simulation des grandes échelles de l'écoulement instationnaire

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    ""# * " ," #

    * * " " SR0T & " # " " & " " O , , * " ) ( " SR0T

    " "" 3 D=E D=ME# * 4+# V " "" #G " " " "" # " U" G " 3 "# "" $ 2# + , " ,", " " 4+ 4 + U ,", 3 *2+ , U 4+ 4

    ? ' (

    " %6& " , " ,", $"4D;&'E S9T# , " = D &5E " +SQ0T $ ""# , , ,",# " * , " %6& *2" " %6& '% "" " , " 8 %6& * 2 , ,", * 3," * " * " "# "" * ( * 4+ *

    A 4 " , D;,E * I" %6& " * 2

  • = " * I" Q

    " O " '% %6& ( ,"2 4+ ; * %6& " " , * * (" " " + " ,"2 " * " " %6& " F2C ( * " " ," * ""

    " " + " %6& " " " " " ,"# " " # , " '%

    3 D= E D=M (E * "+ " %6& *" (" # 3 D= E# D= E# D=/ E D=/ E X *" O G O 3 D=/ E D=/ (E * "2 * O G "# * , + 2" %6& 8 "+ G " " 4+ * " ," + " S9T # O "" , ," * + 3 3 D=M E D=M E

    ; 3 D= E# D= E# D=. E D=. E " 4+ G * - ; " " " 3D= E D= E * " " F2C " * + ( ( * " A% " '% * " $ " " % "* $ " * " F2C "+ " * " @&; S:MT

    I" D *E ,* I" " %6& , 3 D= E# D=. E 3 3 D=ME

    &3# 3 D= E D= E * 3D=/ E# D=/ E D=/ E# (" " # "

  • Q/ = = 4

    + " %6& ""3 D=RE " " ( X 3 "+ " " * ,",# ( ( "+ " " O %6& ST * I I "+ (V

    O " # %6& " " " " " # , " * O " 3 D=/ (E 3 D=ME %6& " " " ," 3 D=/ E " *# * , * ,"# * ( " U

  • = " * I" Q.

    4\ Y 0#/0

    0.5

    0.7

    0.9

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    1.3

    1.5

    1.7

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    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Mis

    X [m]

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    4\Y0#.R

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    Mis

    X [m]

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    -0.1

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    Mis: 0.53 0.64 0.76 0.87 0.99 1.10 1.21 1.33 1.44 1.56

    4\Y0#PR

    0.5

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    Mis

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    Mis

    X [m]

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    = W ' , /;" , < 6 "*+" , --- 6#$!/ ,

  • QM = = 4

    O\Y0#.M

    0.5

    0.7

    0.9

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    1.3

    1.5

    1.7

    1.9

    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Mis

    X [m]

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    O\Y0#/RQ

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    1.5

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    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7M

    isX [m]

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    O\Y0#.Q

    0.5

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    1.3

    1.5

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    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Mis

    X [m]

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    Mis: 0.53 0.64 0.76 0.87 0.99 1.10 1.21 1.33 1.44 1.56

    O\Y0#P/9

    0.5

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    Mis

    X [m]

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    O\Y0#:R.

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    Mis

    X [m]

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    O\Y0#Q:R

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    Mis

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  • = " * I" QR

    4\ Y 0#/0

    0.5

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    Mis

    X [m]

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    4\Y0#.R

    0.5

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    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Mis

    X [m]

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    -0.1

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    0.5

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    x

    0.1z

    0

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    Mis: 0.53 0.64 0.76 0.87 0.99 1.10 1.21 1.33 1.44 1.56

    4\Y0#PR

    0.5

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    Mis

    X [m]

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    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Mis

    X [m]

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    =. W ' , /;" , < 6 "*+" ,--- 6 #$!/ ,

  • QP = = 4

    O\Y0#.M

    0.5

    0.7

    0.9

    1.1

    1.3

    1.5

    1.7

    1.9

    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Mis

    X [m]

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    O\Y0#/RQ

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    isX [m]

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    -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Mis

    X [m]

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    Mis: 0.53 0.64 0.76 0.87 0.99 1.10 1.21 1.33 1.44 1.56

