The document discusses validating numerical models like D-Flow FM by comparing their solutions to analytical solutions of hydrodynamic equations. It presents a test case of simulating wind-driven water levels and currents in a rectangular basin using D-Flow FM and comparing the results to exact analytical solutions for the same setup. The comparison shows good agreement when the numerical model settings closely match the assumptions of the analytical solution.

1. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Storm Surges Validation
The State-of-the-Play for D-Flow FM
watermotion.eu j waterbeweging.nl
Giordano Lipari
for the Delft Software Days 2014
at Deltares, Delft (the Netherlands)
5.11.2014
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

2. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Watermotion.eu | Expertise, Services, Products
Registered in the Chamber of Commerce in The Netherlands under no. 6105 8998
Consultancy
Dissemination
Marketing
Research

3. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Watermotion.eu | Expertise, Services, Products
Registered in the Chamber of Commerce in The Netherlands under no. 6105 8998
Consultancy
Dissemination
Marketing
Research
Simulations Data Analysis
Capacity Building Reviewing

4. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Watermotion.eu | Expertise, Services, Products
Registered in the Chamber of Commerce in The Netherlands under no. 6105 8998
Consultancy
Dissemination
Marketing
Research
Simulations Data Analysis
Capacity Building Reviewing
Information Data
Knowledge

5. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Watermotion.eu | Expertise, Services, Products
Registered in the Chamber of Commerce in The Netherlands under no. 6105 8998
Consultancy
Dissemination
Marketing
Research
Simulations Data Analysis
Capacity Building Reviewing
Information Data
Knowledge
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

6. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Hydrodynamics on All Fours
Hydrodynamics calculation
analytical
numerical
context
knowledge
measurements
physics
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

7. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Words of Caution
Tri
e-worship, belief in answers, connectionism, black box mistake, methodolatry, dead-

8. sh
fallacy, Jehovah problem
bit.ly/7defects (publisher)
bit.ly/

9. nd7defects (Google search)
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

10. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Man is the measure of all things"
Crosby Beach, UK. 'Another Place' by Antony Gormley
Statues against windmills
Image from Flickr: thanks Chris Saxman
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

11. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Man is the measure of all things"
Crosby Beach, UK. 'Another Place' by Antony Gormley
Statues with promenade banister
Image from Flickr: thanks Delibell
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

12. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Man is the measure of all things"
Crosby Beach, UK. 'Another Place' by Antony Gormley
Promenade banister, storm, statues
Image from Flickr: thanks Terry Kerney
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

13. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Man is the measure of all things"
Crosby Beach, UK. 'Another Place' by Antony Gormley
Storm on the promenade
Image from Flickr: thanks Beverley Goodwin
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

14. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-eect relations
I Raison d'^etre of equations
I Delft3D, D-Flow FM
Shallow-water (depth-averaged,
long-wave) equations
I Water: Forces ! Motion ! Forces
! ...
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

15. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-eect relations
I Raison d'^etre of equations
I Delft3D, D-Flow FM
Shallow-water (depth-averaged,
long-wave) equations
I Water: Forces ! Motion ! Forces
! ...
I Validation of a choice
I Solving the right equations...
I and/or choosing the right
interpretation?
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

16. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-eect relations
I Raison d'^etre of equations
I Delft3D, D-Flow FM
Shallow-water (depth-averaged,
long-wave) equations
I Water: Forces ! Motion ! Forces
! ...
I Validation of a choice
I Solving the right equations...
I and/or choosing the right
interpretation?
Solutions from computation
Analytical solutions
I exact (absolute credibility)
I restrictive assumptions
I limited applicability
I results easy to interpret
Numerical solutions
I approximate (conditional credibility)
I
exible scope, wide applicability
I results harder to interpret
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

17. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
As many approaches as facets
Never forget reality
Equations from physics, solutions from mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-eect relations
I Raison d'^etre of equations
I Delft3D, D-Flow FM
Shallow-water (depth-averaged,
long-wave) equations
I Water: Forces ! Motion ! Forces
! ...
I Validation of a choice
I Solving the right equations...
I and/or choosing the right
interpretation?
Solutions from computation
Analytical solutions
I exact (absolute credibility)
I restrictive assumptions
I limited applicability
I results easy to interpret
Numerical solutions
I approximate (conditional credibility)
I
exible scope, wide applicability
I results harder to interpret
Veri

