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Taylor Asher March 25, 2019 credit: Mike Groll, AP
2019/03/25 2
https://www.nhc.noaa.gov/surge
2019/03/25 3
Shallow water eqs.
• (x,y,t)
• (u,v,η)
• Nonlin, 2nd order,
inhomogeneous,
coupled PDEs in rotating
reference frame
• 10-10,000 core-hours for
typical simulation
2
2
0
e H
e
x
H y
Du
fv g u
Dt x
Dv
fu g v
Dt y
h hu hv
t x y







     


     

  
  
  
William Pringle &
Keith Roberts
U. Notre Dame
2019/03/25 4
2019/03/25 5
2019/03/25 6
https://www.nhc.noaa.gov/surge
2
2
e H
e
x
H y
Du
fv g u
Dt x
Dv
fu g v
Dt y







     


     

• AEP annual (surge) exceedance probability
• c vector of storm parameters, usually 5-10
• η surge elevation
2019/03/25 7
     AEP |p P d  c
c c c
1. Select parameters c
2. Calculate p(c) from historical data
3. Run simulations
4. Solve
2019/03/25 8
     AEP |p P d  c
c c c
1. Simulate climate
2. Extract, downscale relevant TCs
3. Run simulations
4. Solve
2019/03/25 9
0
20
40
60
80
100
120
140
160
870 920 970 1020
Radiusofmaxwinds(km)
central pressure (mb)
     AEP |p P d  c
c c c
2019/03/25 10
Nadal-
Caraballo
2017
2019/03/25 11
2019/03/25 12
bit.ly/2Otqs44
2019/03/25 13
bit.ly/2Otqs44
2019/03/25 14
2019/03/25 15
2019/03/25 16
2019/03/25 17
• Nadal-Caraballo, Norberto (2017). Quantification of
Uncertainty in Probabilistic Storm Surge Models. 3nd
Annual Probabilistic Flood Hazard Assessment
Workshop, Rockville, MD – December 4-5, 2017.
• Toro, G.R., 2008. Joint probability analysis of hurricane
flood hazards for Mississippi. Risk Engineering, Inc.
2019/03/25 18

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MUMS: Coupling Uncertain Geophysical Hazards Workshop: Coastal Flooding Uncertainty, Attribution, and Communication - Taylor Asher, March 25, 2019

Editor's Notes

  1. $10 B/yr 1900-2005, but 2006-2018 has been 2x-3x that
  2. This is kinda what it looks like It’s messy, complicated We can’t/don’t model most of what you’re seeing Clever physics to simplify problem Spectral waves, wave action conservation (form of energy) Difficult to get at parameterization effects
  3. Brief overview of math, for those not interested, here’s a video of Cyclone Idai that recently devastated Mozambique (~1k dead) 3 eqs. (continuity + horiz. momentum), 3 indep vars, 3 unknowns RANS eqs., Boussinesq, incompressible 2D, depth-integrated horizontal momentum equations and continuity (mass conservation) equation u and v horizontal velocities, x and y horizontal coordinates, t time Variables: f the Coriolis parameter (the Earth spins so we’re in a rotating reference frame) h depth, g gravity, eta water elevation, nu an “effective” (eddy) viscosity term tau represents various stress terms for effects like bottom drag (frictional dissipation) and surface drag (wind stress)
  4. In spite of simplifications, things work well
  5. rare events means you’re data-starved, and don’t know what you’re missing until it pops up. if the world is too complicated to think of all the ways you might fuck up, then you’re always going to be estimating your error based on the ways you’ve fucked up so far, which means you’ll always been over-confident in how accurate you are... [Talk about issues of identifiability, use Ike example]
  6. But there’s only 40-160 yrs of data
  7. But GCMs aren’t that great
  8. Bottom curve is global climate model-based
  9. H. Katrina single vs. double distrib
  10. H. Sandy flooded subways and basements http://www.photofromtheworld.com/img/Photo/Event/Natural%20Disaster/2012%20Hurricane%20Sandy/Bowling%20Green%20subway%20station%20in%20Battery%20Park%20in%20New%20York%20on%20October%2030,%202012.jpg
  11. Me late to SAMSI http://www.photofromtheworld.com/img/Photo/Event/Natural%20Disaster/2012%20Hurricane%20Sandy/Bowling%20Green%20subway%20station%20in%20Battery%20Park%20in%20New%20York%20on%20October%2030,%202012.jpg
  12. Florence 10 days out – a big storm might hit somewhere “ 5 days – a big storm will hit somewhere
  13. Florence 10 days out – a big storm might hit somewhere “ 5 days – a big storm will hit somewhere
  14. Florence 10 days out – a big storm might hit somewhere “ 5 days – a big storm will hit somewhere