SANDIA REPORT
SAND89–0485
. UC–32
Unlimited Release
Printed March 1989
GEN3D: A GENESIS Database
3D Transformation Program
Amy P. Gilkey,
Prepared
Gregory
D. Sjaardema
by
Sandia National Laboratories
Albuquerque,
New Mexico 87185 and Livermore,
for the United States Department
of Energy
under Contract
DE-AC04-76DPO0789
SF2900Q(8-81
)
California
94550
2D to
Issued by Sandia National Laboratories, operated for the United States
Department of Energy by Sandia Corporation.
NOTICE: This report was prepared as an account of work sponsored by an
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Distribution
SAND89-0485
Unlimited Release
Printed March 1989
UC-32
GEN3D:
A GENESIS
Database
Transformation
2D to 3D
Program
Amy P. Gilkey and Gregory
Engineering
Sandia
Analysis
National
Albuquerque,
D. Sjaardema
Department
Laboratories
New Mexico
87185
Abstract
GEN3D
is a three-dimensional
is generated
by mapping
one of four types
surface,
mesh
and
can
about
but,
dimensional
complex
GEN3D
and
writes
database
and
in terms
used
geometries
analysis
Laboratories,
codes
and
therefore,
used
Albuquerque,
the separate
The
mapping
about
geometries
of several
into
three-dimensional
it is compatible
with
by the Engineering
mesh
the
Analysis
NM.
3
a single
revolving
require
or
a three-
when the sections
geometries.
body.
databases
preprocessing,
Department
and
it can be used to mesh
sections
of two-dimensional
sections
a spherical
are axisymmetric
conditions,
More importantly,
to
three-dimensional
an axis,
that
mesh
according
onto
generated
or boundary
composed
of transformations
to join
two-dimensional
format;
to mesh
dimensions
rotating,
reflecting
loading
The three-dimensional
into three
surface.
mesh and analysis.
three-dimensional
is then
mesh
by offsetting,
can be used
finite element
program.
translating.
a cylindrical
due to three-dimensional
can be defined
GJOIN
onto
be reoriented
an axis.
planar,
a two-dimensional
of transformations:
mapping
then
mesh generation
The code
GEN3D
in the
reads
GENESIS
postprocessing,
at Sandia
National
Figures
1
2
.
.
.
.
.
.
.
.
6
.
.
.
.
,
.
.
7
.
.
.
.
.
8
.
.
.
.
9
and Back Sets
.
.
.
10
.
.
Introduction
1.1
Terminology
1.2
Element
1,3
Front
1.4
Three-Dimensional
Command
Blocks
Input
.
.
.
2.1
Mesh Transformation
~.~
~lesh
2.3
Element
2.4
Front
2.5
Information
Orientation
Block
.
.
.
Types
.
.
19
.
.
21
.
.
24
.
.
~~
30 “
and Back Set Definition
3
Informational
4
Executing
4.2
Special
.
33
hlessages
.
.
.
.
35
Files
.
.
.
.
35
Software
.
.
.
.
35
.
.
.
.
GEN3D
Execution
31
and Processing
and Error
4.1
References
10
Output
.
.
.
.
A
The GENESIS
B
Command
C
Site Supplements
.
C.1
VAX hTMS
.
C.2
CRAY
.
Database
Summary
CTSS
.
37
39
Format
.
43
.
.
.
.
.
.
.
.
.
45
.
.
.
.
.
45
.
.
.
.
.
45
Figures
1.1
Simple
2D mesh input
l.~Trans]ation.
.
.
to GE.N3D
.
.
.
.
,
.
.
.
.
.
.
.
,
.
.
.
.0
.
.
.
.
.
.
.
.
.
.
.
.
13
.
.
.
.
.
14
.
.
.
.
.
.
15
1.3
Rotation
around
line outside
mesh
1.4
Rotation
around
mesh edge
.
.
.
.
.
.
.
.
.
.
.
.
.
.
16
1.5
Warpaboutthel’axis
.
.
.
.
.
.
.
.
.
.
.
.
.
.
17
2.1
Illustration
of Projection
2.2
Illustration
of Mapping
.
.
Procedure
Procedure
for the WARP
for the WARP
POINT
25
Command
azis Command
.
.
26
1. Introduction
GEN3D
is a mesh
two-dimensional
tions
generation
mesh
are available:
(2) rotating
( 1 ) translating
surface.
geometry
surface,
GEN3D
which joint
geometry
is compatible
programs
with
of the finite
element
two-dimensional
higher-order
primitives
encountered
shapes
PATRA.Y
generation
culty,
any desired
Although
FASTQ
being,
developed
Koteras
tries.
These
with
varying
that
any desired
to reduce
[12,14],
programs
geometry
the
or reduce
is a simpler
analyzed
at Sandia
mesh
generation
National
Laborato-
[2] are used to generate
the majority
.Analysis
FASTQ
is based
rewritten
developed
Department.
on the earlier
and enhanced.
to simplify
with
is a
mesh generator
and also employs
meshing
varying
Blacker
required
of commonly
transitions ).
commercial
degrees
[6,5], and
to automatically
of diffi-
and
the need to enter
the geometry
cited
or planar;
7
discretize
above.
however,
or are
the ge-
automatic.
a user-defined
Research
or
geomegeometry
is also in progress
Sjaardema
methods
to the input
to three-dimensional
programs
and
three-dimensional
discretize
~13] are investigating
the two pro-
have been.
