Floating offshore wind at TU Delft

Floating offshore wind at TU Delft

TWIND summer school5 July 2021

Dr. Ir. Axelle Viré[email protected]

mailto:[email protected]

Outline

● Overview of activities● Design of floating turbines and farms● Novel rotors for floating applications● High-fidelity numerical models ● Conclusions

2

3

Axelle Viré George Lavidas Oriol Colomés Xiaoli Jiang Sebastian Schreier

Jan-Willem van Wingerden

Simon Watson

Henk Polinder

Andrei Metrikine

Antonio Jarquin Laguna

Amin Askarinejad FedericoPisanò

Dominic von Terzi

Delphine De Tavernier

Michiel Zaaijer Roland Schmehl

Richard DwightJulie Teuwen

Overview of activities

4

Overview of activities

● Range of ongoing research projects (mostly EU)● Well-established networks● Growing visibility in the area● Close collaboration with NREL (USA)● Partner on a MoU with the Nippon Foundation (Japan)● Floating offshore wind MSc course (2021-2022)

5

Design of floating turbines & farms

● Coordinator of the H2020 ITN project STEP4WIND● Total budget: 2.8m€● April 2020 – March 2024● 10 Industrial PhDs (5 at TU Delft)

6

step4wind.eu


WP1 – Design Develop engineering design tools capable of accounting for dynamic unsteady effects WP2 – Production and deployment Develop novel test and validation methods WP3 – Operation and scalabilityDevelop floating-specific O&M & blue economy activities

7

step4wind.eu


● WP leader on design aspects● Improving engineering models based on high-fidelity● Holistic system engineering

8

step4wind.eu

Spacing Wind climate

Wind climate,

Water climate,

Soil conditions,

Bathymetry

Water climate,

Soil conditions,

Bathymetry

Soil conditions

External activities

Connection point location,

Connection point requirements,

Soil conditions,

External activities

Site location

Site location

Water climate,

Soil conditions

Site location

Water climate

Site location

Water climate

Regulations

Electricity price,

Subsidy scheme

Wind farm

design

Layout,

Turbine modelTurbine model

Site suitabilityWind farm

layout

Turbines

position

Number

of turbines

Number

of turbines

Turbines

positions

Number

of turbines

Number of

turbines

Number of

turbines

Number of

turbines

Number of

turbines

Wake reduced

AEP

Mooring

footprint

Floating substructure

turbine assembly

Turbine

capacity

Turbine

capacity

Turbine

capacity

Turbine

capacity

Floating substructure

turbine assembly design

Towability,

Anchor design,

Mooring design

Towability,

Dynamic cables design,

Mooring design

Towability

Substructure material

Mooring material

Batteries Battery design Flexibility Flexibility

O↵shore

substationSubstation position Substation position

Substation design,

Number of substationsElectrical losses

Infield cablesCables design,

Cables length

HVAC

transmission

HVAC design,

HVAC line lengthElectrical losses

Purchasing and

manufacturingCapEx hardware

Installation CapEx installation

Operation and

maintenanceAvailability OpEx

Decommissioning DecEx

AEP Energy production

Costs Project costs

Profits Cash inflow

Internal Rate of Return Finance


9

Novel rotors for floating applications

● TouchWind Proof-of-Concept: 2.8m€ TKI project● Design of new rotors for floating applications● From engineering tools to CFD● Aerodynamics & Aero-elasticity

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11

● 1.2-meter rotor diameter● Pitch-teeter coupling ● Analysis with BEM and RANS (actuator line)● Coupling with a rigid-body model for the hinge


● VAWT can lower the center of gravity● Wake deflection is possible without loss of frontal area● Insensitive to 2D yaw and 3D wind veer

