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    Modelling the MEXICO Wind Tunnel with CFD

    Pierre-Elouan Rthor Niels N. Srensen Helge A. [email protected] [email protected] [email protected]

    Wind Energy Division Ris DTU

    MexNext Meeting

    Forth Heraklion Crete 1-2/7/10

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    Outline

    1 IntroductionBackground

    The tunnel

    2 MeshingCAT fileMesh design

    3 Actuator Disc Model

    4 Early resultsConvergence issuesSteady state k-Unsteady DES

    5 ConclusionSummaryFuture work

    1 of 26 Rthor et al.Ris [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    Introduction

    Outline

    1 IntroductionBackground

    The tunnel

    2 MeshingCAT fileMesh design

    3 Actuator Disc Model

    4 Early resultsConvergence issuesSteady state k-Unsteady DES

    5 ConclusionSummaryFuture work

    2 of 26 Rthor et al.Ris [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    IntroductionBackground

    Questions surrounding the tunnel effect

    Does the recirculation region affects the wake measurements?

    Does the wind turbine blockage effect affects the wind speed

    measurements?Is the wind turbine affected by the wind tunnel?

    How far downstream can we measure the wake?

    Is there some unsteady effects?

    2 of 26 Rthor et al.Ris [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    Spoiler:

    I wont answer any ofthese questions!

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    IntroductionThe tunnel

    In Real Life

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    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    Meshing

    Outline

    1 Introduction

    BackgroundThe tunnel

    2 MeshingCAT fileMesh design

    3 Actuator Disc Model

    4 Early resultsConvergence issuesSteady state k-Unsteady DES

    5 ConclusionSummaryFuture work

    5 of 26 Rthor et al.Ris [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    MeshingCAT file

    Perspective view

    The nozzle and collector shapes are not available (confidential).

    We made up some streamlined designs.

    5 of 26 Rthor et al.Ris [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    MeshingCAT file

    Top & Side view

    Neglected in the mesh:The two fundamentsWind turbine hubWind turbine towerWall roughnessThe small people waving

    hands

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    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    MeshingMesh design

    Top & Side view

    The inlet and outlet are extended to avoid boundary issues.

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    MEXICO Wind Tunnel CFD Model 1-2/7/10

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    MeshingMesh design

    Perspective view

    We use a slip boundary condition at the surface (zero gradient).This reduces dramatically the number of cells necessary, but it

    is done at the expense of the boundary layer description.

    8 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

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    MeshingMesh design

    Top view - Close up

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    MeshingMesh design

    Internal Meshing Concept

    The flow solver we use EllipSys is a structured multiblockformulation. It is very fast to solve but makes complexgeometries difficult to mesh.

    The collector was the most difficult part. Especially themodellisation of the hole and the lips.

    10 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    M hi

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    MeshingMesh design

    Collector details

    This part could have been so much more elegant with anunstructured flow solver!

    11 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    M hi

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    MeshingMesh design

    On the meaning of life while meshing

    12 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    M hi

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    MeshingMesh design

    On the meaning of life while meshing

    Nietzsche

    It is only as an aesthetic

    phenomenon that life and existence

    are eternally justified The Birth of Tragedy (1872)

    => Existence and the world becomemeaningful not as objects of knowledge butas artistic experience.

    12 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

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    Actuator Disc Model

    Outline

    1 Introduction

    BackgroundThe tunnel

    2 MeshingCAT fileMesh design

    3 Actuator Disc Model

    4 Early resultsConvergence issuesSteady state k-Unsteady DES

    5 ConclusionSummaryFuture work

    13 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

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    Actuator Disc Model

    Force Distribution

    The forces can be obtained fromdifferent sources

    MeasurementsBlade Element Method (BEM)Basic actuator disc theoryFull rotor computation in CFD

    The force history of a rotor revolution is

    smeared over a polar grid

    The contribution of each polar gridelements is added proportionally to theintersectional area with thecomputational mesh

    The final force can be used directly orscaled using the local velocity:

    F = 12

    ACD(U n)2

    13 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

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    Actuator Disc Model

    Wake rotation

    The tangential forces create the wake rotation (visible throughthe stream-ribbons twisting).

