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Near-field Pressure Signature Prediction by JAXA Hiroaki ISHIKAWA (ASIRI) Yoshikazu MAKINO (JAXA) Atsushi UENO (JAXA) Yohei KASUGA (University of Tokyo)

Near-field Pressure Signature Prediction by JAXA...Near-field Pressure Signature Prediction by JAXA Hiroaki ISHIKAWA (ASIRI) Yoshikazu MAKINO (JAXA) Atsushi UENO (JAXA) Yohei KASUGA

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  • Near-field Pressure Signature Prediction

    by JAXA

    Hiroaki ISHIKAWA (ASIRI)

    Yoshikazu MAKINO (JAXA)

    Atsushi UENO (JAXA)

    Yohei KASUGA (University of Tokyo)

  • Outline

    I. Summary of cases analyzed

    II. Flow solver / Computing platform Flow solver (TAS)

    Computing platform : JSS2

    III. JWB Design method and Wind tunnel test schedule

    Flow solver convergence

    Limiter function

    Results

    IV. AXIE

    V. C25D

    VI. Comparison AXIE, JWB, C25D

    VII. Conclusion

  • Summary of cases analyzed

    Model Providor viscousity meshmixed 2.56 2 1.6 1.28 1

    tetrahedra 2.56 2 1.6 1.28 1jwb SBPW inviscid tetrahedra 1 0.83 0.7

    mixed 2 1.6 1.28 1 0.8 0.64tetrahedra 2 1.6 1.28 1 0.8

    Grid Spacing(Resolution)

    axie

    c25d-flowthru

    SBPW

    SBPW

    inviscid

    inviscid

    axie

    C25D

    JWB

    Propagation (optional) analysis are carried out for above cases.

  • Flow solver/Computing Platform

    Solver TAS

    Tohoku university Aerodynamic Simulation

    developer Tohoku university & JAXA

    Mesh Unstructured mesh

    cell-vertex finite volume

    discretization scheme HLLEW

    spatial accuracy 2nd order

    limiter function Venkatakrishnan

    time integration LU-SGS implicit method

    Equation Euler

    CFD solver

    Computing PlatformJSS2 SORA-MA- JAXA Supercomputer System generation 2

    - Fujitsu Supercomputer PRIMEHPC FX100

    - Architecture: Scalar machine

    - Processor Type = SPARC64 Xlfx (32 cores/node)

    - Nodes/System = 3,240 nodes

    - Memory/Node = 32GiB

    - Memory/System = 101.25TiB

    - Peak Performance = 3.495 PFLOPS

    3-400 processors x 2-3.5h for SBPW2

    Propagation(Optional) Xnoise : Burgers equation MPnoise : Multi-pole method

    Boom metre : Loudness estimation

    Details will be presented by Knamori

    (tommrrow).

  • JWB

    viscousity meshinviscid tetrahedra 1 0.83 0.7

    Grid Spacing(Resolution)

  • JAXA Wing Body (JWB) designed

    • Step 1; Equivalent area (AE) based optimization– Euler analysis to evaluate lift component of equivalent area.

    – Free-form deformation (FFD) to optimize body shape.

    • Step 2; Reversed equivalent area (AE,r) based optimization– Euler analysis to evaluate near-field pressure distribution.

    – Multi-pole analysis to consider pressure propagation in circumferential direction.

    AE_lift

    AE_volume

    pole08

    pole12pole16

    pole20pole24Input

    -20 0 20 40 60 80 100-0.04

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    Multi-pole analysisEuler analysis

    Euler analysis

    AE

    AE,r

  • JAXA Wing Body (JWB) designed

    0 4 8 12 16 20 24 28 32 36 40

    1

    2

    3

    4

    • Optimization of body shape to meet NASA 25D

    – Wing was fixed. AE optimized shape

    FFD

    Euler analysis

    End

    No

    Yes

    Yes

    NoMeet target

    AE,r?

    Multipole analysis

    AE,r

    Meet target

    AE_body?

    Target AE_body

    Target AE,r

    Xs [m]

    Re

    ve

    rse

    d e

    qu

    iva

    len

    t a

    rea

    [m

    2]

    NASA 25DTarget AE_body

    Initial AE_body

    Initial shape

    Designed shape

  • JAXA Wing Body (JWB) designed

    0 4 8 12 16 20 24 28 32 36 40

    1

    2

    3

    4

    5

    Boom signature at ground

    Time [ms]

    Ove

    rpre

    ssu

    re (

    RF

    =1.9

    ) [p

    sf]

    h=15,760m

    Equivalent area

    Xs [m]

    Re

    ve

    rse

    d e

    qu

    iva

    len

    t a

    rea

    [m

    2]

    75.1 PLdB; NASA 25D

    84.7 PLdB; AE optimized

    78.9 PLdB; AE,r optimized

    -20 0 20 40 60 80 100 120 140-0.4

    -0.3

    -0.2

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

  • Wind tunnel test

    Wind Tunnel Testing will be held in 2 weeks.