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13

Novel rotors

14

● RANS CFD with transition model

<latexit sha1_base64="mgE3VVHtVggm723xi7jQXdSxVRc=">AAAB+3icbVDLSsNAFJ3UV62vWJduBovgKiTioxuh4MZlFfuANpbJ9KYdOpmEmYlYQn/FjQtF3Poj7vwbp20W2nrgwuGce7n3niDhTGnX/bYKK6tr6xvFzdLW9s7unr1fbqo4lRQaNOaxbAdEAWcCGpppDu1EAokCDq1gdD31W48gFYvFvR4n4EdkIFjIKNFG6tnlO7hyHQ93NYtAYc99uOjZFddxZ8DLxMtJBeWo9+yvbj+maQRCU06U6nhuov2MSM0oh0mpmypICB2RAXQMFcRs8rPZ7RN8bJQ+DmNpSmg8U39PZCRSahwFpjMieqgWvan4n9dJdVj1MyaSVIOg80VhyrGO8TQI3GcSqOZjQwiVzNyK6ZBIQrWJq2RC8BZfXibNU8c7d9zbs0qtmsdRRIfoCJ0gD12iGrpBddRAFD2hZ/SK3qyJ9WK9Wx/z1oKVzxygP7A+fwAtwJKP</latexit>

Re = 0.1⇥ 106

<latexit sha1_base64="qtUgShBG5V/ZYldIhGZGYfupPMs=">AAAB+XicbVDJSgNBEK2JW4zbqEcvjUHwFGZccxECXjxGMQskY+jp1CRNeha6ewJhyJ948aCIV//Em39jZzlo4oOCx3tVVNXzE8GVdpxvK7eyura+kd8sbG3v7O7Z+wd1FaeSYY3FIpZNnyoUPMKa5lpgM5FIQ19gwx/cTvzGEKXicfSoRwl6Ie1FPOCMaiN1bPsBb85JW/MQFXGdp6uOXXRKzhRkmbhzUoQ5qh37q92NWRpipJmgSrVcJ9FeRqXmTOC40E4VJpQNaA9bhkbUbPKy6eVjcmKULgliaSrSZKr+nshoqNQo9E1nSHVfLXoT8T+vleqg7GU8SlKNEZstClJBdEwmMZAul8i0GBlCmeTmVsL6VFKmTVgFE4K7+PIyqZ+V3MuSc39RrJTnceThCI7hFFy4hgrcQRVqwGAIz/AKb1ZmvVjv1sesNWfNZw7hD6zPH1E3kh8=</latexit>

Re = 3⇥ 106


15

/c

x/c

mem4py

Folkersma et al., J. Physics: Conference Series (2020)

High-fidelity numerical models

● OpenFOAM ○ IEA Task OC6 ○ Airfoil aerodynamics

16Rivera-Arreba et al, J. Offshore Mech. & Arctic Eng. (2019)


● YALES2○ 4th order finite-volume○ 4th order Runge-Kutta time integration○ Massively parallelised○ Mesh adaptation capabilities

17


● YALES2

18

order 1

order 2

order 4

order 1

order 2

order 4

NTNU Blind test

Benard et al., Computers and Fluids (2018)


19

Velocity deficit Turbulent kinetic energy

10°6 10°4 10°2°2.0

°1.5

°1.0

°0.5

0.0

0.5

1.0

1.5

2.0

y/R[°

]

x/D = 1

exp LES order 1 LES order 2 LES order 4

10°6 10°4 10°2

k/U21 [°]

x/D = 3

10°6 10°4 10°2

x/D = 5

order 1 order 2 order 4

°0.2 0.0 0.2 0.4 0.6°2.0

°1.5

°1.0

°0.5

0.0

0.5

1.0

1.5

2.0

y/R[°

]

x/D = 1

exp LES order 1 LES order 2 LES order 4

0.0 0.2 0.4 0.61° U/U1 [°]

x/D = 3

0.0 0.2 0.4

x/D = 5

order 1 order 2 order 4

● YALES2


● Fluidity○ Finite-element discretisation○ Arbitrarily unstructured meshes○ Adaptive mesh refinement○ Immersed-boundary for fluid-structure interactions○ Originally an ocean model, then applied to wind energy

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● Fluidity

21

Air

Water

Fluid-dynamics model Solid-dynamics model

Transfer the solid position

and forcesRepresentation of the solid onto the fluid-dynamics mesh

Solid-dynamics mesh across the solid structure

Transfer the fluid forces

Solve the equations of motion of the fluidson the fluid-dynamics mesh

Solve the equations of motion of the solids on the

solid-dynamics mesh

!