~7] are developing
to define the geometry.
and solid modelers
are axisymmetric
define
by the analyst.
and Blacker
general-purpose
Chavez
with
programs
to both
for two-dimensional
of involvement
approach
and meshed
mesh generation
effort
are intended
[~], and Koteras
and
the other
can be defined
additional
generators
amounts
matic
code
geometry.
mesh
bodies
geometry
into a single database.
can be used to generate.
the time and effort required
to eliminate
that
mesh onto a cylin-
to as a 21/2-dimensional
triangles)
and conditions
(for example.
two-dimensional
and three-dimensional
purpose,
put from CAD programs
GEN3D
have been
and PA TRAN,
semi-automatic,
Engineering
program
(for example,
program
almost
grams
Chavez
which
is a general
mesh
databases
Department
[1 l;. It has been totally
the two-dimensional
to be used with the companion
[4] and PATRAN
in the
mesh,
of a two-dimensional
to complement
Analysis
FASTQ
meshes
GENESIS
a
transforma-
of the two-dimensional
referred
in terms
is intended
intended
mesh generation
Q.VESH/RE.TL’.M
reduce
and
used in the Engineering
The two programs
omet ry.
GEN3D
Four
the two-dimensional
is commonly
mesh from
mesh.
an axis, (3) mapping
defined
two or more
a three-dimensional
to the plane
and (4) mapping
The resulting
since it can be completely
GJOIN [3]
creates
the two-dimensional
mesh about
and a single transformation.
ries.
that
normal
the two-dimensional
mesh onto a spherical
drical
program
by transforming
to
~17), Schut t ~16n,
for linking
of mesh generation
the outprograms
manually.
mesh
The
generation
geometries
than
the auto-
of many
due to three-dimensional
of the
load-
ing or boundary
element
conditions.
mesh
dimensional
and
analysis
geometries
in terms
primitives,
or as many
using
meshed
GEN3D
and
geometry
definition
gineering
Analysis
All of the mesh
files in the
format
ated
the
EXODVS
the
PATRA:V,
file format.
:9]or PATRA.Y,
by BLOT
three-dimensional
meshes
programs
using
and
or sections
cannot
file format
Laboratories,
mesh
Analysis
two-dimensional
The
from
and examined
GEN3D
to-
can be
which
used in the EnNM.
Department
write
read
to GEIV3D
can
by GROPE
EXODUS
can be gener-
mesh generator
GEN3D
that
be graphically
to other
writes
displayed
[10~ or N[~kfBERS
by GE.A-3D can be joined
is the
Albuquerque,
programs
input
or any other
mesh generated
with
file format
all of the postprocessing
output
can
of the
primitives.
Engineering
two-dimensional
Each
and then joined
be meshed
[15] database
in the
three-
if the primitives
GEN3D,
[19] database
National
finite
complex
geometries.
using
to the other
at Sandia
format,
Therefore,
files,
that
of the EXODUS
generation
by FASTQ,
can be meshed
files in the GENESIS
portion
EXODUS
primitives
to mesh
of two-dimensional
and then joined
Department
with a three-dimensional
can also be used
of several
~3]. The primitives
writes
be analyzed
GE.N3D
as possible,
PATRAN
reads
must
of transformations
GJO1.N
with
code.
composed
be defined
gether
the body
[18:.
The
three-dimensional
GJO1.Y.
1.1 Terminology
GE.Y3D
generates
The available
translation
For a translation
specified
then
rotation
a three-dimensional
transformations
amount
negative
in the volume
rotation
transformation
ing the
two-dimensional
The three-dimensional
rotating
warping
transformation,
in the
generated
The
warping
surface
with
spherical
where
a specified
surface
second
is called
is then
translated
mesh.
mesh
an axis parallel
“swept”
is
mesh.
by rot at axis.
out by the
mesh.
maps
radius
of curvature
the two-dimensional
of curvature.
where the center
“axis warp”
normal
mesh
to the Y coordinate
in the volume
a
mesh
mesh and the displaced
the three-dimensional
generated
is displaced
three-dimensional
of curvature
is a Line that
Two
mesh
surfaces
is a point,
lies in either
in this document.
to the surface
The warped
a circular
can be specified:
of the planes
“point
a
surface
defined
by
warp”
and the
two-dimensional
mesh
to form the three-dimensional
mesh is assumed to lie in the X-Y coordinate Plane
8
onto
and a cylindrical
X = O or Y = O. The first warp type is called
the equations
1the two.dimension~
about
mesh is then
The
the original
generates
transformation
the center
a two-dimensional
the two-dimensional
Z direction.
between
mesh
two-dimensional
The
mesh by transforming
are:
mesh.
The
term
“level”
and
elements
that
dimensional
nodes
refers
are created
nodes
and
to a single
by doing
and elements
elements.
translation
or rotation.
a single
Normally,
one three-dimensional
element.
from each two-dimensional
node and an additional
the three-dimensional
shows
a two-dimensional
mesh
translated
from
each two-dimensional
element
The
node
elements
als are eight-node
hexahedrons.
Figure
a two-dimensional
display three-dimensional
result of a translation.
Figure
1.4 shows
shows
a warp
Element
Blocks
The
GENESIS
database
represents
If the mesh
plement
block
a different
a material
The
tunnel
geomechanics
must
1.1
are generated
11 nodes
be a four-node
mesh.
are generated
quadrilateral.
four-node
Figures
an axis at the edge
allows
in the
and/or
The
quadrilater-
1.2, 1.3, 1.4 and
1.5
of the mesh,
and
Figure
1.5
by “killing”
element
blocks.
Each
a “tunnel’”
block
to im-
of an input
element
element
blocks,
three-dimensional
The user specifies
used
into
the user to specify
the levels
levels.
mesh
material.
in a three-dimensional
is commonly
problem
type
through
into several
of levels
block
Figure
1.2 shows the
10 elements
in 280 elements;
all elements
GE.Y3D
in one or more
the number
10 levels;
Figure
in 440 nodes.
rectangular
element
change
is transformed
and
For example,
from the two-dimensional
around
groups
is translated,
the elements
per level
the Y axis.