18. cation of a procedure
I Are we solving the equations right?
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

19. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Space | Size | Contour | Forces | Response?
How to build an exact and useful model

20. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Space | Size | Contour | Forces | Response?
How to build an exact and useful model
L
B
D

21. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Space | Size | Contour | Forces | Response?
How to build an exact and useful model
L
B
D

22. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Space | Size | Contour | Forces | Response?
How to build an exact and useful model
L
B
D

23. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Space | Size | Contour | Forces | Response?
How to build an exact and useful model
L
B
D
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

24. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Harbour of IJmuiden
A look-alike
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

25. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Numerical models can be objectively tested
Books and journals
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

26. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Exact water-level and currents driven by the wind
On a longitudinal transect (marked orange)
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

27. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Building a model
The message of the benchmarks
Exact water-level and currents driven by the wind
Side view on the longitudinal cross section. Blue = water level. Green = velocity
2
1
0
−1
−2
E=F0*L/(gH)
U=F0*L/H(gH)^½
0.109
0.0
Profiles | t/T=1/360 [min] ; H= 10 m W= 25.0 m/s
0.0 0.2 0.4 0.6 0.8 1.0
x/L {L=5000 m}
e/E, u/U {E=0.064 m, U=0.063 m/s
0.109
0.0
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

28. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Solving the right equations right
Testing correctness in D-Flow FM
Hydrodynamics calculation
analytical
numerical
context
knowledge
measurements
physics
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

29. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Computational grid
Delta Shell: observation points and cross sections
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

30. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Water-level history. Map view
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non linear terms turned o
The darker the shade, the deeper the water
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

31. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Water-level history. Downwind location (inundation)
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non linear terms turned o.
Blue line: D-Flow FM. Red line: exact solution
2.0
1.5
1.0
0.5
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
0.0
e/E {E=F0*L/(gH)=0.064 m}
History water level at x/L=5000.0/5000 [ST3d]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

32. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Water-level history. Mid-basin location
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non-linear terms turned o.
Blue line: D-Flow FM. Red line: exact solution
1.0
0.8
0.6
0.4
0.2
0.0
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.2
e/E {E=F0*L/(gH)=0.064 m}
History water level at x/L=2500.0/5000 [ST3d]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

33. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Water-level history. First-quarter upwind location
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non-linear terms turned o.
Blue line: D-Flow FM. Red line: exact solution
0.5
0.4
0.3
0.2
0.1
0.0
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.1
e/E {E=F0*L/(gH)=0.064 m}
History water level at x/L=1250.0/5000 [ST3d]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

34. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Velocity history. Map view
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non linear terms turned o
Red shades: net
ow in. Blue shades: net
ow out. White: zero net
ow
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

35. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Velocity history. Upwind location (open boundary)
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non-linear terms turned o.
Green line: D-Flow FM. Red line: exact solution
1.0
0.5
0.0
−0.5
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−1.0
q/Q {Q=F0*L/(gH)^½=0.631 m²/s}
History depth-averaged velocity at x/L=0.0/5000 [ST3d]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

36. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Velocity history. Mid-basin location
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non-linear terms turned o.
Green line: D-Flow FM. Green line: exact solution
0.6
0.4
0.2
0.0
−0.2
−0.4
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.6
q/Q {Q=F0*L/(gH)^½=0.631 m²/s}
History depth-averaged velocity at x/L=2500.0/5000 [ST3d]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

37. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Velocity history. Third-quarter downwind location
W=25 m/s; h0 = 10m/s; = 103 m/s; t = 5 s. Non-linear terms turned o.
Blue line: D-Flow FM. Red line: exact solution
0.3
0.2
0.1
0.0
−0.1
−0.2
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.3
q/Q {Q=F0*L/(gH)^½=0.631 m²/s}
History depth-averaged velocity at x/L=3750.0/5000 [ST3d]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

38. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Introducing a bit of challenge
A meander-like grid (but there's no meander). Skewed grid and
ow.
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

39. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Water-level history. Mid-basin location
Skewed
ow and grid ... Non-linear terms turned o.
Blue line: D-Flow FM. Red line: exact solution
1.2
1.0
0.8
0.6
0.4
0.2
0.0
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.2
e/E {E=F0*L/(gH)=0.064 m}
History water level at x/L=2500.0/5000 [ST3h]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

40. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Velocity history. Mid-basin location
Skewed
ow and grid ... Non-linear terms turned o.
Green line: D-Flow FM. Red line: exact solution
0.6
0.4
0.2
0.0
−0.2
−0.4
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.6
q/Q {Q=F0*L/(gH)^½=0.631 m²/s}
History depth-averaged velocity at x/L=2500.0/5000 [ST3h]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

41. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Time-step sensitivity
Increasing the time step from a sound 5 s to 30 s
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

42. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Water-level history. Mid-basin location
Time-step sensitivity. W=25 m/s; h0 = 10m/s; = 103 m/s; t = 30 s.
Blue line: D-Flow FM. Red line: exact solution
1.0
0.8
0.6
0.4
0.2
0.0
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.2
e/E {E=F0*L/(gH)=0.064 m}
History water level at x/L=2500.0/5000 [ST3g]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

43. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Solving the right equations right
Comparison with close match of assumptions and settings
The grid challenge
Time-stepping
Velocity history. Mid-basin location
Time-step sensitivity. W=25 m/s; h0 = 10m/s; = 103 m/s; t = 30 s.
Green line: D-Flow FM. Red line: exact solution
0.6
0.4
0.2
0.0
−0.2
−0.4
0.0 0.2 0.4 0.6 0.8 1.0
t/T {T=21600.0 s}
−0.6
q/Q {Q=F0*L/(gH)^½=0.631 m²/s}
History depth-averaged velocity at x/L=2500.0/5000 [ST3g]
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

44. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
State of the Play: Hop Jump Spring
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

45. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
State of the Play: Hop Jump Spring
I Solving the right equations Solving the equations right
I Analytical solutions Exact credibility at the cost of limited scope
I Numerical methods All options can be guaged against a reference
I Storm surges Unsteady long waves. The more accurate the better
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

46. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
State of the Play: Hop Jump Spring
I Solving the right equations Solving the equations right
I Analytical solutions Exact credibility at the cost of limited scope
I Numerical methods All options can be guaged against a reference
I Storm surges Unsteady long waves. The more accurate the better
I D-Flow FM simulates the velocity and water level oscillations well
I Source code can be made compliant to benchmarks (transparency)
I Follow good modelling practices to avoid inaccuracy (expectedly)
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

47. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
State of the Play: Hop Jump Spring
I Solving the right equations Solving the equations right
I Analytical solutions Exact credibility at the cost of limited scope
I Numerical methods All options can be guaged against a reference
I Storm surges Unsteady long waves. The more accurate the better
I D-Flow FM simulates the velocity and water level oscillations well
I Source code can be made compliant to benchmarks (transparency)
I Follow good modelling practices to avoid inaccuracy (expectedly)
I Now Leveraging more information from the current test case
I Soon Comparison with Delft3D
I Then Test cases for similar wind-driven
ows
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

48. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Thanks and Credits
Deltares sta (they did dare to share!):
Arthur van Dam, Edward Melger, Herman Kernkamp, Sander van
der Pijl
Flickr contributors: Beverley Goodwin, Chris Saxman, Delibel, Terry Kerney
PNG/Tikz community for graphics templates
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play

49. Watermotion.eu
Hydrodynamics before Equations
The Help from Analytical Solutions
Solving the Right Equations Right
Summing up
Thanks and Credits
Thanks for your attention
Hope this has been been useful
watermotion.eu j waterbeweging.nl
@hydrodynamics
watermotion.eu j waterbeweging.nl Storm Tides Validation for D-Flow FM: the State of the Play