"

#

$

Fluid-dynamics mesh across the entire domain

Mesh adaptivity to refine the solid concentration field

Viré,&Xiang,&Milthaler,&Farrell,&Piggo3,&Latham,&Pavlidis,&Pain,&Ocean&Dyn.&62:1487@1501&(2012)&&

Viré et al., Phil. Trans. R. Soc. A (2015)


22

1. Penalty method2. Lagrange multiplier

⇢@u

@t+ ⇢(ru)u = r� + b+ f

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� = �pI+ µ(ru+ (ru)T )<latexit sha1_base64="+Ag5xtRFZdslCigz6xBTCVOpRZU=">AAACVXicbVFda9swFJXdj3VZP9LucS9iaaGlNNhl0L4USveyvWXQJIU4DdeKnIpKspGuS4Pxn8xL2T/ZS6Fy4sDW7IDgcM69V1dHcSaFxSD47flr6xubH7Y+Nj5t7+zuNfcPejbNDeNdlsrU3MVguRSad1Gg5HeZ4aBiyfvx4/fK7z9xY0Wqb3Ga8aGCiRaJYIBOGjUlrREhf8aiiOJUjhXgw2FkxUTBYVnSK3qWRZUWJ8XPkp7SSOXHkYZYwlLOK7mxnLVintwXt+UJHTVbQTuYg66SsCYtUqMzas6iccpyxTUyCdYOwiDDYQEGBZO8bES55RmwR5jwgaMaFLfDYp5KSY+cMqZJatzRSOfq3x0FKGunKnaV1aL2vVeJ//MGOSaXw0LoLEeu2eKiJJcUU1pFTMfCcIZy6ggwI9yulD2AAYbuIxouhPD9k1dJ77wdBu3w17fW9U0dxxb5Qr6SYxKSC3JNfpAO6RJGZuSP53m+9+K9+uv+5qLU9+qez+Qf+HtvhWuvMg==</latexit><latexit sha1_base64="+Ag5xtRFZdslCigz6xBTCVOpRZU=">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</latexit><latexit sha1_base64="+Ag5xtRFZdslCigz6xBTCVOpRZU=">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</latexit><latexit sha1_base64="+Ag5xtRFZdslCigz6xBTCVOpRZU=">AAACVXicbVFda9swFJXdj3VZP9LucS9iaaGlNNhl0L4USveyvWXQJIU4DdeKnIpKspGuS4Pxn8xL2T/ZS6Fy4sDW7IDgcM69V1dHcSaFxSD47flr6xubH7Y+Nj5t7+zuNfcPejbNDeNdlsrU3MVguRSad1Gg5HeZ4aBiyfvx4/fK7z9xY0Wqb3Ga8aGCiRaJYIBOGjUlrREhf8aiiOJUjhXgw2FkxUTBYVnSK3qWRZUWJ8XPkp7SSOXHkYZYwlLOK7mxnLVintwXt+UJHTVbQTuYg66SsCYtUqMzas6iccpyxTUyCdYOwiDDYQEGBZO8bES55RmwR5jwgaMaFLfDYp5KSY+cMqZJatzRSOfq3x0FKGunKnaV1aL2vVeJ//MGOSaXw0LoLEeu2eKiJJcUU1pFTMfCcIZy6ggwI9yulD2AAYbuIxouhPD9k1dJ77wdBu3w17fW9U0dxxb5Qr6SYxKSC3JNfpAO6RJGZuSP53m+9+K9+uv+5qLU9+qez+Qf+HtvhWuvMg==</latexit>