    In the present results the force distribution are found from a fullrotor computation of a Nortank 500 kW turbine. They arenormalized with the inflow velocities and the thrust coefficient.

    14 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    E l l

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    Early results

    Outline

    1 Introduction

    BackgroundThe tunnel

    2 MeshingCAT fileMesh design

    3 Actuator Disc Model

    4 Early resultsConvergence issuesSteady state k-Unsteady DES

    5 ConclusionSummaryFuture work

    15 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    Early results

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    Early resultsConvergence issues

    Residuals convergence

    Resid

    uals

    log10

    (|xi-1-

    xi|/|x

    i|)[-

    ]

    Iterations [-]

    The velocity and pressure residuals only converge to|xi xi1|/|xi| = 10

    2 (we usually prefer |xi xi1|/|xi| < 106).

    This can indicate a poor mesh design or physical instabilities.

    15 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    Early results

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    Early resultsConvergence issues

    Disc velocity convergence

    Discv e

    locity[m/s]

    Iterations [-]

    However, the velocity integrated over the disc reaches aconstant value.

    This shows that the inflow velocity is relatively steady.

    16 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    Early results

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    Early resultsSteady state k-

    Different wind speeds & same CT= 0.77

    All the velocities collapse completely.CT is the only parameter.

    17 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    10 4.07 1.77 0 2.98 6.03 10

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    Centerline x/D []

    Uvelocity

    U/U

    in

    []

    Velocity centerline z/D=0.25

    Disc u=1.0m/sDisc u=2.0m/s

    Disc u=3.0m/s

    Disc u=4.0m/s

    Disc u=5.0m/s

    Disc u=6.0m/s

    Disc u=7.0m/s

    Disc u=8.0m/s

    Disc u=9.0m/s

    Early results

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    Early resultsSteady state k-

    All cases with same loading (CT= 0.77)

    10 4.07 1.77 0 2.98 6.03 10

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    Centerline x/D []

    UvelocityU/Uin[]

    Velocity centerline z/D=0.45

    Tunnel & DiscTunnel & No disc

    No tunnel & DiscTunnel (No Hole) & Disc

    10 4.07 1.77 0 2.98 6.03 10

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    Centerline x/D []

    Uvelocity

    U/Uin

    []

    Velocity centerline z/D=0.33

    Tunnel & DiscTunnel & No disc

    No tunnel & DiscTunnel (No Hole) & Disc

    constant velocity in the jet section with no disc.

    Increase bump in the nozzle.Relatively good agreement between the wind tunnel / no wind

    tunnel case for x/ D [1, 1.3].

    Little difference between hole / no hole cases for x/D > 1.3.

    18 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    Early results

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    Early resultsSteady state k-

    All cases with same loading (CT= 0.77)

    10 4.07 1.77 0 2.98 6.03 10

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    Centerline x/D []

    Uvelocity

    U/Uin[]

    Velocity centerline z/D=0.45

    Tunnel & DiscTunnel & No discNo tunnel & DiscTunnel (No Hole) & Disc

    10 4.07 1.77 0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    Centerline

    UvelocityU/Uin

    []

    Velocity cent

    Tunnel & DiscTunnel & No discNo tunnel & DiscTunnel (No Hole) & Disc

    18 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    Early results

    http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/http://goback/
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    ySteady state k-

    All cases with same loading (CT= 0.77)

    18 of 26 Rthor et al.Ris DTU [email protected] Wind Tunnel CFD Model 1-2/7/10

    Early results

    http://goback/
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    ySteady state k-

    All cases with same loading (CT= 0.77)

    10 4.07 1.77 0 2.98 6.03 10

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    Centerline x/D []

    UvelocityU/Uin[]

    Velocity centerline z/D=0.45

    Tunnel & DiscTunnel & No disc

    No tunnel & DiscTunnel (No Hole) & Disc

    10 4.07 1.77 0 2.98 6.03 10

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    1.4

    1.6

    Centerline x/D []

    Uvelocity

    U/Uin

    []

    Velocity centerline z/D=0.33

    Tunnel & DiscTunnel & No disc

    No tunnel & DiscTunnel (No Hole) & Disc

    constant velocity in the jet section with no disc.