    O\Y0#P/9

    0.5

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    Mis

    X [m]

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    Mis

    X [m]

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    Mis

    X [m]

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  • = " * I" Q:

    0.2 0.3 0.4 0.5 0.6x

    0

    0.1

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    u/c: 0.54 0.73 0.92 1.12 1.31 1.51

    =R W '

  • QQ = = 4

    / &

    " " 4 " D;4E * 3," * "3 DME &,"# * * 4+ # # # * * * O G " + " SQ0T # [ " 4+ &3# J2

    % * 3# , , ,",# 2 * " " %6& D" ,"E "(" * , " 5

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    & )"

    "3 , " * ", " ,", 5 " 3 2 * " " 5 " 3 4 , *2

    " * G 3 " 4 " 4 5 4 "" 4 32" # # ( ?

    * 3 8 + I"

    *"

  • =/ " 3 4 Q9

    & * ( !"

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    '*

    * I" "+ I" "" 4+ ," SQ0T

    *# * '% %6& "" -" ,3 ,", " " ( - " " " 3 4 "" " 3 # ,",# " " 4+ ; %6* ," L 4+# ( 8 " 3 D=:E I" " %6& " '% ,", 3" " ," %6& (" 3 D=:E 4+ $ * , "

    & * "

    # #

    " 4 * " # "" 2 " 4+ 3 D>RE 3 D>:E , 8 " 4 + ,", % " " %6& " 2+ *

    %$

  • 90 = = 4

    0

    0.05

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    0 0.5 1 1.5 2 2.5

    y [m

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    SGERANSEXPE

    =P W 1 %

    0

    0.05

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    SGERANSEXPE

    =: W 1 % = 9 ) )

    # * 3

    U" " D ""E * U" "" *" 3 * H * "+ " X H 3 3 , & ' 3 D>PE D>:E , , " " 4+# X H "

    " " + + 2% SQ0T# ," " 3 D=9E# D=0E D=E ; " " 3 %6 * " " + "" , "3 D=/E D=.E " "" " 8 3 D=ME "+ " " " * L 4+ 3 D=/E D=.E

    & " + # 3 D=0E

  • =/ " 3 4 9

    " 8 , 3 D>PE

    8&

    8X

    8'

    8+ 3

    D=RE " "3 , + G *" * + " " ? ( * * * H 8 X"

    %$

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    " " # " %6& + 3 D=QE D=/E

  • 9/ = = 4

    -0.1

    0

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    x

    0.1z

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    SGERANSEXPE

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    RANSEXPE

    = W '%

    0

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    y [m

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    SGERANS

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    0

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    y [m

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    =. W + (

  • =/ " 3 4 9.

    0

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    y [m

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    SGERANS

    =M W

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    =R W '%

    " " " " G# "# H " " X H# " ( $ (# " 3 D=9E# X ( - H

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  • 9M = = 4

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  • =/ " 3 4 9R

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  • 9P = = 4

    0

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    SGERANSEXPE

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    3 D=/QE D=.0E " " X " %6& " * ," " 2 -* # , " S9T * "" ," " ,2" 3 # " "2 H O %6& "

  • =/ " 3 4 9:

    0

    0.05

    0.1

    230 240 250 260 270 280 290 300

    y [m

    ]

    SGERANS

    =/.E "

    0

    0.05

    0.1

    36000 40000 44000 48000 52000

    y [m

    ]

    SGERANS

    =/.E

    0

    0.05

    0.1

    210 220 230 240 250 260 270 280 290 300

    y [m

    ]

    SGERANS

    =/.E "

    0

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    0.1

    15000 20000 25000 30000 35000 40000 45000

    y [m

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    SGERANS

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    0

    0.05

    0.1

    210 220 230 240 250 260 270 280 290 300

    y [m

    ]

    SGERANS

    =/.E "

    0

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    20000 25000 30000 35000 40000

    y [m

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    SGERANS

    =/.(E

    0

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    0.1

    0.15 0.25 0.35 0.45 0.55

    SGERANS

    =/.E $"

    0

    0.05

    0.3 0.35 0.4 0.45 0.5 0.55 0.6

    z [m

    ]