div u = 0<latexit sha1_base64="dL5v/ZcoHlYPhSyNeNa5+yHpuiM=">AAACBHicbVDLSsNAFJ34rPUVddnNYBFclUQE3QhFNy4r2Ae0oUwmk3bozCTMTAolRHDjr7hxoYhbP8Kdf+MkzUJbDwycOede7r3HjxlV2nG+rZXVtfWNzcpWdXtnd2/fPjjsqCiRmLRxxCLZ85EijArS1lQz0oslQdxnpOtPbnK/OyVS0Ujc61lMPI5GgoYUI22koV0bcKTHkqcBnT5kxccP0ySDV9AZ2nWn4RSAy8QtSR2UaA3tr0EQ4YQToTFDSvVdJ9ZeiqSmmJGsOkgUiRGeoBHpGyoQJ8pLiyMyeGKUAIaRNE9oWKi/O1LElZpx31TmW6pFLxf/8/qJDi+9lIo40UTg+aAwYVBHME8EBlQSrNnMEIQlNbtCPEYSYW1yq5oQ3MWTl0nnrOE6DffuvN68LuOogBo4BqfABRegCW5BC7QBBo/gGbyCN+vJerHerY956YpV9hyBP7A+fwDyl5g/</latexit><latexit sha1_base64="dL5v/ZcoHlYPhSyNeNa5+yHpuiM=">AAACBHicbVDLSsNAFJ34rPUVddnNYBFclUQE3QhFNy4r2Ae0oUwmk3bozCTMTAolRHDjr7hxoYhbP8Kdf+MkzUJbDwycOede7r3HjxlV2nG+rZXVtfWNzcpWdXtnd2/fPjjsqCiRmLRxxCLZ85EijArS1lQz0oslQdxnpOtPbnK/OyVS0Ujc61lMPI5GgoYUI22koV0bcKTHkqcBnT5kxccP0ySDV9AZ2nWn4RSAy8QtSR2UaA3tr0EQ4YQToTFDSvVdJ9ZeiqSmmJGsOkgUiRGeoBHpGyoQJ8pLiyMyeGKUAIaRNE9oWKi/O1LElZpx31TmW6pFLxf/8/qJDi+9lIo40UTg+aAwYVBHME8EBlQSrNnMEIQlNbtCPEYSYW1yq5oQ3MWTl0nnrOE6DffuvN68LuOogBo4BqfABRegCW5BC7QBBo/gGbyCN+vJerHerY956YpV9hyBP7A+fwDyl5g/</latexit><latexit sha1_base64="dL5v/ZcoHlYPhSyNeNa5+yHpuiM=">AAACBHicbVDLSsNAFJ34rPUVddnNYBFclUQE3QhFNy4r2Ae0oUwmk3bozCTMTAolRHDjr7hxoYhbP8Kdf+MkzUJbDwycOede7r3HjxlV2nG+rZXVtfWNzcpWdXtnd2/fPjjsqCiRmLRxxCLZ85EijArS1lQz0oslQdxnpOtPbnK/OyVS0Ujc61lMPI5GgoYUI22koV0bcKTHkqcBnT5kxccP0ySDV9AZ2nWn4RSAy8QtSR2UaA3tr0EQ4YQToTFDSvVdJ9ZeiqSmmJGsOkgUiRGeoBHpGyoQJ8pLiyMyeGKUAIaRNE9oWKi/O1LElZpx31TmW6pFLxf/8/qJDi+9lIo40UTg+aAwYVBHME8EBlQSrNnMEIQlNbtCPEYSYW1yq5oQ3MWTl0nnrOE6DffuvN68LuOogBo4BqfABRegCW5BC7QBBo/gGbyCN+vJerHerY956YpV9hyBP7A+fwDyl5g/</latexit><latexit sha1_base64="dL5v/ZcoHlYPhSyNeNa5+yHpuiM=">AAACBHicbVDLSsNAFJ34rPUVddnNYBFclUQE3QhFNy4r2Ae0oUwmk3bozCTMTAolRHDjr7hxoYhbP8Kdf+MkzUJbDwycOede7r3HjxlV2nG+rZXVtfWNzcpWdXtnd2/fPjjsqCiRmLRxxCLZ85EijArS1lQz0oslQdxnpOtPbnK/OyVS0Ujc61lMPI5GgoYUI22koV0bcKTHkqcBnT5kxccP0ySDV9AZ2nWn4RSAy8QtSR2UaA3tr0EQ4YQToTFDSvVdJ9ZeiqSmmJGsOkgUiRGeoBHpGyoQJ8pLiyMyeGKUAIaRNE9oWKi/O1LElZpx31TmW6pFLxf/8/qJDi+9lIo40UTg+aAwYVBHME8EBlQSrNnMEIQlNbtCPEYSYW1yq5oQ3MWTl0nnrOE6DffuvN68LuOogBo4BqfABRegCW5BC7QBBo/gGbyCN+vJerHerY956YpV9hyBP7A+fwDyl5g/</latexit>