  • -0.006

    -0.003

    0

    0.003

    0.006

    -10 0 10 20 30 40 50 60 70 80

    DP

    /Pin

    f

    X(m)

    10003000500070009000

    H/L=2.55, f=0deg

    -0.012

    -0.008

    -0.004

    0

    0.004

    0.008

    0.012

    -10 0 10 20 30 40 50 60 70 80

    DP

    /Pin

    f

    X(m)

    10003000500070009000

    H/L=0.85, f=0deg

    0.90

    0.92

    0.94

    0.96

    0.98

    1.00

    1.02

    1.04

    1.E-13

    1.E-11

    1.E-09

    1.E-07

    1.E-05

    1.E-03

    1.E-01

    1.E+01

    0 1000 2000 3000 4000 5000 6000 7000 8000 9000 10000

    D/D

    fin

    al

    Re

    sid

    ua

    l

    Iteration

    Residual

    D/Dfinal

    Flow solver convergence

    9000

    converged

    7000-9000

    converged

  • Limiter Function

    Venkatakrishnan limiter (AIAA 93-080)

    DDDD

    DDDD

    D

    222

    222

    2/12

    21

    i

    32 D K

    where is an average grid size and K is a constant (limiter factor).D

    Low

    High

    High

    Low

    K Stability Accuracy Provided data

    1 JWB

    0.1

    0.01 C25D

    0.001 AXIE

    Limiter factor, K

  • Limiter Function

    K=1.0 0.1 0.01 0.001

    Different

  • Limiter Function :K=1.0

  • Limiter Function :K=0.1

  • Limiter Function :K=0.01

  • Limiter Function :K=0.001

  • Limiter Function

    K=0.001K=0.01K=0.1K=1

    -0.006

    -0.004

    -0.002

    0

    0.002

    0.004

    0.006

    -20 0 20 40 60 80 100

    DP

    /Pin

    f

    X(m)

    K=0.001

    K=0.01

    K=0.1

    K=1

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    Time, msec

    K=0.001

    K=0.01

    K=0.1

    K=175

    76

    77

    78

    79

    80

    81

    0.001 0.01 0.1 1

    SP

    L, P

    Ld

    B

    Limiter factor: K

    Near Field (H/L=2.55)

    Ground Signature Loudness

    Front shocks same

    Aft shocks different

    K=0.001 blunt

    K=1 is sharp and same as K=0.1

    K=1 is used for JWB simulation.

  • Near field

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50 60

    DP

    /Pin

    f

    X(m)

    100

    083

    070

    H/L=0.85, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50 60

    DP

    /Pin

    f

    X(m)

    100

    083

    070

    H/L=0.85, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50 60

    DP

    /Pin

    f

    X(m)

    100

    083

    070

    H/L=0.85, f=50deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50 60

    DP

    /Pin

    f

    X(m)

    100

    083

    070

    H/L=2.55, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50 60

    DP

    /Pin

    f

    X(m)

    100

    083

    070

    H/L=2.55, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50 60

    DP

    /Pin

    f

    X(m)

    100

    083

    070

    H/L=2.55, f=50deg

    Grid dependency is not observed among 100 – 070.

    f=0 1020

    30

    H/L

    =2

    .55

    H/L

    =0

    .85

  • -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    H/L=0.85

    H/L=2.55

    070, f=10deg

    Ground & Loundness

    100083070

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150D

    P, P

    a

    X(m)

    100

    083

    070

    H/L=0.85, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    100

    083

    070

    H/L=0.85, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    100

    083

    070

    H/L=0.85, f=50deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    100

    083

    070

    H/L=2.55, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    100

    083

    070

    H/L=2.55, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    100

    083

    070

    H/L=2.55, f=50deg

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    100, H/L=0.85 083, H/L=0.85 070, H/L=0.85

    100, H/L=2.55 083, H/L=2.55 070, H/L=2.55

    Ground Signature

    Loudness

    f=0 1020

    30

    H/L

    =2

    .55

    H/L

    =0

    .85

  • AXIE

    Model Providor viscousity mesh

    mixed 2.56 2 1.6 1.28 1

    tetrahedra 2.56 2 1.6 1.28 1

    Grid Spacing(Resolution)

    axie SBPW inviscid

  • Limiter Factor, K=0.1

    Oscillations

  • Limiter Factor, K=0.05

    Oscillations

  • Limiter Factor, K=0.01

  • Limiter Factor, K=0.001

    Oscillations disappear.

    K=0.001 is used for AXIE.