    SGERANS

    =/.E $"

    =/. W +: . +

  • 9Q = = 4

    00.05

    0.10.15

    z

    0.2

    0.2

    5

    0.3

    0.3

    5

    x

    =/M W 9

    =/R W @ = ) + A

  • =/ " 3 4 99

    ( * ," * '% + 3D=.0E * %6& " * '% ," & " * ' + + #- 3 D=.0E

    %$

    " , 3D=.E O " " $(V ""# # * %6&

    3 D=./E D=..E " , ' + " 3 D=.ME D=.PE 4+ ; " * ,", " *" * "" " %6& ' # " " & ' ( - H ' + * "3

    ! - %$

    O G " + " "" 3 D=.:E

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    " " 3 ' ( " " "

  • 00 = = 4

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

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    0.7

    x

    0.1z

    0

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    =/P W +

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    SGERANSEXPE

    =/: W %

    0.00

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    SGERANSEXPE

    =/Q W %

    0

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    y [m

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    SGERANSEXPE

    =/9 W &%

    0

    0.05

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    0.15

    -0.4 -0.3 -0.2 -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =.0 W '%

  • =/ " 3 4 0

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =. W +

    0.00

    0.05

    0.10

    0.15

    0 0.5 1 1.5 2 2.5

    y [m

    ]

    SGERANSEXPE

    =./ W %

    0

    0.05

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    -0.2 -0.1 0 0.1 0.2

    y [m

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    SGERANSEXPE

    =.. W '%

    0.00

    0.05

    0.10

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    0 0.5 1 1.5 2 2.5

    y [m

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    SGERANSEXPE

    =.M W %

    0

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    =.R W &%

    0

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    y [m

    ]

    SGERANSEXPE

    =.P W '%

  • 0/ = = 4

    SRT " * " + + 2% " " O D;,E 3 D=ME ," " * * " * " * "" B " " - H 3 D=M0E D=M/E + * * O , " " + " " %6& " # * ( - H " %6& + "" '%

    " " " " " " " * O " O O " ""

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    %$

    * + " 3 " %6& ," 3 D=MRE# D=MPE D=M:E ; ( - H " %6& 3 D=M:E (2 "3 " # O +

    3 D=MQE# D=M9E D=R0E " # " " " + , " 8 U " - " " " "*

    %$

  • =/ " 3 4 0.

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

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    =.: W +

    0.00

    0.05

    0.10

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    -0.5 0 0.5 1 1.5 2 2.5

    y [m

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    SGERANSEXPE

    =.Q W %

    0

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    -0.5 0 0.5

    y [m

    ]

    SGERANSEXPE

    =.9 W &%

    0

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    0.15

    -0.2 -0.1 0 0.1 0.2 0.3

    y [m

    ]

    SGERANSEXPE

    =M0 W '%

    0.00

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    -1 -0.5 0 0.5 1 1.5 2 2.5

    y [m

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    SGERANSEXPE

    =M W %

    0

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    -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5 0.6

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    SGERANSEXPE

    =M/ W '%

  • 0M = = 4

    0

    0.05

    0.1

    -0.5 0 0.5 1 1.5 2 2.5

    y [m

    ]

    SGERANS

    =M. W % J

    " "

    ; * * " * " %6& " ," " + * 3 # 4+ ' , 3 D=R/E " ; * ( " " %6& " 2 " " ' ' # '% " " * X " ,", 4 * X %6& 4 ( - H + " %6& * "3 " ' # 3 D=RME

    ; 3 *X " ,", ( - H " %6& "3

    &+ $ !