f = �↵s(us � u)<latexit sha1_base64="Jc56IUhhVHaS1I2qxW7iTYtY9ms=">AAACM3icbVDLSsNAFJ34rPVVdelmsAh1YUlE0I1QdCOuKtgHNKHcTCft0MmDmYlQQv7JjT/iQhAXirj1H5ykFW3rgYHDOecy9x434kwq03wxFhaXlldWC2vF9Y3Nre3Szm5ThrEgtEFCHoq2C5JyFtCGYorTdiQo+C6nLXd4lfmteyokC4M7NYqo40M/YB4joLTULd3YPqiB6yVeii+w7VIFNvBoAN0kd4SfyDSt/KTidEo/xr/GUbdUNqtmDjxPrAkpownq3dKT3QtJ7NNAEQ5SdiwzUk4CQjHCaVq0Y0kjIEPo046mAfhUOkl+c4oPtdLDXij0CxTO1b8TCfhSjnxXJ7MV5ayXif95nVh5507CgihWNCDjj7yYYxXirEDcY4ISxUeaABFM74rJAAQQpWsu6hKs2ZPnSfOkaplV6/a0XLuc1FFA++gAVZCFzlANXaM6aiCCHtAzekPvxqPxanwYn+PogjGZ2UNTML6+Af82rPQ=</latexit><latexit sha1_base64="Jc56IUhhVHaS1I2qxW7iTYtY9ms=">AAACM3icbVDLSsNAFJ34rPVVdelmsAh1YUlE0I1QdCOuKtgHNKHcTCft0MmDmYlQQv7JjT/iQhAXirj1H5ykFW3rgYHDOecy9x434kwq03wxFhaXlldWC2vF9Y3Nre3Szm5ThrEgtEFCHoq2C5JyFtCGYorTdiQo+C6nLXd4lfmteyokC4M7NYqo40M/YB4joLTULd3YPqiB6yVeii+w7VIFNvBoAN0kd4SfyDSt/KTidEo/xr/GUbdUNqtmDjxPrAkpownq3dKT3QtJ7NNAEQ5SdiwzUk4CQjHCaVq0Y0kjIEPo046mAfhUOkl+c4oPtdLDXij0CxTO1b8TCfhSjnxXJ7MV5ayXif95nVh5507CgihWNCDjj7yYYxXirEDcY4ISxUeaABFM74rJAAQQpWsu6hKs2ZPnSfOkaplV6/a0XLuc1FFA++gAVZCFzlANXaM6aiCCHtAzekPvxqPxanwYn+PogjGZ2UNTML6+Af82rPQ=</latexit><latexit sha1_base64="Jc56IUhhVHaS1I2qxW7iTYtY9ms=">AAACM3icbVDLSsNAFJ34rPVVdelmsAh1YUlE0I1QdCOuKtgHNKHcTCft0MmDmYlQQv7JjT/iQhAXirj1H5ykFW3rgYHDOecy9x434kwq03wxFhaXlldWC2vF9Y3Nre3Szm5ThrEgtEFCHoq2C5JyFtCGYorTdiQo+C6nLXd4lfmteyokC4M7NYqo40M/YB4joLTULd3YPqiB6yVeii+w7VIFNvBoAN0kd4SfyDSt/KTidEo/xr/GUbdUNqtmDjxPrAkpownq3dKT3QtJ7NNAEQ5SdiwzUk4CQjHCaVq0Y0kjIEPo046mAfhUOkl+c4oPtdLDXij0CxTO1b8TCfhSjnxXJ7MV5ayXif95nVh5507CgihWNCDjj7yYYxXirEDcY4ISxUeaABFM74rJAAQQpWsu6hKs2ZPnSfOkaplV6/a0XLuc1FFA++gAVZCFzlANXaM6aiCCHtAzekPvxqPxanwYn+PogjGZ2UNTML6+Af82rPQ=</latexit><latexit sha1_base64="Jc56IUhhVHaS1I2qxW7iTYtY9ms=">AAACM3icbVDLSsNAFJ34rPVVdelmsAh1YUlE0I1QdCOuKtgHNKHcTCft0MmDmYlQQv7JjT/iQhAXirj1H5ykFW3rgYHDOecy9x434kwq03wxFhaXlldWC2vF9Y3Nre3Szm5ThrEgtEFCHoq2C5JyFtCGYorTdiQo+C6nLXd4lfmteyokC4M7NYqo40M/YB4joLTULd3YPqiB6yVeii+w7VIFNvBoAN0kd4SfyDSt/KTidEo/xr/GUbdUNqtmDjxPrAkpownq3dKT3QtJ7NNAEQ5SdiwzUk4CQjHCaVq0Y0kjIEPo046mAfhUOkl+c4oPtdLDXij0CxTO1b8TCfhSjnxXJ7MV5ayXif95nVh5507CgihWNCDjj7yYYxXirEDcY4ISxUeaABFM74rJAAQQpWsu6hKs2ZPnSfOkaplV6/a0XLuc1FFA++gAVZCFzlANXaM6aiCCHtAzekPvxqPxanwYn+PogjGZ2UNTML6+Af82rPQ=</latexit>

