MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION
description
Transcript of MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION
![Page 1: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/1.jpg)
MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20131
Patrick Corbitt Kerr, P.E.JJ Westerink, RC Martyr, ME Hope
University of Notre Dame
![Page 2: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/2.jpg)
usSEABED: GoM Offshore Surficial Sediment Database
2
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20132
![Page 3: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/3.jpg)
3
TIDES
Ike (2008)
CURRENT
CURRENT
ENERGY
ENERGY
![Page 4: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/4.jpg)
Effect of Chezy-Type Bottom Friction
4
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20134
![Page 5: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/5.jpg)
Part IWave Bottom Friction
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20135
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?
![Page 6: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/6.jpg)
Wave Bottom FrictionFriction Formulations
6
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 20136
Variable Bottom Material
JONSWAP Formulation
Bottom Friction in SWAN
Recommend by Literature
Muddy Bottom?
Madsen Formulation
Based on Manning’s n
![Page 7: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/7.jpg)
A
CB
![Page 8: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/8.jpg)
D
GE
![Page 9: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/9.jpg)
H
JI
![Page 10: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/10.jpg)
Wave Bottom FrictionSummary of Findings
10
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201310
• 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.
![Page 11: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/11.jpg)
Part IIComponent Contributions
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201311
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?
![Page 12: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/12.jpg)
Contribution of Non-Linear Advection
OVERALL
TEMPORAL
![Page 13: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/13.jpg)
Contribution of Wave Radiation Stress
OVERALL
TEMPORAL
![Page 14: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/14.jpg)
Component ContributionsScaling Ike at 5 Locations
14
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201314
• 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
HHHHg
pgf
t
Mτττuuu
u bwaves,winds,
0000
0
![Page 15: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/15.jpg)
LOCATION 1
Significant Terms:PressureSurface
LocalCoriolis
![Page 16: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/16.jpg)
LOCATION 2
Major Terms:Local
CoriolisPressureSurface
Moderate Terms:Advection
Wind
![Page 17: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/17.jpg)
LOCATION 3
Significant Terms:SurfaceWind
BottomCoriolis
LocalAdvection
![Page 18: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/18.jpg)
LOCATION 4
Significant Terms:SurfaceWind
AdvectionWave
BottomCoriolis
![Page 19: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/19.jpg)
LOCATION 5
Significant Terms:BottomSurfaceWind
![Page 20: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/20.jpg)
Component ContributionsSummary of Findings
20
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201320
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.
![Page 21: MODEL RESPONSE SENSITIVITY TO WAVES, NONLINEAR ADVECTION, AND BOTTOM FRICTION](https://reader035.fdocuments.us/reader035/viewer/2022062500/56815753550346895dc4f90b/html5/thumbnails/21.jpg)
QUESTIONS
21
Patrick C. Kerr17th ADCIRC WORKSHOP
April 29-30, 201321