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8/11/2019 Development of CFD Models for the Purposes of Exploring Free Surf
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Western Michigan University
ScholarWorks at WMU
Master's Teses Graduate College
4-1-2013
Development of CFD Models for the Purposes ofExploring Free Surface Wave Phenomena
Leonard P. StoehrWestern Michigan University, len.stoehr@live.com
Follow this and additional works at: hp://scholarworks.wmich.edu/masters_theses
Tis Masters Tesis-Open Access is brought to you for free and open access
by the Graduate College at ScholarWorks at WMU. It has been accepted for
inclusion in Master's Teses by an authorized administrator of
ScholarWorks at WMU. For more information, please contact
maira.bundza@wmich.edu.
Recommended CitationStoehr, Leonard P., "Development of CFD Models for the Purposes of Exploring Free Surface Wave Phenomena" (2013). Master'sTeses. Paper 139.
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DEVELOPMENTOFCFD MODELSFOR THEPURPOSESOFEPLORINGFREESURFACEAVE
PHENOMENA
L P. S
A T G C
D M S E (M)
D M A E
M U
A 2013
T C:
P M, P.D., C
. L, P.D.
J M. M, P.D.
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DEVELOPMENTOFCFD MODELSFOR THEPURPOSESOFEPLORINGFREESURFACEAVE
PHENOMENA
L P. S, M.S.
M U, 2013
, ,
. T
,
. A
M U
. T
. T
C F D (CFD) . T CFD
. E
,
. F CFD
,
. T ,
.
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2013 L P. S
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ACKNOLEDGMENTS
I D. P M, ,
. I
M U C A E C,
.
I D. . L D. J M. M
. I R A. D,
,
I .
L, I , A L, K
A, ,
. M I
.
L P. S
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TABLE OF CONTENTS
ACKNOLEDGMENTS ......................................................................................................................
LIST OF TABLES .................................................................................................................................
LIST OF FIGURES ..............................................................................................................................
1 INTRODUCTION ........................................................................................................................ 1
1.1 P ....................................... ..................................................................................... 1
1.2 C CFD S ...................................................................................................... 2
1.3 R T E ......................................................................... ....................... 4
2 AVE TANK 2D MODEL ........................................................................................................ 5
2.1 P P & G .......................................................................... ........................ 5
2.2 M & S S ......................................................................... ...................... 5
2.3 T R ......................................................................................................... 31
2.4 T C ................................................................................................. 40
2.5 T R ........................................................................ .............. 40
3 SEA ALL 3D MODEL .......................................................................................................... 42
3.1 P I ..................................................................................................... 42
3.2 M S & S ......................................................................... .................... 42
3.3 S R ............................................................................................................. 50
3.4 S C ..................................................................................................... 60
3.5 S R ......................................................................... ................. 61
REFERENCES ................................................................................................................................... 62
APPENDI A: H P ................................................................................................ 63
8/11/2019 Development of CFD Models for the Purposes of Exploring Free Surf
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T C
APPENDI B: 2D G UDF ....................................................................................... 66
APPENDI C: 2D F 6DOF UDF ......................................................................................... 68
APPENDI D: T A ............................................................................................ 70
APPENDI E: S A ................................................................................................. 73
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LIST OF TABLES
2.1 P ..................................................................................................................................... 7
2.2 C F M ............................................. 29
2.3 C F M ........................................... 29
2.4 C R F F M ............................... 30
2.5 B M ............................................................ 30
3.1 C ........................................................... 44
3.2 S M S P ......................................................................................... 48
3.3 S S S P ....................................................................................... 48
3.4 UR S P ........................................................................ 48
3.5 T M 1 & 2 ..................................................................................................... 49
3.6 T M 3 ............................................................................................................. 50
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LIST OF FIGURES
2.1 . ( ) ......................... 6
2.2 C G . ( ) .............................................. 9
2.3 G ....................................... .............. 11
2.4 M MU T ........................................................ ....................... 16
2.5 P MU T . ( ) ............................ 18
2.6 P F M M ................................................ 19
2.7 O M ........................................................................ 20
2.8 M G, H .................. 21
2.9 M M ............................................................................ 22
2.10 D ,
G =0 () =0.1
(). ................................................................................................................................................ 24
2.11 D , G =0 , () =0.1
(). ................................................................................................................................... 25
2.12 G =0, , , 1
........................................................................................................................................... 32
