spatial and temporal contributions of wave radiation stress and non-linear advection terms in a
hurricane storm surge model and how do these processes compare with the other components of the
shallow water equations?
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Contribution of Non-Linear Advection
OVERALL
TEMPORAL
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Contribution of Wave Radiation Stress
OVERALL
TEMPORAL
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Component ContributionsScaling Ike at 5 Locations
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Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201311
• Local• Non-Linear Advection• Coriolis• Surface Gradient• Atmospheric Pressure• Tidal Potential Gradient• Wind Stress• Wave Radiation Stress Gradient• Bottom Friction• Diffusion (Momentum) Terms
DBR
s
W
s
TP
s
ZCAL
HHHHgpgf
tMτττ
uuuu bwaves,winds,
0000
0
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LOCATION 1
Significant Terms:PressureSurface
LocalCoriolis
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LOCATION 2
Major Terms:Local
CoriolisPressureSurface
Moderate Terms:Advection
Wind
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LOCATION 3
Significant Terms:SurfaceWind
BottomCoriolis
LocalAdvection
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LOCATION 4
Significant Terms:SurfaceWind
AdvectionWave
BottomCoriolis
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LOCATION 5
Significant Terms:BottomSurfaceWind
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Component ContributionsSummary of Findings
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Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201317
Galveston, TX• Component Contributions for Hurricane Ike (2008)– Non-linear advection captures 10-
20cm of geostrophic setup and increases resonant waves by 30-40cm.
– Wave radiation stress adds 20-40cm to maximum water levels and is responsible for an earlier rise in water levels.
– Bottom Friction and Coriolis were significant components in the development of Ike’s Forerunner.
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QUESTIONS
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Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201318