1.2
block
node is generated
meshes generated
from the input mesh. Figure 1.2 shows the
Figure 1.3 shows a rotation
around an axis outside the mesh,
a rotation
about
per level
and 40 nodes.
has
database
generated
of the two-
the two-dimensional
is generated
360 degrees).
resulting
in the two-dimensional
1.1 shows
mesh
resulting
three-dimensional
element
nodes
node at the back side of the last level
28 elements
element
from each two-dimensional
Each
is rotated
with
10 times.
or rotation
from”
One three-dimensional
mesh
mesh
same
translation
are said to be “generated
from each two-dimensional
(unless
Three-dimensional
block
to analyze
the
the elements
block.
each consisting
the starting
and ending
the TUNNEL
with
sequential
in the tunnel
.4 tunnel
mining
blocks
of
levels
command.
of a drift
in a
as a function
of
time.
If the mesh is rotated
like other
new nodes
blocks
around
the center
are overlaid
which
mand ) and
each
elements,
border
specially
two-dimensional
the edge of the mesh and the center elements are handled
elements
on the center
the center
handled.
element
become
nodes.
of rotation
Only
six-node
To eliminate
must
the center
9
this problem,
elements
and
the element
(with
the CENTER
com-
element
is generated
from
be identified
one three-dimensional
bordering
wedge-shaped
for each
90-degree
quadrant.
As
the elements
get farther
two-dimensional
rot ated
element
elements.
Elements
minimum
increases.
Figure
in a center
An element
from the center,
borders
the
in the same
slot in the connectivity
of 2. If nrot,/nguad
nrot/(2nquad
Front
and Back
Sets of nodes
The mesh
must
restrictions.
is equal to the
elements
must
are found
have
the same
must
be rotated
of rotations
of rotations
appear
a complete
per quadrant
per quadrant,
the X axis in the center
sides may be defined
sets are transformed
A front
node
includes
all of the four-node
must
there
must
database.
The
block.
set includes
into three-dimensional
sets and repeated
for each
mesh.
all of the two-dimensional
or side set includes
in a GENESIS
sets of only the front or back of the three-dimensional
nodes.
Similarly.
faces which make up the two-dimensional
the nodes
.4 back node or side set cannot
degrees
the normal
Sets
The user may create
node
with
X coordinate
elements
and the number
along
from each
to certain
to the centermost
is the number
and sets of element
two-dimensional
level,
conform
adjacent.
sequence.
) elements
merge
the lower left node in each element
(90, 180, 270, or 360 degrees)
be at least
1.3
The
connectivity.
For example,
structure.
be a multiple
must
adjacent
generated
the edge of the mesh.
if and only if its minimum
connectivity
quadrant
around
command)
The elements
element
of elements
the elements
a rotation
(CENTER
the center
for the mesh.
by searching
Eventually
1.4 shows
block
the number
since the generated
or element
be defined
shape
a front
side set
elements.
A back
faces on the back side of the last level.
if the three-dimensional
has no “back”;
however,
mesh is rotated
front
360
node or side sets may
be defined.
1.4
The
Three-Dimensional
three-dimensional
generated
of the
blocks.
level.
from
nodes
all elements
For non-tunnel
In general,
element
so that
blocks,
depends
on the
item
blocks),
three-dimensional
consecutively.
element
together
all the three-dimensional
are grouped
all the
are numbered
in each level are grouped
with
block
type.
the elements
elements
nodes
The numbering
generated
For tunnel
in the next
from a two-
together.
items
(nodes
or elements
for each level are processed
This is true for the nodal
(for non-tunnel
node
elements
all three-dimensional
two-dimensional
are numbered
a two-dimensional
three-dimensional
dimensional
Output
coordinates,
the element
before
order map,
the node sets, and the side sets.
10
or sets)
proceeding
generated
from a
to the next item.
the element
connectivity
fianslation
Transformation:
from each t wo-dirnensional
Z coordinate
successive
the
For rotations.
of the
is counterclockwise
X coordinate;
the
nodes.
to the generated
three-dimensional
The Y coordinates
angle
of the two-dimensional
Warping
Transformation:
ordinates
warp
nodes.
maps
nates
from
mesh
and
surface
gradient
the
of the warp
in more
of rotation,
are copied
and the edge type.
and
distance
the
surface.
warp.
commands
three-dimensional
of curvature.
mesh;
are calculated
distance
node
A cylindrical
coordinates
to the three-dimensional
to the three-dimensional
to the original
The X and 1- coordi-
The t we-dimensional
Z coordinate
from
chapter
describe
cor-
the other
the
measured
in the two-dimensional
in the following
the co-
The point-centered
to the generated
the radius
are available:
transformations,
radius
along
of
the
mesh.
The
the warping
pro-
options.
The
detail.
A gradient can be specified for each of the transformation
affects
the
and Z. is the z
transformations
a spherical
from
axis are copied
is equal
from
Zc
In the warping
of warping
by the axis-centered
that
+
of warping
warp.
are copied
generated
descriptions
types
mesh
such
The
offsets
– Zc)sino/
is calculated
coordinate
level.
of rotation
node.
of the type
to the warping
of each
are:
(z,- Zc)cosq
Two
Z coordinate
angle
The center
The X and Z coordinates
the two-dimensional
the
the
nodes
onto
curvature
Gradient:
on each
are functions
from the two-dimensional
mesh
two-dimensional
cedure
from it; the
for the nodes
on the first level are copied
the two-dimensional
is generated
responding
–(ql
and axis-centered
are functions
and
of level /, ZC is the center
coordinate
point-centered
node
of nodes
z =
x =
surface
generated
Z coordinates
down the Y axis,
X coordinates
01 is the rotation
the X and
two-dimensional
if looking
two-dimensional
warp
are copied
level.
X coordinate
where
nodes
on the first level and is decreased
Transformation:
rotation
the X and Y coordinates
node to the three-dimensional
is zero for nodes
Rotation
of the
For translations,
the spacing
oft he levels.