2.13 T . 040 ............................................................................................. 33
2.14 T . 2025 .......................................................... ................................. 34
2.15 I MU .
( ) .................................................................................................................................... 36
2.16 C =20 F () M
() ........................................................................................................................ 37
2.17 T . 2021 .......................................................... ................................. 38
2.18 C =20 F ()
M () .......................................................................................................... 39
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L F
3.1 G B . S (), O (),
G () ................................................................................................................................. 45
3.2 S . O ( ), R ( ), S
F ( ), S S ( ). .............................................................................. 47
3.3 C F S . T M............................................................ 51
3.4 M #1 F F = 1, 2, 3, 4 ................................................................................ 52
3.5 M #1 F F = 3.1, 3.2, 3.3, 3.4 ....................................... ............................. 53
3.6 P F . T . L S F ............................... 54
3.7 V V 1 S F, 3.3
3.75 .................................................................................................................................. 56
3.8 V V ................................................ 58
3.9 V V .................................................... 59
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1
1
INTRODUCTION
1.1
P
T
. , , ,
. A ,
,
.
A, . T
,
. O C F
D (CFD),
. A
.
T CFD M U
. CFD ,
. T ,
. S ,
,
.
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2
1.2
C CFD S
B CFD ,
. T CFD
.
A ,
, ,
, . H
,
. F ,
CFD ; ANSS F, ANSS CF,
C SC/T. F , ICEM .
1.2.1
ANSS CF
T ANSS C CFD .
T CF . I
ANSS ,
,
. I
, . O ,
. T
.
T CF C F. U F
, ,
,
.
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3
1.2.2
C SC/T
T SC/T . I
,
. T .
,
. S ,
G
. T , 2D
. 2D ,
. H
. T . T
3D , . I
, .
1.2.3
ANSS F
T ANSS C CFD F. F
ANSS , ,
. T
, ,
. H,
,
CFD .
T F. T
,
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4
. B
.
1.3
R T E
T , , T.
T M U (MU) ,
F L. P ,
(D,
2012). F ,
, 2D CFD MU . T
. D ,
.
T .
T MU ,
, . A
MU,
. A CFD
. T 3D ,
2D
. D
.
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5
2
AVE TANK 2D MODEL
2.1
P P & G
T CFD MU
. A
. T
CFD
MU , ,
.
U ,
. T
,
, . T
.
2.2
M & S S
2.2.1
P D & A
T
F 21. T , P
. V
. T
, C.
F .
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6
2.1 . ( )
P
,
. F ,
,
;
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. G , MU 2D
3D.
E ,
(T 2.1). I
10 . T
. A
R P. T
G. T
N AN. N
, A
. T
. T ,
.
2.1
F (H)
()
A ()
1 0.97 122.3 2.5
2 1.56 61.2 4.4
F ,
. T 2
, .
A, R
A. T R P
A . T
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R P .
T ,
. T .
B ,
,
.
2.2.2
G
A , ,
. T F. F
UDF . I UDF
. F ,
. T
, , , . F
,
.
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2.2 C . ( )
I G
. A ,
, G UDF
, . A,
, ;
G . T
. A
, ,
. L,
. T
G.
H ,
G . I G
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10
P F. A
P F . M
, . T
,
.
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11
2.3
T T
B
H L
M
M
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T UDF
DEFINECGMOTION . T
, , , . A
. B
G ,
. SC/T
. SC/T
, .
+ + + +
,, , , ,
H.