    3 " " 3 4# 3 4" "" " ,# 3 D>/E D>ME

    * I" " L G 1 * O " 3 +

  • =/ " 3 4 0R

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =MM W +

    0.00

    0.05

    0.10

    0.15

    -1 -0.5 0 0.5 1 1.5 2 2.5

    y [m

    ]

    SGERANSEXPE

    =MR W %

    0

    0.05

    0.1

    0.15

    -0.5 0 0.5

    y [m

    ]

    SGERANSEXPE

    =MP W &%

    0

    0.05

    0.1

    0.15

    -0.3 -0.2 -0.1 0 0.1 0.2 0.3

    y [m

    ]

    SGERANSEXPE

    =M: W '%

    0.00

    0.05

    0.10

    0.15

    -1 -0.5 0 0.5 1 1.5 2 2.5

    y [m

    ]

    SGERANSEXPE

    =MQ W %

    0

    0.05

    0.1

    0.15

    -1 -0.5 0 0.5

    y [m

    ]

    SGERANSEXPE

    =M9 W &%

  • 0P = = 4

    0

    0.05

    0.1

    0.15

    -0.6 -0.4 -0.2 0 0.2 0.4 0.6

    y [m

    ]

    SGERANSEXPE

    =R0 W '%

    " " ""# " "" " ( - H # 3 *" *" %6& "

    &, '

    " -* %$ O " * ,", " " " + " * H X " ( % " " 4 " I + * # * + 1 L + ,

    " " + I" "# " ,", '% 2 " I" " %6& '% " " , " , " ," 2 '% 4 %6 + " ; J

  • =/ " 3 4 0:

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =R W +

    0.00

    0.05

    0.10

    0.15

    -1 -0.5 0 0.5 1 1.5 2 2.5

    y [m

    ]

    SGERANSEXPE

    =R/ W %

    0.00

    0.05

    0.10

    0.15

    -1 -0.5 0 0.5 1 1.5 2 2.5

    y [m

    ]

    SGERANSEXPE

    =R. W %

    0

    0.05

    0.1

    0.15

    -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5

    y [m

    ]

    SGERANSEXPE

    =RM W '%

  • 0Q = = 4

    /$ " @&; $ S/9T + 4*# * " 3 " " "- " # " * # * "" , # (U ( " S:MT " 4 @&; *" " " 3 4

    " + # " " "" " ," S9T O "" %6& " + ( " + # " *# " %6& " " " 8 " " * " %6& I" '% ,# 3 D=ME G " O G "# " # '%# * ," " U " 7

    & # * " 2 , D *E " ,O H A " " ( - H O " &3 " ( " * " " *

  • =. " 3 4 09

    / &

    & * *

    " # #

    $ " " 3 4 * 3," 4 4 3" ( 2 D , " ,E ?

    D=E' # * 3# , , ,",#

    * " " %6& " "(" " 5

    $ 8 * 4# " , 3 3 D>QE D>E , " '' %6& 2 " ,", " " 4+ * * * ," "" ""# 8 * " 2 * , 3" ++ -*

    4 " 3 " , " 4# 4 ( H * * " " %6& " * " * X I" " L# * # " "

    A 4 3 4+ * 2 + 2 " && '' ( " " " " 2" " & ' " " "# &' " + (" & ' 4+# " * " , + $ # & ' * *" *& ' " - 2" ( "

  • 0 = = 4

    A " %6& 4+ " " " " L 4+# , " 2* + 2% " X " 3 " J S/:T ; 8 " " "2

    %$

    * G " , " ,",# " 4+ * ( " "" * 3 D=RRE * " " " " # & ' 3 D=RPE D=RQE

    " "+ ( " * " '% ; * * " 8 " " %6& , I" * " %6& '% 3 " ,* " ( *

    "# " 2" " 3 " " 4 " * "* D=E %6& " " & ' (" " '% ,"

    %$

    " # ( " " 3 4# " # 2" & " ( "2 ' * 8 ; 3D=P0E# D=PE D=P/E " " # & ' ; " & " * 3 D=P.E#D=PME# D=PRE

  • =. " 3 4

    "( " " ' 3 D=P/E 4 4 ' O 3 D=:E D=9E " & , " "

    * 3 D=P.E D=PME * " " ," * " " * * " %6& U ,"

    5 %$

    ' " " && "# & ' & " , 3 D>9E; 3 D=P:E * "

    " * " 2" 0 ( " " " "

    " " & " 8 " 3 D=P9E " 2 "" ," " " " # " ," " && & 3 D=PQE D=P9E# ," *# " %6& " * + 2% 3 " %6& S/QT + ( " 3 H " * " & %6& G 8 X X + 4" *" # 3