The displacement
or thickness
where:
tottran
t~
x
=
(grad-1
(gmdn-n
{ tottran/ntran
t,
=
t~
~ 1)
if grad # 1;
if grad = 1.
X (JTQd’-l
11
of level i is i,
where
toftran
is the total
of translations.
translation,
For rotations,
grad is the gradient>
ioffran
and nfran is the total number
is the angle of rotation
and t, is the rotation
of
level 2.
Orientation:
After the three-dimensional
and orientation
The
of the mesh are calculated
specified
revolutions
it is reflected
specified
Element
copied
Side
the
about
tolerance
and Node
coordinate
The element
Sets:
to four nodes
or zeroing.
offsets,
coordinates
and then
less than
the
attributes
elements
level
(if any).
by adding
from the two-dimensional
element
are
generated
from it.
node set is repeated
Each
the adjacent
on each level and
side of an two-dimensional
two nodes
side set is
on the next level, and each
on each level.
Records:
Q.% records and coordinate
ten
to the output
the
GE.N3D
database
program
‘bY;’, and
“QUAD”.
.411 nodal
the final position
reflecting.
by the coordinate
axes.
Each two-dimensional
side of the last
set is repeated
followed
offsetting,
zeroed.
to the three-dimensional
expanded
“X”,
the specified
are then
Attributes:
back
Other
are performed,
mesh has been generated,
by revolving,
“Z”.
if they
is added
to the input
The element
If so, the names
existed
block
are changed
and element
on the input
QA record(s).
names
block names
database.
The coordinate
from the input
to “HEX’”.
are only w-rit-
A QA record
database
names
should
for
are
all be
Figure
1.1.
Simple
2D mesh input
13
to GEN3D
Figure
with
1.2 shows
the meshin
the following
commands:
Translation
Figure
1.2.
Figure
1.1 translated
TRANSLATE
END
14
10, 0.1
10 levels.
The mesh was created
I
Figure 1.3.
Rotation
around line outside mesh
Figure 1.3 shows the mesh in Figure 1.1 rotated
9 levels for a total
center of rotation is slightly outside the mesh edge.
commands:
9, 270, 1,-0.05
15
The
The mesh was created with the
following
ROTATE
END
of 270 degrees.
Figure 1.4.
Figure
The
1.4 shows
center
following
the mesh
of rotation
Rotation
in Figure
around
1.1 rotated
40 levels for a total
is at the edge of the mesh.
commands:
ROTATE
CENTER
END
40, 360
1
16
mesh edge
The
mesh
of 360 degrees.
was created
with
the
Figure
1.5.
Warp
about
the Y axis
Figure 1.5 shows the mesh in Figure 1.1 warped about the Y axis for 2 levels for a total
of 0.04 with a radius of cur~”ature of 0.4. The mesh was created with the following
commands:
WARP Y 2 .0410.4
END
17
18
2. Command
The
user directs
Input
the processing
The commands
are in free-format
●
Valid delimiters
●
Either
to the following
parameters.
syntax
rules.
letters
are acceptable,
but
lowercase
letters
are
to uppercase.
in any command
following
A command
and any characters
command
line starts
a comment.
The “S” and any char-
it on the line are ignored.
may be continued
is appended
Each
adhere
to set processing
or one or more blanks.
or uppercase
. A “$>’ character
●
commands
and must
are a comma
lowercase
converted
acters
by entering
over several
following
to the current
lines with an “>” character.
it on the current
line are ignored
The “>”
and the next line
line.
keyword
or ‘-verb”
is a character
string
has an action
followed
by a variable
number
of
parameters.
A command
verb or keyword
It may be abbreviated
as long as enough
matching
characters
one of the valid comm~nds.
are used to distinguish
it from other
commands.
The
meaning
rameters
default
●
and
type
are optional.
of the
If an optional
value is supplied.
A numeric
parameters
Valid entries
parameter
numeric
may be in any legal integer
A string
parameter
parameter
on the command
field is blank,
for parameters
may be a real number
in any legal FORTRANT
●
depends
format
verb.
Most
pa-
a command-dependent
are:
or an integer.
A real number
(e.g., 1, 0.2$ -l E-2). An integer
may be
parameter
format.
is a literal
character
string.
Most
string
descriptions
are:
parameters
may be
abbreviated.
The notation
conventions
used in the command
●
The command
verb is in bold type.
●
A literal
is in all uppercase
string
SAN SERIF type and should be entered as shown
(or abbreviated).
●
The value of a parameter
is represented
19
by the parameter
name
in italics.
●
The default
value of a parameter
of a parameter
the initial
set by a command
setting
is in angle brackets
is usually
is given with the default
(“’< >“ ). The initial
the default
parameter
or in the command
value.
description.
value
If not,
2. I
Mesh
Transformation
TRANSLATE
ntran <1>, foffran <1.0>. grad <1.0>,
TRANSLATE
causes
the 2D mesh
number of levels is nfrczn: which
each input
2D element.
gradient of grad.
command
The
supersedes
The gradient
The
affects
to be translated
to create
is also the number
total
range
translation
previous
...
of the
is always
the spacing
of 3D elements
Z coordinate
in the negative
transformation
The
the 3D mesh,
derived
from
is foftran
with a
Z direction.
This
commands.
of the levels.
The displacement
or thickness
of
level i is ~i where:
tottTan
=1 =
:1
llultiple
-1
=
the
if grad
(g,adnfr~n–l)
{ tottran,lntran
translation
by repeating
(grad-l)
x
# 1;
if gTad = 1.
x grad’-]
increments
can be specified
rzfrarz. toffran.
with a single translate
gTad parameters
on the
command
command
line.
For
example. the following command specifies two translation increments of thickness
1.0 for a total translation of 2.0:
TRANSLATE
.411 increments
ROTATE
must
be specified
with
nrot <1>. tofdeg <360.0>.