T , .
G, ,
.
T 2.1,
+ + +
(2.1
(2.2
(2.3
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T , UDF
. U
G .
.
B 2.1 2.7,
, , , . B ,
.
UDF
. T UDF A B.
(2.4)
(2.6)
(2.5)
(2.7)
(2.8)
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2.2.3
B C
2.2.3.1
F
T . T
,
, . S
, ,
. T
. I ,
. I
, ,
. T ,
, ,
. H ,
.
2.2.3.2
R P
M , R P
. A ,
. T R P
A . T
R P
. B . I
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, . T ,
, .
2.2.3.3
T, & B
T ,
. T ,
.
2.2.4
T . T
.
, ,
. T
. T
. A ,
,
.
U ,
M . T
,
. I
,
. T , (6DOF)
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. T 6DOF UDF. T
, , ,
, . F ,
, .
F , ,
.
2.4
M P:
M I C M:
112
=
= 02
= 0001 = 01
= 21
(2.9
(2.1
(2.1
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=
P A T
=
.
H,
. F, 2D, ,
. S,
, ,
. T
, . T
. A,
. I F2.5, ,
C. T
. F
. E
C
. T
.
(2.1
(2.1
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2.5 . ( )
I . T
. ,
.
R ,
,
. T ,
,
.
T ,
F 2D . F
; , F
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1 . I ,
:
,
, .
T , :
2.6
, 02 1= 12 10
= = 011
T .
A ,
,
= 02
= 0001
= 10
= 2
(2.14
(2.15
(2.16
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. T = 01 , .
L, . T
.
2.2.5
M
2.2.5.1
M D
H ,
. T ,
M
, F . T ,
F 2.7, M .
2.7
A , ,
. T
H ,
( F 2.8 2.9). T
. A .
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T F . T
, ,
, H. T H
. M ,
. A
, . I
, .
2.8 ,
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2.9
2.2.5.2
D M S
A ,
MU . T F. T
. T
UDF
. I , . T
G . A
, UDF
. I G
, . T
. F
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, . I
,
G . T
H . T
, . T
6DOF . T UDF
. T
. I
. T ,
, .
A
. F
. A .
T . A
F 2.10. T
=0.0 =0.1 . I 0.001 ,
. I
G,
, G,
.
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2.10 D ,
=0 () =0.1 ().
T ;
, , . S
. T
. I F
2.11, , . A T=0.1
,
, .
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2.11 D ,
=0 , () =0.1 ().
T I U . T
, . T
6DOF ,
, . N
,
.
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2.2.6
S S
F ,
. T
F M .
2.2.6.1
M & V F
M F,
. T V F (VF) M. T VF
. T ,
.
T VF 0 1
, ,
. I
. I
, .
VF , VF
S. T VF S
. I E ,
,
, . T
,
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C . I I
, . B
. I , E S
. H
, . T I
,
C ,
.
T F E S, M
I S. I E S ,
E S ,
. I ,
.
T M . T I
B F . F , , I B
F . I
, . T
O C . T O
C . T
F M .
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2.2.7
M, P & O C
T . O
; , . B
F .
F . F
, . F
, . I
, , .
T , ,
, . T
, . T
. T
. T . F
, 1.0 ,
, . T
, .
2.2.8
I C S S
T ,
. A
. U
F
.
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T
F M . T
. D
F
.
2.2 C
2.3 C
S
P
V
C
G P MV
F
T
K
E
T
D
R
F
PISO
L
S C
B
PRESTO!F O
U
G
R
F O
U
F O
U
M
C
L
S C
B
PRESTO!
S
O
U
C
S
O
U
S
O
U
M
M
MT
F V
F E
SST
M
V
F I
R
/
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T .
