DSD-INT 2014 - Symposium Next Generation Hydro Software (NGHS) - Verification of Storm Tide...
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Transcript of DSD-INT 2014 - Symposium Next Generation Hydro Software (NGHS) - Verification of Storm Tide...
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Storm Surges ValidationThe State-of-the-Play for D-Flow FM
watermotion.eu — waterbeweging.nl
Giordano Lipari
5.11.2014
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Watermotion.eu — Expertise, Services, Products
Consultancy
Dissemination
Marketing
Research
Simulations Data Analysis
ReviewingCapacity Building
DataInformation
Knowledge
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Watermotion.eu — Expertise, Services, Products
Consultancy
Dissemination
Marketing
Research
Simulations Data Analysis
ReviewingCapacity Building
DataInformation
Knowledge
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Watermotion.eu — Expertise, Services, Products
Consultancy
Dissemination
Marketing
Research
Simulations Data Analysis
ReviewingCapacity Building
DataInformation
Knowledge
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Watermotion.eu — Expertise, Services, Products
Consultancy
Dissemination
Marketing
Research
Simulations Data Analysis
ReviewingCapacity Building
DataInformation
Knowledge
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
Hydrodynamics on All Fours
Hydrodynamics calculation
analytical
numerical
contextknowledge
measurements
physics
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
Words of CautionTrifle-worship, belief in answers, connectionism, black box mistake, methodolatry, dead-fishfallacy, Jehovah problem
bit.ly/7defects (publisher)bit.ly/find7defects (Google search)
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
“Man is the measure of all things”Crosby Beach, UK. ’Another Place’ by Antony Gormley
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
“Man is the measure of all things”Crosby Beach, UK. ’Another Place’ by Antony Gormley
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
“Man is the measure of all things”Crosby Beach, UK. ’Another Place’ by Antony Gormley
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
“Man is the measure of all things”Crosby Beach, UK. ’Another Place’ by Antony Gormley
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-effect relations
I Raison d’etre of equations
I Delft3D, D-Flow FMShallow-water (depth-averaged,long-wave) equations
I Water: Forces → Motion → Forces→ ...
I Validation of a choiceI Solving the right equations...I and/or choosing the right
interpretation?
Solutions from computationAnalytical solutions
I exact (absolute credibility)
I restrictive assumptions
I limited applicability
I results easy to interpret
Numerical solutions
I approximate (conditional credibility)
I flexible scope, wide applicability
I results harder to interpret
Verification of a procedure
I Are we solving the equations right?
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-effect relations
I Raison d’etre of equations
I Delft3D, D-Flow FMShallow-water (depth-averaged,long-wave) equations
I Water: Forces → Motion → Forces→ ...
I Validation of a choiceI Solving the right equations...I and/or choosing the right
interpretation?
Solutions from computationAnalytical solutions
I exact (absolute credibility)
I restrictive assumptions
I limited applicability
I results easy to interpret
Numerical solutions
I approximate (conditional credibility)
I flexible scope, wide applicability
I results harder to interpret
Verification of a procedure
I Are we solving the equations right?
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-effect relations
I Raison d’etre of equations
I Delft3D, D-Flow FMShallow-water (depth-averaged,long-wave) equations
I Water: Forces → Motion → Forces→ ...
I Validation of a choiceI Solving the right equations...I and/or choosing the right
interpretation?
Solutions from computationAnalytical solutions
I exact (absolute credibility)
I restrictive assumptions
I limited applicability
I results easy to interpret
Numerical solutions
I approximate (conditional credibility)
I flexible scope, wide applicability
I results harder to interpret
Verification of a procedure
I Are we solving the equations right?
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
As many approaches as facetsNever forget realityEquations from Physics, Solutions from Mathematics
Physics and Computations
Equations from physics
I Trustworthy cause-effect relations
I Raison d’etre of equations
I Delft3D, D-Flow FMShallow-water (depth-averaged,long-wave) equations
I Water: Forces → Motion → Forces→ ...
I Validation of a choiceI Solving the right equations...I and/or choosing the right
interpretation?
Solutions from computationAnalytical solutions
I exact (absolute credibility)
I restrictive assumptions
I limited applicability
I results easy to interpret
Numerical solutions
I approximate (conditional credibility)
I flexible scope, wide applicability
I results harder to interpret
Verification of a procedure
I Are we solving the equations right?