ROTATE
causes
the 2D mesh
levels is nrot, which
2D element
(With
The mesh
is rotated
totdeg
degrees.
rotation.
The
angle
The center
a single TRANSLATE
to be rotated
each
command).
51.02.0
gTad <1.0>.
of rotation
input
51.00,5,
cenmt
exception
a total
of
the 3D mesh.
of 3D elements
of those
nTo~
of each rotation
of rotation
<0.0>
to create
is also the number
the
affected
rotations
is equal
affects
of the levels.
through
tot deg X
(
(g,:d::Ot:
)I )
The angular
if gTad # 1;
=
if grad
{ totdeg/nTot
2]
fr~m
CENTER
a total
arc of
the previous
command).
9i where:
81
derived
grad are only meaningful
cenrot and the gradient
the rot ation
The number
by the
to grad times
if no center element blocks are defined (see the CENTER
The gradient
command.
= 1.
rotation
of level i is
Rot at ion is always
formation
counterclockwise.
This
command
supersedes
previous
t rans-
commands.
WARP POINT
n.tran <1>,
<1.0>. grad <l.0>,
tottran
radius <no default>,
edge-iypc
<RADIAL>
WARP
POINT
create
the
radius.
radius
The center
above
number
greater
mesh.
the
than
surface
X-Y plane.
created
nodes
mesh
and it is a distance
of
2D element.
which
is also the
The total
thickness
of grad. Note that
radius must
to the boundary
transformation
the center
of curvature
and Figure
transformation
of the original
of the generated
of curvature
is equal
to radius.
Figure
the RADIAL
2.2 illustrates
is performed
The warped
surface
nodal
nodal
of radius
positions
the warped
a distance
radially
of the 2D mesh
such that
in two parts,
Zw
=
Z!o
Yw
=
?/0
.zW
=
radius
positions
First.
The gradient
– ~~radius2
to the
by translating
2,1 illustrates
edge type.
the warped
values;
of curvature
nodal
2D mesh onto
The original X
the Z coordinate
is equal to radius.
– x; – y;
parallel
Figure ‘2.1 illustrates
position.
of tottran
for either
at the same
to the center
are projections
are determined
nodal
remain
the distance
radius;
2D
nodes are
(0.0, 0.0, radius)
by mapping
the original
positions
(zw, Vu. ;U.) are calculated
a spherical
surface with a radius of curvature
equal to radius.
is calculated
of the 2D
node (zW. vu, ~~ ) where ZU and yw are the coordinates
and JU is determined
such that the distance from the
edge type,
and Y coordinates
be
commands.
to the X and Y coordinates
the X and Y coordinates
to the center
the VERTICAL
to
VERTICAL
or RADIAL, determines
how the
If VERTICAL is selected, the X and Y coordinates
is selected.
2D node.
node
to
equal
is nfran,
the Z-axis
previous
are equal
of the warped
of the original
of levels
a gradient
from
surface
of curvature
can be either
to lie on a line from
coordinates
a spherical
on the Z-axis,
from each input
distance
onto
has a radius
number
with
toiban
are generated.
If RADIAL
calculated
The
supersedes
which
nodes
is located
derived
is
command
of the generated
The
to be mapped
spherical
the maximum
edgc_fype,
warped
2D mesh
of curvature
radially)
This
node.
the
The
of 3D elements
(measured
The
causes
3D mesh.
to the Z-axis onto a spherical
this process.
either
A total
of ntran
translations
with a gradient
of grad.
Note that
Then,
vertically
the generated
or radially
are performed
the thickness
from
through
is measured
edge-type.
affects
the spacing
of the levels.
The thickness
or length
of level i
is z, where:
tottran
JI
(grad–l)
(gradn~ran-l)
x
=
if grad # 1:
{ tottran/ntran
.,—
-1
:1 x
—
WARP azis <no default>.
edge.type
= 1.
grai7-1
ntran <1>,
tottran
<1.0>,
grad <1.0>,
radius <no default>,
<R.ADI.AL>
This
second
surface
form
centered
be either
WARP command
of the
on the azis-axis
number
of curvature
gradient
2D element.
of grad.
edge.fypc,
created
nodes
surface
is located
of levels is ntran,
each input
which
the 2D mesh
the 3D mesh.
has a radius
a distance
This command
to a cylindrical
The azis parameter
of curvature
of radius above
is also the number
The total
which
maps
to create
X or Y. The cylindrical
The center
The
if grad
the X-Y plane.
of 3D elements
thickness
(measured
supersedes
previous
must
equal to radius.
radially)
derived
is
from
with a
ioftran
transformation
The
commands.
VERTICAL
or RADIAL. determines
how the
is selected! the X and Y coordinates
If VERTICAL
can be either
are generated.
of the generated
nodes are equal to the X and Y coordinates
of the projected
of the generated
nodes
2D node. If RADIAL is selected. the X and Y coordinates
are calculated
the warped
mapped
The
2D node.
mesh
cylinder
about
is X, then
node
transformation
is performed
(rW, yW, :U ) are calculated
positions
Y and
to lie on a line from the center of curvature
to the coordinates
of
of the
node (xU,, Vu, ZU) where Zu. yU.. and ;U are the coordinates
the
azis-axis
the original
a radius
X-coordinate
Z coordinates
measured
such
along
of the node in the 2D mesh.
is Y, the X>s and Y’s are switched
nodal
positions
the warped
a distance
radially
are determined
nodal
position,
of toitran
for either
The gradient
of ntran
translations
with a gradient of grad. Note that
If aris
the generated
is equal
Then,
vertically
a
The generated
in Figure
discussion.
either
nodal
onto
to radius.
from
surface
This is illustrated
warped
2D mesh
value.
the distance
the cylindrical
in the above
the
equal
at the same
that
by translating
A total
First,
the original
of curvature
remains
are calculated
to the X-Z plane
coordinate
with
in two parts.
by mapping
to the X
2.2. If azis
the generated
or radially
are performed
the distance
from
through
is measured
edge. type.
affects
the spacing
of the levels.