    # (V + # "* 3 O " " " 2* ; * * " %6& #B "

    " " ' " % ( " " 4 D3 D>QE E 4 X " -

  • / = = 4

    " * " %6& "+ " * " ," 3 D=/:E

    " " %6& " 3 D=:E " " , ," ," " O " , " '% " " ,"

    5 %$

    ' " ( 3 # & & 3 D=:.E D=:PE ( * * %6& " & & ' * " -* & " %6& 4 ( " "" "- " " 3 D=P0E

    %6 , " *# " "," " && & 3 D=:ME D=:RE ' ( " " 4 I " *,* " " " , 8"+ && O G )" " " " " 3 &

    &3 3 D=::E " " " X * " " " " ," " , ; * " * " " " X

    5 %$

    &," S9T " 8 "* * "" ""

  • =. " 3 4 .

    3 D=:9E * %6& H && "," # " " * " ," * 3 D>RE " %6& " " %6& 4+ * "- " ( * "&& , " " O "" D "E " " ' "" 3 D=M/E

    " 3 D=Q0E D=Q.E 4 # & & ' %6& " && " & ' " ,", * # " # *, " "* S/T " %6 * * 4 *" 3 D=9E

    5 %$

    " " # & & ' # 3 D=QRE D=9PE

    " " ," 3 D=QRE " " " * * " * " 2" " 4 + , " + 3 S9T * " 4 + " " + * " 4 4+ >*# ( "* *" " + " "* * 4 ( "* *" " + 4* " " * + + + " , "

    " ," " 3 D=QRE# ) " " ,"2, 3 4 G 4 " * X ," " * "+ " ; " ' " " && " %6& + ""

  • M = = 4

    " " ," " " 2" *4 U" ,2* "( & * * " * " & ! ' " 28 1 ( - ' 3D>:E ,

    3 D=Q9E D=9/E " 4 4+ " L (" " " 4X %6& , " I" " J "" ," 8 " " * %6& " ( 8 * ," ; 8 * " " '% " " + , "" G X * # G " 4+ && "" ," 2 " & '# ( ' ( " " & " " " " 4 * ' , " * 3 ' 3 D=R0E

    " # " ," 3 D=9.E D=9ME " *, " "*# + ' * && " 3 " & ' " * # # * ,"2# " "- , " * 3 ' 5 %$

    " " 4 # & ' 3 D=9QE D=00E 2 " ,",# * %6& ( " " * , " "* + 2

  • =. " 3 4 R

    " %6& " * &

    8 4 " " "" + %6& " 3 + " ,"2 " '% " *# %6& " ( ," && * " * + " + " # # "" ,* ( *

    # ( O # ( 88

    88

    S/T , " "

  • P = = 4

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =RR W +

    0.00

    0.05

    0.10

    0.15

    -0.01 0 0.01 0.02 0.03 0.04

    y [m

    ]

    SGERANSEXPE

    =RP W %

    0.00

    0.05

    0.10

    0.15

    -0.01 0 0.01

    y [m

    ]

    SGERANSEXPE

    =R: W &%

    0.00

    0.05

    0.10

    0.15

    -0.01 0 0.01

    y [m

    ]

    SGERANSEXPE

    =RQ W '%

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =R9 W +

  • =. " 3 4 :

    0.00

    0.05

    0.10

    0.15

    0 0.2 0.4 0.6 0.8

    y [m

    ]

    SGERANSEXPE

    =P0 W %

    0.00

    0.05

    0.10

    0.15

    -0.2 -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =P W &%

    0.00

    0.05

    0.10

    0.15

    -0.03 -0.02 -0.01 0 0.01 0.02 0.03

    y [m

    ]

    SGERANSEXPE

    =P/ W '%

    0.00

    0.05

    0.10

    0.15

    0 0.1 0.2 0.3 0.4

    y [m

    ]

    SGERANSEXPE

    =P. W %

    0.00

    0.05

    0.10

    0.15

    -0.03 -0.02 -0.01 0 0.01 0.02 0.03

    y [m

    ]

    SGERANSEXPE

    =PM W &%

    0.00

    0.05

    0.10

    0.15

    -0.03 -0.02 -0.01 0 0.01 0.02 0.03 0.04 0.05

    y [m

    ]