  • axie-inv-mixed-256, K=0.1

    Provided mesh

    Better for TAS code

    TAS code is sensitive for mesh quality.

    C25D viscous and powered could not be solved using provided grid from SBPW2.

  • Near Field Propagation

    Grid spacing is changed.

    Cut the Near-field signature.

    Propagate

    Ground level

    sonic boom

    1.7L(0.12sec)

  • 256200160128100

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    256 200

    160 128

    100

    H/L=1, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    256 200

    160 128

    100

    H/L=3, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    256 200

    160 128

    100

    H/L=5, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=1, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=3, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=5, f=0deg

    256200160128100

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    256 200

    160 128

    100

    H/L=1, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    256 200

    160 128

    100

    H/L=3, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    256 200

    160 128

    100

    H/L=5, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=1, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=3, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=5, f=0deg

    Near-field & Ground (f=0deg)

    Mixed

    Near-field Ground

    TetraNear-field Ground

    H/L

    =1

    H/L

    =3

    H/L

    =5

    Mixed series have similar characteristics as Tetra series.

  • -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=1, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=3, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=5, f=0deg

    10

    15

    20

    0 10 20 30

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=1, f=0deg

    10

    15

    20

    0 10 20 30

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=3, f=0deg

    10

    15

    20

    0 10 20 30

    DP, P

    a

    X(m)

    256 200160 128100

    H/L=5, f=0deg

    AXIE-mixed

    100-160 are almost same. converged128-160 are almost same.

    But 100 is different.

    H/L=1 H/L=3 H/L=5

  • AXIE-mixed : 100 vs 128

    mixed-100 mixed-128

    Oscillations appear again even at K=0.001.

  • Loudness of AXIE

    70

    75

    80

    85

    90

    0.5 1 1.5 2 2.5 3

    SP

    L, P

    Ld

    B

    Grid spacing

    mixed, H/L=1 mixed, H/L=3 mixed, H/L=5

    tetra, H/L=1 tetra, H/L=3 tetra, H/L=5

    100 128 160200

    256

    100-160 are almost same. converged

    almost same

  • C25D (Flow through)

    Model Providor viscousity meshmixed 2 1.6 1.28 1 0.8 0.64

    tetrahedra 2 1.6 1.28 1 0.8

    Grid Spacing(Resolution)

    c25d-flowthru SBPW inviscid

  • Near field: mixedH

    /L=

    1H

    /L=

    3H

    /L=

    5

    f=010

    20

    30

    40

    50

    200160128100080064

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=1, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=1, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=1, f=50deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 080

    H/L=3, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=3, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=3, f=50deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=5, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=5, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080 064

    H/L=5, f=50deg

    H/L

    =1

    H/L

    =3

    H/L

    =5

    f=0(deg) f=30(deg) f=50(deg)

  • Near field: tetraH

    /L=

    1H

    /L=

    3H

    /L=

    5

    f=010

    20

    30

    40

    50

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=1, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=1, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=1, f=50deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=3, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=3, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=3, f=50deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=5, f=0deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=5, f=30deg

    -0.03

    -0.02

    -0.01

    0

    0.01

    0.02

    0.03

    -10 0 10 20 30 40 50

    DP

    /Pin

    f

    X(m)

    200 160

    128 100

    080

    H/L=5, f=50deg

    H/L

    =1

    H/L

    =3

    H/L

    =5

    f=0(deg) f=30(deg) f=50(deg)

  • Ground: mixedH

    /L=

    1H

    /L=

    3H

    /L=

    5

    f=010

    20

    30

    40

    50

    200160128100080064

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150D

    P, P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=1, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=1, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=1, f=50deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 080

    H/L=3, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=3, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=3, f=50deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=5, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=5, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080 064

    H/L=5, f=50deg

    H/L

    =1

    H/L

    =3

    H/L

    =5

    f=0(deg) f=30(deg) f=50(deg)

  • Ground: tetraH

    /L=

    1H

    /L=

    3H

    /L=

    5

    f=010

    20

    30

    40

    50

    200160128100080

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150D

    P, P

    a

    X(m)

    200 160

    128 100

    080

    H/L=1, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=1, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=1, f=50deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=3, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=3, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=3, f=50deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=5, f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=5, f=30deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP

    , P

    a

    X(m)

    200 160

    128 100

    080

    H/L=5, f=50deg

    H/L

    =1

    H/L

    =3

    H/L

    =5

    f=0(deg) f=30(deg) f=50(deg)