2.4 C
E R
F
F C
N MP
F
M 200 0.5 0.5
UR F
P D
B
FM
V
F
T
K
E
S
D
R
T
D
R
T
V
F
0.3
1
1
0.5
0.5
0.5
0.5
M 0.5 0.5 0.5 0.5 0.5 0.5
T M F
. S . T
F , E VF ,
. T M , ,
. T
,
. T
. T
:
2.5 B
T S () N. T T T ()
P 1 S 0.001 10 0.01
P 2 R 0.005 8000 40
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2.3
T R
2.3.1
G B
I G F
M
. I G 0.64
0.641 . A =0.25T, 0.16 , G
, =0.75T, 0.48 ,
G . A
. T
. O G
.
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2.12 =0, , , 1
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2.3.2
T O
E T T 40 . F 2.13
, F M .
T
. T ,
.
2.13 . 040
L
, .
T F ,
M . I ,
1213 . F
20
.
3.00
2.00
1.00
0.00
1.00
2.00
3.00
0 5 10 15 20 25 30 35 40
(
)
()
. D C 2
E D F M F F M M
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F 2.14 T T ,
.
2.14 . 2025
F ,
; G
. A . T
20 H,
, ,
.
L ,
. T
. T
. ,
, , .
A
. E M ,
3.00
2.00
1.00
0.00
1.00
2.00
3.00
20 20.5 21 21.5 22 22.5 23 23.5 24 24.5 25
(
)
()
. D C 2 20 25
E D F M F F M M
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,
M .
2.3.3
V F O
E . F 2.15
, F 2.16 F
M .
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2.15 . (
)
T . T
. T F ,
M . B M
. T
CF , C VF
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. L, F
M . T ,
.
2.16 C =20 ()
()
2.3.4
F A
R M ,
,
F . T
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. F 2.17 20 21 . I
.
2.17 . 2021
T ,
. F 2.18 =20
. T . T F
,
. T . T
. I M ,
, F ,
, . T
. B ,
, ,
. A
.
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2.18 C =20 ()
()
B
. R
.
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2.4
T C
T CFD . T
,
. T
F . T
. I
,
M .
H ,
M . F
.
I 60 ,
. U ,
1520 ,
. T
,
, .
U, M ,
, .
2.5
T R
I , F . T M
,
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F . H , M
. T
. H
, ,
, .
F, ,
.
, .
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3
SEA ALL 3D MODEL
3.1
P I
A ,
. T
. T
, . S
, . D
.
A
, ,
. A
, .
3.2
M S & S
3.2.1
P D & G
J 2D ,
. T
. B
, ,
. T
, ,
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. T
.
A , S
, .
A
, 2D . A
, . T
. M
, . T
23 , ,
.
, .
M 1 B: U 2D (
)
M 2 15 D: S , 15
M 3 L : U
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T .
3.1 C
#
()
A
()
()
()
#
1 1.56 0.022 0.612 0 3
2 1.56 0.022 0.612 15 3
3 0.97 0.0125 1.223 0 2
3.2.2
P S
3.2.2.1
G
T I, G,
F. T
, ,
, , ,
. T
. T ,
.
3.2.2.2
G D
F 3.1 . E
(), (), ()
G. H
, . F
H.
, . A
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,
.
3.1 B . (), (),
()
I . A
F 3.1, 5 . T S
F, . T 4
. T ,
. A S
F ,
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, .
H ,
.
3.2.3
B C
A S B . F
. T ,
. T T
, .
T ,
. T ,
F . T
, . B
, ,
. T ,
. I
,
G, ,
. H,
S , . T,
. T
, .
T
. F ,
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3.2.6
S I & S S
T . T F
.
3.2
M
M
MT
V
F ESST
3.3
S
P
V
C
G P MV
F
T
K E
T
D
R
PISO
L
S C
B
PRESTO!S O
UC
S O
U
S O
U
T .
3.4
UR F
P DB
FM
T
K
E
S
D
R
T
V
0.5 0.5 0.5 0.5 0.5 0.5 0.5
T ,
. U , F
.