23
The thickness
or length
of level i
is ~i where:
tottran
The
resulting
warped
where
2.2
:1
=
=1
=
the
x
if grad
# 1:
if grad
= 1.
gTad’-’
will have
Y axis,
or
an cylindrical
angle
radians
ymBx/Ta~~us
of x~,X/ radius
if warped
z and y coordinates
about
radians
if
the X axis,
in the 2D mesh.
Orientation
REVOLVE
a+,
REVOLVE
RESET
miegl,
causes
parameter
pair
rotate.
azis2,
<initial
REVOLVE
the
miegz,
<last
. . .
selection>
condition>
transformed
REVCEN
specifies
3D mesh
Each
to be rotated.
(X or Y or Z) and the number
The axis refers to the “~iewing” axis. not to the object axis.
are according
an axis
to right-hand
rule.
The center
of the rotation
( azis,
mieg)
of degrees to
The rotations
is specified
by the
command.
Revolutions
are cumulative:
REVOLVE
The
REVCEN
21
x~aX an d y~,X are the maximum
Mesh
ified.
{ tottran~ntran
3D mesh
about
(grad-1)
(g,adn!ran–1)
x
rccn <2D
however,
only one center
RESET command
minimum
resets
X coordinate>,
of revolution
may be spec-
to no rotation.
ycen <2D
minimum
Y coordinate>,
ccen <0.0>
REVCEN
sets the center
of revolution
for the
REVOLVE
command
to the point
(zcen,ycen,zcen).
OFFSET
xofl<().()>,
yofi<().()>,
zoff<().()>
OFFS ET specifies offsets to be added to the transformed
3D coordinates.
If a
REVOLVE command has been issued, the 3D mesh is rotated before it is offset.
MIRROR
azisl, azis2, . . . <no default>
MIRROR
RESET
Ml RROR
plane.
<no reflections>
causes the transformed
Each
azis parameter
mal to the reflection
repositioned
plane.
by the REVOLVE
3D mesh
specifies
Reflections
to be reflected
about
an axis (X or Y or Z) which
are performed
and OFFSET
commands.
after
a coordinate
is the nor-
the mesh has been
WARP
POINT
22220
VERTICAL
z
I
mdius
Y
\
iottmn
—
x
Figure 2.1.
Illustration of Projection
Procedure
25
for the WARP POINT Command
z
WARP Y 22210
RADIAL
Y
\
tOttran
\
Figure
2.2.
~ustration
of Mapping
Procedure
26
forthe
WARP azis Command
‘The MIRROR
Reflections
are not
reflection
about
are performed.
correctly
ZERO arisl.
the X axis will be performed,
the element
arisz.
connectivity
X Y X is entered.
If an odd
and the sideset
number
only one
of reflections
face numberings
will be
<no
rninz. ., .
automatic
zeroing>
ZERO sets all airis, coordinates
The ZERO RESET command
used to zero nodal
errors
is, if MIRROR
that
cumulative.
reflection,
reordered,
mini.
ZERO RESET
re~et~
to no
RESET command
they
with an absolute
resets
coordinates
have slightly
nonzero
that
value less than
to no automatic
should
values.
‘)7
be equal
zeroing.
miw equal to zero.
This
command
to zero, but due to roundoff
is
2.3 Element
Each
Types
element block is assigned one of the following block types:
●
.A normal block requires no special handling.
●
.~ tunnel block (translation
●
.4 center block (rotation around mesh edge only) has some elements
the mesh
Initially.
The
Block
edge that
all blocks
blocLid
BLOCK
defines
supersedes
TUNNEL
the specified
<no
block identifier.
The identifiers
element
TUNNEL
default >.
sfarf
blocks>
blocks
or CENTER
as normal
This
of levels>.
inc <1>
defines
command
is issued.
must be in effect before this command is issued. If a ROTATE
al] tunnel blocks are changed to normal blocks,
the specified
block.
siurd.
\vith each block
single
block.
For example.
element
a separate
having
block
3X) element
inc levels.
command
commands.
end <number
<1>,
blocks.
TUNNEL
For each tunnel
are
command,
. . . <all element
any previous
block-id
blocks.
BLOCKS
block. idl. block-idz.
which border
of rotation.
below refers to the element
by the SHOW
displayed
BLOCK
is the center
are normal
parameter
only) changes materials as it is translated.
as a tunnel
block
Any levels
block.
is created
after
.4 TRANSLATE
command
starting
at level
level end are put in a
the commands
TRANSLATE
15, 15.0
TUNNEL 999, 5, 9, 2
create
five blocks
elements
The
block
assigned
consisting
of element
of the following
3D elements
(derived
in levels 1, ‘2. 3, and 4,
2) the elements
in levels 5 and 6.
3) the elements
in levels 7 and 8,
4) the elements
in level 9,
5) the elements
in levels 10, 11, 12, 13, 14, and 15.
consecutive
the 2D
block 999):
1 ) the elements
identifier
from
of the
first
identifiers
block
greater
identifier.
28
is always
than
the
block-id.
maximum
new blocks are
existing (and new)
The
CENTER
Idock.idl. block-idz,
CENTER
mand
defines
. . . <all element
the specified
must be in effect before
a complete
quadrant
le~els must
be a multiple
ber of rotations.
center
element
blocks>
blocks
this command
as center
is issued.
(90. 180, 270 or 360 degrees)
there
of 2 for each 90 degrees
must
be at least
nrof/2
.4 ROTATE
blocks.
com-
The mesh must be rotated
and the number
of rotation.
elements
of rotation
If nrot is the num-
along
the X axis in the
block.
If a TRANSLATE
command
is issued,
all center
blocks
blocks
are defined.
the center
of rotation
is ignored.
The center
of rotation
is the minimum
are changed
to normal
blocks.