f = ↵s�<latexit sha1_base64="XENhCikhJrKq9CX8kp1ZQL4xvZY=">AAACJHicbVDJSgNBEO2Je9yiHr00RsFTmBFBQYSgF48KRgOZEGp6epImPQvdNWJo5mO8+CtePLjgwYvfYk/Mwe1Bw+O9quqqF2RSaHTdd6cyNT0zOze/UF1cWl5Zra2tX+k0V4y3WCpT1Q5AcykS3kKBkrczxSEOJL8Ohqelf33DlRZpcomjjHdj6CciEgzQSr3akR8DDoLIRAU9pj7IbAA9MxZVbHRR+Mhv0Rg/SGVYqtu+tNND2C6KXq3uNtwx6F/iTUidTHDeq734YcrymCfIJGjd8dwMuwYUCiZ5UfVzzTNgQ+jzjqUJxFx3zfjIgu5YJaRRquxLkI7V7x0GYq1HcWAryz31b68U//M6OUaHXSOSLEeesK+PolxSTGmZGA2F4gzlyBJgSthdKRuAAoY216oNwft98l9ytdfw3IZ3sV9vnkzimCebZIvsEo8ckCY5I+ekRRi5Iw/kiTw7986j8+q8fZVWnEnPBvkB5+MTQHqmaA==</latexit><latexit sha1_base64="XENhCikhJrKq9CX8kp1ZQL4xvZY=">AAACJHicbVDJSgNBEO2Je9yiHr00RsFTmBFBQYSgF48KRgOZEGp6epImPQvdNWJo5mO8+CtePLjgwYvfYk/Mwe1Bw+O9quqqF2RSaHTdd6cyNT0zOze/UF1cWl5Zra2tX+k0V4y3WCpT1Q5AcykS3kKBkrczxSEOJL8Ohqelf33DlRZpcomjjHdj6CciEgzQSr3akR8DDoLIRAU9pj7IbAA9MxZVbHRR+Mhv0Rg/SGVYqtu+tNND2C6KXq3uNtwx6F/iTUidTHDeq734YcrymCfIJGjd8dwMuwYUCiZ5UfVzzTNgQ+jzjqUJxFx3zfjIgu5YJaRRquxLkI7V7x0GYq1HcWAryz31b68U//M6OUaHXSOSLEeesK+PolxSTGmZGA2F4gzlyBJgSthdKRuAAoY216oNwft98l9ytdfw3IZ3sV9vnkzimCebZIvsEo8ckCY5I+ekRRi5Iw/kiTw7986j8+q8fZVWnEnPBvkB5+MTQHqmaA==</latexit><latexit sha1_base64="XENhCikhJrKq9CX8kp1ZQL4xvZY=">AAACJHicbVDJSgNBEO2Je9yiHr00RsFTmBFBQYSgF48KRgOZEGp6epImPQvdNWJo5mO8+CtePLjgwYvfYk/Mwe1Bw+O9quqqF2RSaHTdd6cyNT0zOze/UF1cWl5Zra2tX+k0V4y3WCpT1Q5AcykS3kKBkrczxSEOJL8Ohqelf33DlRZpcomjjHdj6CciEgzQSr3akR8DDoLIRAU9pj7IbAA9MxZVbHRR+Mhv0Rg/SGVYqtu+tNND2C6KXq3uNtwx6F/iTUidTHDeq734YcrymCfIJGjd8dwMuwYUCiZ5UfVzzTNgQ+jzjqUJxFx3zfjIgu5YJaRRquxLkI7V7x0GYq1HcWAryz31b68U//M6OUaHXSOSLEeesK+PolxSTGmZGA2F4gzlyBJgSthdKRuAAoY216oNwft98l9ytdfw3IZ3sV9vnkzimCebZIvsEo8ckCY5I+ekRRi5Iw/kiTw7986j8+q8fZVWnEnPBvkB5+MTQHqmaA==</latexit><latexit