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Delft Software Days, November 5th 2014 
Global tide and storm-surge model 
with Delft3D Flexible Mesh 
Martin.verlaan@deltares.nl
DSD November 5th 2014 
Outline 
• Motivation 
• Grid development 
• Required physical processes 
• Calibration 
• Some results 
• Ongoing work and challenges
New surge & tide model – DCSMv6 
DCSM-v5 DCSM-v6 
1/8º x 1/12º 1/40º x 1/60º 
3 
Includes tidal potential 
Zijl et. Al. 2013 & Slobbe et. al. 2013
Effect of sealevel rise on tides 
Effect of 2 meter rise of MSL on M2 amplitude 
4 
Pickering et. al. 2013 
OTIS-MPI
Existing global tide models 
DSD November 5th 2014 
M2
First attempt of grid in Delft3D 
→ Lack of resolution near coasts. 
DSD November 5th 2014
Grid in Dflow-FM 
Unstructured approach - step 1: grid thinning at high latitudes 
DSD November 5th 2014
Unstructured approach - step 2: grid refinement in shallow areas 
8 
Grid in Dflow-FM 
This Dflow-FM grid uses triangles and rectangles 
for local grid refinement. Resolution is based on Courant number.
First results in Dflow-FM
Necessary improvements 
• Self attraction and loading 
• Tides modify the gravity potential as well 
• Computation is very time-consuming 
• Start wit simple approximation 
• Internal tides 
• Tides create internal tide 
where there is stratification 
and steep bathymetry 
• This creates dissipation 
(roughly ¼ of total tidal 
dissipation on global scale) 
∂ρ 
∂ z Depends on stratification 
DSD November 5th 2014 
f x=β g ∂ h 
∂ x 
N=√−g 
ρ0
Modified equations 
Gravity potential 
DSD November 5th 2014 
r 
α 
Re 
R 
Conservation of momentum 
∂u 
+u ∂u 
+v ∂ u 
+g ∂h−ζ−βh 
∂t 
∂ x 
∂ y 
∂ x 
−f v+ gu √u2+v2 
C2 H 
+ α κ N d2 √ω2−f 2 
2ω H 
u=0 
∂ v 
∂t 
+u ∂ v 
∂ x 
+v ∂ v 
∂ y 
+ g ∂ h−ζ−βh 
∂ y 
+f u+ g v √u2+v2 
C2 H 
+ α κ N d2 √ω2−f 2 
2ω H 
v=0 
ζ 
1. tidal forcing 
2. SAL 
3. dissipation by internal tides
Calibration of the Model 
FES2012 
DSD November 5th 2014 
Altimeter observations: 
- assimilated FES2012 gridded data 
- very accurate on deep water 
Automated calibration: 
- 21 parameters 
- deep water series Jan2007 
Calibration parameters: 
- Depth & Friction 
- 7 regions
Calibration results for deep water 
Region Before After 
Arctic 5.1 cm 3.2 cm 
N. Atlantic 9.4 7.4 
S. Atlantic 12.1 8.4 
N. Pacific 8.1 6.2 
S. Pacific 11.2 7.3 
Indian Ocean 11.7 8.2 
S. Ocean 12.4 10.2 
Total 10.2 7.4 
DSD November 5th 2014
Sample deep water station 
DSD November 5th 2014 
Before calibration
Sample deep water station 
DSD November 5th 2014 
After calibration
Sample coastal time-series 
Cordova Honolulu 
Tide 
Surge 
DSD November 5th 2014
Ongoing work and challenges 
• Ongoing work: 
• Operational global storm-surge model (ID-Lab) 
• Climate impact studies (cooperation with VU and EU-RISES) 
• Modeling Self-Attraction and Loading 
• Challenges: 
• Further improve dissipation by internal tides 
• Improve computational performance with parallel computing 
• Link to real-time observations 
• Hurricane forecasts 
• Improve open-boundary conditions for regional models 
DSD November 5th 2014
Questions?