  • Loudness : Grid dependencyH

    /L=

    1H

    /L=

    3H

    /L=

    5

    f=010

    20

    30

    40

    50

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    200

    160

    128

    100

    080

    064

    from H/L=3

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    200

    160

    128

    100

    080

    064

    from H/L=5

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    200

    160

    128

    100

    080

    064

    from H/L=1

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    200

    160

    128

    100

    080

    from H/L=1

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    200

    160

    128

    100

    080

    from H/L=3

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    200

    160

    128

    100

    080

    from H/L=5

    Mixed Tetra

  • Loudness : Extracted position

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L,

    PL

    dB

    f, deg

    from H/L=1

    from H/L=3

    from H/L=5

    70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L,

    PL

    dB

    f, deg

    from H/L=1

    from H/L=3

    from H/L=5

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    H/L=1

    H/L=3

    H/L=5

    f=0deg

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    H/L=1

    H/L=3

    H/L=5

    f=0deg

    Coarse mesh (200) Fine mesh (100)Loudness Loudness

    Ground signature Ground signature

  • Model Providor viscousity meshmixed 2.56 2 1.6 1.28 1

    tetrahedra 2.56 2 1.6 1.28 1jwb SBPW inviscid tetrahedra 1 0.83 0.7

    mixed 2 1.6 1.28 1 0.8 0.64tetrahedra 2 1.6 1.28 1 0.8

    Grid Spacing(Resolution)

    axie SBPW inviscid

    c25d-flowthru SBPW inviscid

    Multi-pole + Burgers

  • -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    H/L=1

    H/L=3

    H/L=5

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150D

    P, P

    aX(m)

    H/L=0.85

    H/L=2.55

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150D

    P, P

    a

    X(m)

    H/L=1

    H/L=3

    H/L=5

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    H/L=1

    H/L=3

    H/L=5

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    H/L=0.85

    H/L=2.55

    Ground signature

    AXIE

    Multi pole & Burgers

    Burgers only

    C25D JWBBurgers only Burgers only

    Multi pole & Burgers

  • BergersMultiPole+Bergers

    70

    75

    80

    85

    90

    0 1 2 3 4 5 6

    SP

    L, P

    Ld

    B

    H/L

    Bergers

    70

    75

    80

    85

    90

    0 1 2 3 4 5 6

    SP

    L, P

    Ld

    B

    H/L

    Bergers

    MultiPole+Bergers

    70

    75

    80

    85

    90

    0 1 2 3 4 5 6

    SP

    L, P

    Ld

    B

    H/L

    Bergers

    MultiPole+Bergers

    MP+B, H/L=5

    B, H/L=0.85B,H/L=2.55MP+B, H/L=0.85MP+B,H/L=2.55

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150D

    P, P

    a

    X(m)

    B, H/L=1

    B, H/L=3

    B, H/L=5

    MP+B, H/L=1

    MP+B, H/L=3

    MP+B, H/L=5

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    B, H/L=1

    B, H/L=3

    B, H/L=5

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150

    DP, P

    a

    X(m)

    B, H/L=0.85

    B,H/L=2.55

    MP+B, H/L=0.85

    MP+B,H/L=2.55

    Multi-Pole & Burgers

    AXIE

    Loudness Loudness

    Ground signature

    C25D JWBGround signature Ground signature

    Loudness

  • AXIE vs C25D vs JWB

  • 70

    75

    80

    85

    90

    0 10 20 30 40 50 60

    SP

    L, P

    Ld

    B

    f, deg

    AXIEC25D-flo.JWB

    -20

    -15

    -10

    -5

    0

    5

    10

    15

    20

    -50 0 50 100 150 200

    DP, P

    a

    Time, msec

    AXIE

    C25D-flo.

    JWB

    All Models

    -0.006

    -0.004

    -0.002

    0

    0.002

    0.004

    0.006

    120 130 140 150 160 170

    DP

    /Pin

    f

    X(m)

    AXIE

    C25D-flo.

    JWB

    Near Field (H/L=3 of C25D)

    Ground Signature (f=0deg)

    Loudness

    Viscosity : inviscid

    Mesh : Tetra

    Resolution

    AXIE : 100

    C25D : 080

    JWB : 070

    Near field, Z= -99m

    AXIE : H/L=3

    C25D : H/L=3

    JWB : H/L=2.55

    f=0 10 2030

    4050deg

  • Conclusion

    • Analyzed cases

    - AXIE, JWB, C25D(flow-thorough)

    • Limiter function

    Limiter function is related to sharpness of near field pressure signature.

    Venkatakrishunan limiter : limiter factor;K=1.0, 0.1, 0.01, 0.001

    K=0.01 – 1 are almost same results.

    Limiter factor(K) is changed if unexpected oscillation is observed.

    • Mesh type

    Mixed and Tetra has similar characteristics.

    •Mesh resolution

    AXIE: 100-160 are almost same.

    JWB : 070-100 are almost sane.

    C25D : 064-100 are almost same.

    • 3 models

    It is found that JWB has similar to the low-boom effect of the C25D.