sha1_base64="XENhCikhJrKq9CX8kp1ZQL4xvZY=">AAACJHicbVDJSgNBEO2Je9yiHr00RsFTmBFBQYSgF48KRgOZEGp6epImPQvdNWJo5mO8+CtePLjgwYvfYk/Mwe1Bw+O9quqqF2RSaHTdd6cyNT0zOze/UF1cWl5Zra2tX+k0V4y3WCpT1Q5AcykS3kKBkrczxSEOJL8Ohqelf33DlRZpcomjjHdj6CciEgzQSr3akR8DDoLIRAU9pj7IbAA9MxZVbHRR+Mhv0Rg/SGVYqtu+tNND2C6KXq3uNtwx6F/iTUidTHDeq734YcrymCfIJGjd8dwMuwYUCiZ5UfVzzTNgQ+jzjqUJxFx3zfjIgu5YJaRRquxLkI7V7x0GYq1HcWAryz31b68U//M6OUaHXSOSLEeesK+PolxSTGmZGA2F4gzlyBJgSthdKRuAAoY216oNwft98l9ytdfw3IZ3sV9vnkzimCebZIvsEo8ckCY5I+ekRRi5Iw/kiTw7986j8+q8fZVWnEnPBvkB5+MTQHqmaA==</latexit>

Z

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Brandsen et al., Engineering Computations (2020)


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Solid concentration

Pressure test functions

Solid test functions

Fluid test functions

Weighted test functions limit the domain in which corresponding governing equations act

Krishnan et al., Computers and Fluids (2020)


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8 9 10 11 12

ï0.5

0

0.5

1

t/Tp

η/Asum

8 9 10 11 12

ï0.5

0

0.5

1

t/Tp

η/Asum

CFDSecond-order solution

Asumkp = 0.018 Asumkp = 0.09

Mid-fidelity numerical models

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● Free-wake vortex ring model○ Analysis of the different states of a floating turbine

Dong et al., Energies (2019)

And a lot more…

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Conclusions

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● Broad set of skills and disciplines on floating wind at TU Delft

● Range of modelling tools, from high-fidelity to engineering models and system engineering approaches

● Range of experimental facilities

Thank you for your attention

Dr. Ir. Axelle Viré[email protected]

mailto:[email protected]

Floating offshore wind at TU Delft

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