Grid Arctic
Grid North America
Grid South-East Asia
Grid Northern Europe

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DSD-INT 2014 - Symposium Next Generation Hydro Software (NGHS) - Global tide model, Martin Verlaan, Deltares

  • 1. Delft Software Days, November 5th 2014 Global tide and storm-surge model with Delft3D Flexible Mesh Martin.verlaan@deltares.nl
  • 2. DSD November 5th 2014 Outline • Motivation • Grid development • Required physical processes • Calibration • Some results • Ongoing work and challenges
  • 3. New surge & tide model – DCSMv6 DCSM-v5 DCSM-v6 1/8º x 1/12º 1/40º x 1/60º 3 Includes tidal potential Zijl et. Al. 2013 & Slobbe et. al. 2013
  • 4. Effect of sealevel rise on tides Effect of 2 meter rise of MSL on M2 amplitude 4 Pickering et. al. 2013 OTIS-MPI
  • 5. Existing global tide models DSD November 5th 2014 M2
  • 6. First attempt of grid in Delft3D → Lack of resolution near coasts. DSD November 5th 2014
  • 7. Grid in Dflow-FM Unstructured approach - step 1: grid thinning at high latitudes DSD November 5th 2014
  • 8. Unstructured approach - step 2: grid refinement in shallow areas 8 Grid in Dflow-FM This Dflow-FM grid uses triangles and rectangles for local grid refinement. Resolution is based on Courant number.
  • 9. First results in Dflow-FM
  • 10. Necessary improvements • Self attraction and loading • Tides modify the gravity potential as well • Computation is very time-consuming • Start wit simple approximation • Internal tides • Tides create internal tide where there is stratification and steep bathymetry • This creates dissipation (roughly ¼ of total tidal dissipation on global scale) ∂ρ ∂ z Depends on stratification DSD November 5th 2014 f x=β g ∂ h ∂ x N=√−g ρ0
  • 11. Modified equations Gravity potential DSD November 5th 2014 r α Re R Conservation of momentum ∂u +u ∂u +v ∂ u +g ∂h−ζ−βh ∂t ∂ x ∂ y ∂ x −f v+ gu √u2+v2 C2 H + α κ N d2 √ω2−f 2 2ω H u=0 ∂ v ∂t +u ∂ v ∂ x +v ∂ v ∂ y + g ∂ h−ζ−βh ∂ y +f u+ g v √u2+v2 C2 H + α κ N d2 √ω2−f 2 2ω H v=0 ζ 1. tidal forcing 2. SAL 3. dissipation by internal tides
  • 12. Calibration of the Model FES2012 DSD November 5th 2014 Altimeter observations: - assimilated FES2012 gridded data - very accurate on deep water Automated calibration: - 21 parameters - deep water series Jan2007 Calibration parameters: - Depth & Friction - 7 regions
  • 13. Calibration results for deep water Region Before After Arctic 5.1 cm 3.2 cm N. Atlantic 9.4 7.4 S. Atlantic 12.1 8.4 N. Pacific 8.1 6.2 S. Pacific 11.2 7.3 Indian Ocean 11.7 8.2 S. Ocean 12.4 10.2 Total 10.2 7.4 DSD November 5th 2014
  • 14. Sample deep water station DSD November 5th 2014 Before calibration
  • 15. Sample deep water station DSD November 5th 2014 After calibration
  • 16. Sample coastal time-series Cordova Honolulu Tide Surge DSD November 5th 2014
  • 17. Ongoing work and challenges • Ongoing work: • Operational global storm-surge model (ID-Lab) • Climate impact studies (cooperation with VU and EU-RISES) • Modeling Self-Attraction and Loading • Challenges: • Further improve dissipation by internal tides • Improve computational performance with parallel computing • Link to real-time observations • Hurricane forecasts • Improve open-boundary conditions for regional models DSD November 5th 2014