    SGERANSEXPE

    =PR W '%

  • Q = = 4

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =PP W +

    0.00

    0.05

    0.10

    0.15

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

    y [m

    ]

    SGERANSEXPE

    =P: W %

    0.00

    0.05

    0.10

    0.15

    0 0.1

    y [m

    ]

    SGERANSEXPE

    =PQ W &&%

    0.00

    0.05

    0.10

    0.15

    -0.1 0 0.1

    y [m

    ]SGE

    RANSEXPE

    =P9 W &%

    0.00

    0.05

    0.10

    0.15

    -0.05 0 0.05

    y [m

    ]

    SGERANSEXPE

    =:0 W '%

    0.00

    0.05

    0.10

    0.15

    0 0.1 0.2 0.3

    y [m

    ]

    SGERANSEXPE

    =: W %

  • =. " 3 4 9

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =:/ W +

    0.00

    0.05

    0.10

    0.15

    0 0.1 0.2

    y [m

    ]

    SGERANSEXPE

    =:. W %

    0.00

    0.05

    0.10

    0.15

    0 0.05

    y [m

    ]

    SGERANSEXPE

    =:M W &&%

    0.00

    0.05

    0.10

    0.15

    -0.05 0 0.05

    y [m

    ]

    SGERANSEXPE

    =:R W &%

    0.00

    0.05

    0.10

    0.15

    -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =:P W '%

    0.00

    0.05

    0.10

    0.15

    0 0.2 0.4 0.6 0.8

    y [m

    ]

    SGERANSEXPE

    =:: W %

  • /0 = = 4

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =:Q W +

    0.00

    0.05

    0.10

    0.15

    0 0.01 0.02

    y [m

    ]

    SGERANSEXPE

    =:9 W &&%

    0.00

    0.05

    0.10

    0.15

    0 0.2 0.4 0.6 0.8

    y [m

    ]

    SGERANSEXPE

    =Q0 W %

    0.00

    0.05

    0.10

    0.15

    0 0.1

    y [m

    ]SGE

    RANSEXPE

    =Q W &&%

    0.00

    0.05

    0.10

    0.15

    -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =Q/ W &%

    0.00

    0.05

    0.10

    0.15

    -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =Q. W '%

  • =. " 3 4 /

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    x

    0.1z

    0

    0.1

    y

    X

    Y

    Z

    =QM W +

    0.00

    0.05

    0.10

    0.15

    0 0.05 0.1

    y [m

    ]

    SGERANSEXPE

    =QR W%

    0.00

    0.05

    0.10

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    0 0.05

    y [m

    ]

    SGERANSEXPE

    =QP W&&%

    0.00

    0.05

    0.10

    0.15

    -0.05 0 0.05

    y [m

    ]

    SGERANSEXPE

    =Q: W &%

    0.00

    0.05

    0.10

    0.15

    -0.05 0 0.05

    y [m

    ]

    SGERANSEXPE

    =QQ W '%

    0.00

    0.05

    0.10

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    0 0.1 0.2 0.3 0.4

    y [m

    ]

    SGERANSEXPE

    =Q9 W %

    0.00

    0.05

    0.10

    0.15

    -0.2 -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =90 W &%

  • // = = 4

    0.00

    0.05

    0.10

    0.15

    0 0.1

    y [m

    ]

    SGERANSEXPE

    =9 W &&%

    0.00

    0.05

    0.10

    0.15

    -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =9/ W '%

    0.00

    0.05

    0.10

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    0 0.2 0.4 0.6 0.8

    y [m

    ]

    SGERANSEXPE

    =9. W %

    0.00

    0.05

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    0 0.1 0.2

    y [m

    ]SGE

    RANSEXPE

    =9M W &&%

    0.00

    0.05

    0.10

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    -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =9R W &%

    0.00

    0.05

    0.10

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    -0.1 0 0.1

    y [m

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    SGERANSEXPE

    =9P W '%

  • =. " 3 4 /.