If center
mand
in the center
blocks.
defined
by the ROTATE
coordinate
com-
of all elements
2.4 Front and Back Set Definition
NSETS FRONT
NSETS
must
or BACK
defines
be unique
and back node
front
from
default>.
sef.idl.
sef.idz.
. . . <no default>
or back node sets with the given identifiers.
existing
node
set identifiers
The identifiers
and previously
defined
front
set identifiers.
Back sets cannot
SSETS FRONT
<no
be defined
or BACK
SSETS is equivalent
on a 360-degree
<no default>,
set.idl,
to the NSETS
command
30
rotation.
set.idz,
except
. . . <no default>
that
it defines
side sets.
2.5
Information
and
Processing
SHOW command <no parameter>
SHOW displays
the set t ings of parameters
SHOW
the command
BLOCK displays
relevant
tot he command.
information
about
For example.
all the element
blocks.
LIST VARS
LIST VARS displa}s
the database
number
title;
a summary
of the input
the number
of nodes,
database.
elements,
The summary
and element
blocks:
includes
and the
of node sets and side sets.
HELP command
<no parameter>
HELP displays
information
If no parameter
is given,
system-dependent
about
the program
all the command
command
verbs
and may not be available
given as the parameter.
are displayed.
This command
is
on some systems.
END
END ends the command
input
and starts
QUIT ends the command
input
and exits the program
the database
transformation.
QUIT
ing an output
database.
31
immediately
without
writ-
3. Informational
GEX3D
first reads
If a database
and Error Messages
the input
database.
error
is discovered,
format
which
must
be a valid 2D GENESIS
the program
prints
an error
database.
of the following
format:
DATABASE
ERROR - READING
database item
and aborts,
.After the database
warning
message
the command
performed.
description
is read.
command
may appear
is usually
in response
ignored.
If the message
may be helpful.
input
is requested
to a command.
If only a warning
is not
The
from
sufficiently
display
the user.
An error
If an error message
is printed,
informative,
after
the command
GEA-3D
transforms
the command
the appropriate
shows
or
appears.
is usually
command
the effect
of the
command.
11’hen the command
the 3D database.
The program
memory.
input
is complete.
The transformation
allocates
memory
dynamically
the following
message
is printed:
FATAL ERROR - TOO
and
the
system.
this
The
Another
solution
is to run the program
reducing
has certain
manual
the number
may
change.
If the user exceeds
limit
is too restrictive,
should
first
try
a limit,
the code sponsor
of GEN3D.
33
to obtain
requires
more
memory
on the
fashion.
less memory.
The limits
is printed.
be notified
runs OUt of
REQUESTED
cases the limits
a message
should
If the system
in a less memory-intensive
limit ations.
In most
and writes
1.4.
MEMORY
of transformations
programmer-defined
since they
adequate.
releases
user
DYNAMIC
aborts.
than
in future
MUCH
the f?D mesh
in Section
as it is needed.
program
For example,
C;EN3D
is explained
are not
are chosen
specified
in
to be more
If the user feels the
so the limit
may be raised
34
4. Executing
The details
manager
that
GEN3D
of executing
of any system
explains
all currently
that
are dependent
on the system
runs GEN-3D should
how to run the program
supported
4.1 Execution
The table
GEX3D
systems
on that
provide
particular
are in Appendix
being used.
a supplement
system.
below
summarizes
GEN3D’s
Site supplements
~ Type
, File Format
~
input
~ input
~ Section
‘,
output
~ output
!
Number
standard
[-ser input
standard
9
; input
‘ Appendix
.4 ~
GENESIS
database
10
~ output
~ Appendix
.4 i
of the Sl_-PES library
is written
in ANSI
the VAX Vh!S
●
the OPEN
the S1l PES
FORTR.4X-77
help facility
options
l;
with
the
exception
of the
following
and
for the files.
uses the following
reader,
,8..
features:
●
●
is run. Each file
by the EXXALIE
Software
system-dependent
GEN3D
~
database
All files must be connected
to the appropriate
unit before GEX3D
(except standard
input and output ) is opened with the name retrieved
GEX3D
2
.ASCII
GENESIS
Special
for
C.
file usage.
Enit
t-ser output
4.2
to this manual
Files
Description
routine
The system
package
and FORTRAN
software
package:
[8] which
includes
extensions.
35
dynamic
memory
allocation,
a free-field
36
‘1
. . .4mcrzcan
Rep.
.Yaizonal
Standard
AXSI X3.9-1978.
Programming
American
‘~’PD.4\ P.4 TR..! .Y– G Ikrsion
Products
Division.
Xational
Santa
Standards
Institute.
New York.
Engineering
Software
PD.4
Tech.
1978.
Aria. CA. 1986.
3 Biffle. J. H.. 1523. “Three-Dimensional
.,
Sandia
FOR TR.4.V.
2.1 [’scr”s Guide.
,.
to 1.5?0 Staff).
Language
N-ational
Mesh
Generation
Laboratories.
with
Albuquerque.
GJOIX.’”
(31emo
NM. October
7.
198!3.
:4;Blacker,
T. D., “FASTQ
Xational
Laboratories.
“5’
., Blacker.
[-sers
Ilanual.
.\lbuquerque.
T. D.. Xlitchiner.
J“ersion
Xll,
2.1.”’ S.\ XD8&1326.
July
J. L.. Phillips.
1958.
L. R., and Lin, Y. T.. ‘bKnowledge
System
Approach
to Automated
Two-Dimensional
in Procccdings
of .4.$.IIE Compuiers
Generation.”’
pp. 1.53-]62.
:6:Blacker.
T. D.. Stephenson.
11. B.. llitchiner.
Quadrilateral
ill Proc(td/ngs
\lesh
OJ .4 S.IU’
J. L.. Phillips.
Generation:
ll-lntcr
.
(’havez.