    Increase bump in the nozzle.Relatively good agreement between the wind tunnel / no wind

    tunnel case for x/ D [1, 1.3].

    Little difference between hole / no hole cases for x/D > 1.3.

    18 of 26 Rthor et al.Ris [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

    Early results

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    ySteady state k-

    Vorticity contour

    Instability region at the jet interface.

    Rapid contraction of the wake width due to the collector.

    19 of 26Rthor et al.Ris DTU

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    Early results

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    Steady state k-

    Axial velocity along cross sections

    The upstream profiles look the same.

    20 of 26Rthor et al.Ris DTU

    [email protected] Wind Tunnel CFD Model 1-2/7/10

    2 1 0 1 20.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    Cross section z/D []

    Uvelocity

    U/U

    in

    []

    Velocity cross section x/D=1

    Tunnel & Disc

    Tunnel & No disc

    No tunnel & Disc

    Tunnel (No Hole) & Disc

    Early resultsd k

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    Steady state k-

    Axial velocity along cross sections

    The profiles start to change around 1.4D1.5D.

    20 of 26Rthor et al.Ris DTU

    [email protected] Wind Tunnel CFD Model 1-2/7/10

    2 1 0 1 20.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    Cross section z/D []

    Uvelocity

    U/U

    in

    []

    Velocity cross section x/D=1

    Tunnel & Disc

    Tunnel & No disc

    No tunnel & Disc

    Tunnel (No Hole) & Disc

    Early resultsSt d t t k

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    Steady state k-

    Axial velocity along cross sections

    the central part of the wake is more detailed in the wind tunnelmesh than in the no wind tunnel mesh.

    20 of 26Rthor et al.Ris DTU

    [email protected] Wind Tunnel CFD Model 1-2/7/10

    2 1 0 1 20.2

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    Cross section z/D []

    Uvelocity

    U/U

    in

    []

    Velocity cross section x/D=1

    Tunnel & Disc

    Tunnel & No disc

    No tunnel & Disc

    Tunnel (No Hole) & Disc

    Early resultsU t d DES

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    Unsteady DES

    Axial velocity contour

    Unsteady region at the jet interface.Recirculation.Wake oscillation.

    21 of 26Rthor et al.Ris DTU

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    Conclusion

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    Outline

    1 Introduction

    BackgroundThe tunnel

    2 MeshingCAT fileMesh design

    3 Actuator Disc Model

    4 Early resultsConvergence issuesSteady state k-Unsteady DES

    5 ConclusionSummaryFuture work

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    [email protected] Wind Tunnel CFD Model 1-2/7/10

    ConclusionSummary

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    Summary

    What have we learned so far?

    On meshing:

    It would be nice to have the exact geometry of the nozzle.Meshing wind tunnel in block structured mesh can be very slowand painful.

    Unstructured mesh can be a good idea.Reading Nietzsche helps (but consume it with moderation!).

    23 of 26Rthor et al.Ris DTU

    [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

    ConclusionSummary

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    Summary

    What have we learned so far?

    On meshing:

    It would be nice to have the exact geometry of the nozzle.Meshing wind tunnel in block structured mesh can be very slowand painful.

    Unstructured mesh can be a good idea.Reading Nietzsche helps (but consume it with moderation!).

    On open-jet wind tunnels:

    It generates unsteady oscillations at the interface that impacts the

    wake structure.The jet should be much wider than the turbine.The collector has a big impact on the wake region (x > 1.3D). It is

    not clear yet if the wake measurements are compromised.The hole does not seem to have an important effect on the

    recirculation.

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    Rthor et al.

    Ris DTU

    [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

    ConclusionFuture work

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    Future work

    What is next?

    Full rotor computation (overset grid & parallel).

    Linking the actuator disc with an aerodynamic code (e.g.HAWC2, FLEX5).

    Actuator line.

    Comparison with the measurements.

    Refined Nozzle.

    Modelling other bluff bodies (Hub, Tower, Fundaments, smallpeople waving hands)?

    . . . Other ideas?

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    Rthor et al.

    Ris DTU

    [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10

    Questions & Suggestions

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    Thank you for your attention!

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    Rthor et al.

    Ris DTU

    [email protected]

    MEXICO Wind Tunnel CFD Model 1-2/7/10