    -0.1

    0

    0.1

    0.2

    0.3

    0.4

    0.5

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    0.7

    x

    0.1z

    0

    0.1

    y

    X

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    Z

    =9: W +

    0.00

    0.05

    0.10

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    0 0.2 0.4 0.6 0.8

    y [m

    ]

    SGERANSEXPE

    =9Q W %

    0.00

    0.05

    0.10

    0.15

    -0.2 -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =99 W &%

    0.00

    0.05

    0.10

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    -0.2 -0.1 0 0.1

    y [m

    ]

    SGERANSEXPE

    =00 W '%

    0.00

    0.05

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    0 0.2 0.4 0.6 0.8

    y [m

    ]

    SGERANSEXPE

    =0 W %

    0.00

    0.05

    0.10

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    0 0.1 0.2

    y [m

    ]

    SGERANSEXPE

    =0/ W &&%

  • /M = = 4

    & '

    " " + " "H" + " 4 *"" %6& D ,E " ( I" D;4E

    *"

    " * 4 "

    *" * " 4 )2 , %# 4 " I" *" "

    " 3 D=0.E , 2# * " ( # G * & " %6& ; ) I" , " " + # " ( + 3 D=0ME " " *" * " 4 " 3 D=0RE G" " %6& " 3D=0PE &3# " " ( 4+ # D;4E * + " " %6& +

    3 D=0:E " ,

    ; 3 D=0QE *

    " " + " * * D;4E *"

    + ) # "

    ," , ?

    D=/E " 4 %6& I"

    *" , A , 28

    , * ( " ,D=/E

  • =. " 3 4 /R

    * " 4 ,# H 8

    + * G *" * " 4 " " * "# * * O ( " "( * 3 * 4 " ( + " I ( * ,

    6 $ %

    "" 3 D>RE " "" ( ? " " " "

    + ( D=/E " " " " "" ( 2" # # * , D=/E

    , 4 %6& " D , "E ?

    B

    B

    "" H 4

    "

    + " * " " H

    # " , ' >

  • /P = = 4

    0

    0.05

    0.1

    -0.35 -0.3 -0.25 -0.2 -0.15 -0.1 -0.05 0 0.05

    y [m

    ]

    =0. W& 06

    &

    0

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    SGERANSEXPE

    =0M W& & &

    0

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    =0R W& 06

    &

    0

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    -0.16 -0.12 -0.08 -0.04 0 0.04

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    RANSEXPE

    =0P W& & &

    0

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    =0: W& 06

    &

    0

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    SGERANSEXPE

    =0Q W& & &

  • =. " 3 4 /:

    ( X 4 " H * " " > 3 D .0E ?

    D=.E

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    " "# "

    " 4# "" H * "" *" * " " "3 * " " %6& L# * " *# , %6& "

  • /Q = = 4

    0

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    ]

    SGERANSEXPE

    =09 W &

    0

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    =0 W &

    0

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    = W &

    0

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    0

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    =. W &

    0

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    -0.08 -0.06 -0.04 -0.02 0 0.02 0.04

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    SGERANSEXPE

    =M W &

  • =. " 3 4 /9

    & $ !

    *

    # "" * ** "* " H 4 .00000 3 I 4 *" " # "

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    " 8 3 ,

    &

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    # 3 *"

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    3 D=QE " " * %6& " ( " + "2 3 D=9E " " & * G X " %6& L * * " " " 4+ ; " "" "

  • .0 = = 4

    "&3 3 D=/0E " " "

    " " " "* * * 4 *"

    &+ ' *

    *" * 2 " ( "2 " '+ " H 4 "" "# * "+ " && '' * %6& ) ( O " 8 "+ "# & '# * # * 4 " ( " , " 28 "+ 4 ]] * 4 SM:T O H + # G 4 O H ( - 2 H DE 4 " " " " , ( " * SRRT 8 " " , , * "# + "" 4+ , " " " " 3 4 * "

    " " " %6& 3 L 4+ , '%# " , H " "* + " 4 " " " # # 0 " " " " " * , *"* "

  • =. " 3 4 .

    0.00

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    -0.01 0 0.01 0.02 0.03 0.04

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    ]

    SGERANSEXPE

    =R W

    0

    0.05

    0.1

    0 0.5 1 1.5 2 2.5 3 3.5 4

    y [m

    ]

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