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F . I
,
. A , G
,
. T , ,
. I
,
, . H
,
, . A
, , . A,
,
S .
B M 3
, . T 3.5
M 1 2, 3.6 M 3.
3.5 1 & 2
T
S ()
N.
TT T ()
P 1 0.002 960 1.92
P 2 0.002 375 0.75
P 3 0.002 1165 2.33
T
5.0
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3.6 3
T S ()N.
TT T ()
P 1 0.002 1010 2.02
P 2 0.002
100
0.20
P 3
0.002
1390
2.78
T 5.0
3.3
S R
3.3.1
V
B ,
. U , . T
,
. I , S
F , .
A A , 279.265 N. F 3.3
S F , 0 , .
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3.3 C . .
A
. I
, ,
. T
. T .
H F 3.3,
, ,
. F 3.4 M
#1, . T
.
200
220
240
260
280
300
320
340
360
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5
()
()
. C
M 1 M 2 M 3
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3.4 #1 = 1, 2, 3, 4
K ,
. T
. T
S . I F 3.4 ,
. T M #2 #3,
.
F ,
. H
.
3.3.2
P
A ,
S F. R 3.3, M #1
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3 3.5 . T
. F 3.5 .
3.5 #1 = 3.1, 3.2, 3.3, 3.4
, S F,
. A ,
S F,
.
I
S F, .
U CFDP, S F,
(F 3.6). T S
F S F.
. . T
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. T
, .
3.6 . .
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F , CFDP,
S F, 1.0 . P
. A ,
. T
S F, S F
. F 3.7 .
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3.7 1 , 3.3 3.75
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S . F,
S F, . S,
,
. M , S F
. E
, ,
S F, .
C , . T
(F 3.8). P
,
. A , , . T
. T
(F 3.9). I ,
CFDP
.
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3.8
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3.9
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3.5
S R
T , S
F. H ,
. A,
,
, S .
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REFERENCES
ANSS A R, R 14.0, H S, CF, ANSS, I.
ANSS A R, R 14.0, H S, FLUENT, ANSS, I.
D, M. D., . T. T. . 5. U S R,
NJ: PH, I., 1998. P.
D, R G, R A. D.
. S P C I, 1991. P.
D, R. "A G O N E C." MS
. M U, 2012. P.
. V. 9. N..: S C C., 2011. P .
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APPENDI A:
HDROSTATIC PRESSURE
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T :
, , .
T
S F . T
.
S , S
. T ,
S F
1 = 01
= 2
= 1
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C , ,
= =
I
=
= 211
= 22
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APPENDI B:
2D AVE GENERATOR UDF
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#"."
, , , , A, A1, A2;
DEFIECGI(, , , , , )
(, =, 0.0);
(, =, 0.0);
/* D C*/
= 3.141592654; = 1.56;
A1 = .0478;A2 = .1790; = 2.7836;
/*D . A */
=2.0**; /* */
A = A1**(* + ) + A2**(* + );
2 = A; /*A A */
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APPENDI C:
2D FLAT ING 6DOF UDF
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#"."
DEFIEDFEIE(F6DF, , , , )
DFA = .192;DFI = .032000;
DFI = .033843;
DFI = .1;
DFEA = E;
DFEA = E;
("2: 6DF ");
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APPENDI D:
AVE TANK ANIMATIONS
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F F F
T F VF.4
F F M
T M VF.4
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M M G
T G M M.4
M M M
T M M.4
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APPENDI E:
SEA ALL ANIMATIONS
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F F
M 1
SV7031A VOF.4
M 2
SV71531A VOF.4
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M 3
SV7021 VOF.4
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V P R C
M 1
SV7031A 1.4
M 2
SV71531A 1 R.4
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M 3
SV7021 1.4
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V P L C
M 2
SV71531A 1 R.4
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V S R C
M 1
SV7031A RC S.4
M 3
SV7021 RC S.4
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V V R C
M 1
SV7031A RC V.4
V V L C
M 2
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