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Space — Size — Contour — Forces — Response?How to build an exact and useful model
L
B
DD
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Space — Size — Contour — Forces — Response?How to build an exact and useful model
L
B
D
D
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Space — Size — Contour — Forces — Response?How to build an exact and useful model
L
B
D
D
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Space — Size — Contour — Forces — Response?How to build an exact and useful model
L
B
DD
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Space — Size — Contour — Forces — Response?How to build an exact and useful model
L
B
DD
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Harbour of IJmuidenA look-alike
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Numerical models can be objectively testedBooks and journals
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Exact water-level and currents driven by the windOn a longitudinal transect (marked orange)
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Building a modelThe message of the benchmarks
Exact water-level and currents driven by the windSide view on the longitudinal cross section. Blue = water level. Green = velocity
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Solving the right equations rightTesting correctness in D-Flow FM
Hydrodynamics calculation
analytical
numerical
contextknowledge
measurements
physics
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Computational gridDelta Shell: observation points and cross sections
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Water-level history. Map viewW=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non linear terms turned offThe darker the shade, the deeper the water
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Water-level history. Downwind location (inundation)W=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non linear terms turned off.Blue line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
0.0
0.5
1.0
1.5
2.0
e/E {E
=F0
*L/(g
H)=0.06
4 m}
History water level at x/L=5000.0/5000 [ST3d]
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Water-level history. Mid-basin locationW=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non-linear terms turned off.Blue line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.2
0.0
0.2
0.4
0.6
0.8
1.0
e/E
{E=
F0*L
/(gH)
=0.
064
m}
History water level at x/L=2500.0/5000 [ST3d]
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Water-level history. First-quarter upwind locationW=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non-linear terms turned off.Blue line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.1
0.0
0.1
0.2
0.3
0.4
0.5
e/E
{E=
F0*L
/(gH)
=0.
064
m}
History water level at x/L=1250.0/5000 [ST3d]
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Velocity history. Map viewW=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non linear terms turned offRed shades: net flow in. Blue shades: net flow out. White: zero net flow
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Velocity history. Upwind location (open boundary)W=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non-linear terms turned off.Green line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−1.0
−0.5
0.0
0.5
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 — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Velocity history. Mid-basin locationW=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non-linear terms turned off.Green line: D-Flow FM. Green line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.6
−0.4
−0.2
0.0
0.2
0.4
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 — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Velocity history. Third-quarter downwind locationW=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 5 s. Non-linear terms turned off.Blue line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.3
−0.2
−0.1
0.0
0.1
0.2
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 — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Introducing a bit of challengeA meander-like grid (but there’s no meander). Skewed grid and flow.
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Water-level history. Mid-basin locationSkewed flow and grid ... Non-linear terms turned-off.Blue line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.2
0.0
0.2
0.4
0.6
0.8
1.0
1.2
e/E
{E=
F0*L
/(gH)
=0.
064
m}
History water level at x/L=2500.0/5000 [ST3h]
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Velocity history. Mid-basin locationSkewed flow and grid ... Non-linear terms turned-off.Green line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.6
−0.4
−0.2
0.0
0.2
0.4
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 — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Time-step sensitivityIncreasing the time step from a sound 5 s to 30 s
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Water-level history. Mid-basin locationTime-step sensitivity. W=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 30 s.Blue line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.2
0.0
0.2
0.4
0.6
0.8
1.0
e/E
{E=
F0*L
/(gH)
=0.
064
m}
History water level at x/L=2500.0/5000 [ST3g]
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Solving the right equations rightComparison with close match of assumptions and settingsThe grid challengeTime-stepping
Velocity history. Mid-basin locationTime-step sensitivity. W=25 m/s; h0 = 10m/s; λ = 10−3 m/s; ∆t = 30 s.Green line: D-Flow FM. Red line: exact solution
0.0 0.2 0.4 0.6 0.8 1.0t/T {T=21600.0 s}
−0.6
−0.4
−0.2
0.0
0.2
0.4
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 — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
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 flows
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
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 flows
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
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 flows
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
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 flows
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Thanks and Credits
Deltares staff (they did dare to share!):Arthur van Dam, Edward Melger, Herman Kernkamp, Sander vander PijlFlickr contributors: Beverley Goodwin, Chris Saxman, Terry Kerney
PNG/Tikz community for graphics templates
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play
Watermotion.euHydrodyamics before Equations
The Help from Analytical SolutionsSolving the right equations right
Summing up
Thanks for your attentionHope this has been been useful
www.watermotion.eu
www.waterbeweging.nl
watermotion.eu — waterbeweging.nl Storm Surges Validation for D-Flow FM: the State of the Play