Finite
:$;
P. F.. Henderson.
Element
llodeling
l-sing
in Proci~dings
Engineering
(’onfcrcncc
Package
Laboratories,
Albuquerque,
Finite
Element
Albuquerque,
[10] Gilkey,
Analysis,..
NM.
Sciences,”
19S$.
Three-Dimensional
Intelligence
Computers
Ln
1988.
L. M.. “SVPES
S.4ND86-0911,
A Software
Sandia
National
1986.
and Curve
S.AND88-1432.
System
Plot
Sandia
Program
for the Output
National
Laboratories,
Database
Examination
of a
In preparation.
A. P., “GROPE
Program,”
Intcrnat!onal
.August
NM, September
Mesh
.Ifccting.
and .Artificial
If”. C.. and Taylor,
for the Engineering
[9]Gilkey, A. P., “BLOT-A
Data
of 19$8 .4 S-\lE
D. P.. ~lills-Curran.
~tilities
Solid llodel
and Exhibition.
L. R.. and Lin.
A., ‘“.~utomatic
XI.. and Razdan.
Techniques.’”
Flanagan.
IIesh
Confcrcnc~.
.4 Knowledge
.4nnuo/
.-.
I
Quadrilateral
in Engznecrzng
198$.
}’. T.. ‘.4utomated
.4pproach.’”
Sandia
(RS1523/88/02
- -~ GEXESIS/EXODLTS
), Sandia
National
Laboratories,
Albuquerque,
NM. In
preparation.
[11] Jones,
R. E., “LTsers Manual
Program,”
SLA-74-0239,
for Q.MESH,
Sandia
National
37
A Self-Organizing
Laboratories,
Mesh Generation
Albuquerque,
~~~, 1974.
J, R,. ..Lanlination:
’12; Koteras.
Hexahedral
\Ieshes.
.41buquerque.
13;
Koteras.
XXI. February
J. R.. Selleck.
Quadrilateral
National
Mesh
National
Laboratories,
T. D. Communication
.Analysis.”
.Albuquerque.
to G. D. Sjaarderna.
Regions.”
NJI.
.41buquerque.
January
(Jlemo
Xhl.
to D. L, \loore.
Sandia
]989.
D. P.. ‘.EXODI’S:
.4 Finite
S.41XD87-2977.
September
on Transferring
for .4utomated
S.4XD86-20S9,
for Pre- and Post-processing.”
1988.
Ilodel
2857).
Sandia
Geometry
Sandia
Definitions
National
for
Laboratories,
X3!. .4pril 6.1989.
Sjaardema.
G. D.. ‘.Finite
Evaluation
Report
Albuquerque.
N\!.
Element
Analysis
.’- S.4ND87-288.5.
Sandia
NIarch
Element
“19’. Taylor. L. il..
Element
Ilesh
310dels.”
S11.
on \licrocomputers:
National
(’ode
Laboratories.
1988.
G. D.. ‘-X[-IIBERS.
.Albuquerque.
Albuquerque.
and
Laboratories.
R. E.. ‘“.An .~]gorithm
for Planar
J. .$.. 1513, “(’omments
Albuquerque.
Finite
National
JV. C’.. ~ilke~-: .4. P.. and Flanagan.
File Format
]$” Sjaardema.
Sandia
Quadrilateral
1989,
Generation
Element
Thermal
for Restructuring
C’. B.. and Jones.
Laboratories,
1~~ Alills-Curran,
17!
” S.4XD88-3411.
J. R. and Blacker.
14~ Koteras.
~16~ Schutt.
.A llethod
.4 Ilass
S.AYD88-073i’.
Properties
Sandia
(’calculation
>ational
Program
for
Laboratories.
In preparation.
Flanagan.
D. P.. and llills-C’urran.
\Y. C.. “The
GE\ESIS
S.AXDS6-O91O.
National
Laboratories.
File Fornlat,-’
XNf. May 1986.
38
Sandia
Finite
A. The GENESIS
The following
c
--Open
Database Format
code segment
the
GENESIS
reads
a GENESIS
database
file
database.
NDB = 9
OPEN (UNIT=NDB , . . . . STATUS= ‘ OLD‘ , Few=
c
c
c
--Read
the
the
database
of
the
sizing
database
c
c
c
c
c
c
c
c
c
c
NUMNPS, LNPSNL,
--NUMNP - the
--NDIM
- the
number
of
of
number
coordinates
of
number
of
element
--NUMNPS
- the
number
of
node
--LNPSNL
- the
length
of
the
--NUMESS
- the
number
of
side
--LESSEL
- the
length
of
the
--LESSNL
- the
length
of
the
the
nodal
--Read
the
READ (NDB)
node
blocks
sets
node
sets
node
side
sets
element
side
sets
node
list
sets
list
list
coordinates
((CORD(INp,I),
element
per
elements
- the
--Read
LE~SNL
nodes
--NELBLK
READ (NDB)
c
NELBLK,
NUMESS, LESSEL,
number
--NUMEL - the
(CHARACTER*80)
parameters
READ (NDB) NUMNP, NDIM, NWEL,
&
‘)
title
READ (NDB) TITLE
--TITLE
- the title
--Read
‘~FOwATTED
order
(MAPEL(IEL),
INP=I,NuMNp),
map
(each
element
IEL=l,NUMEL)
39
I=I,NDIW
must
be
listed
once)
c
--Read
the
DO 100
c
c
c
c
c
c
c
c
c
--Read
element
blocks
IEB = 1,
the
NELBLK
sizing
parameters for this element block
READ (NDB) IDELB, N~ELB, N~LNK, NATRIB
--IDELB - the element block identification (must be unique)
--NUMELB - the number of elements in this block
-.
(the sum of NUMELB for all blocks must equal NUMEL)
--NUMLNK - the number of nodes defining the connectivity
-for an element in this block
--NATRIB - the number of element attributes for an element
-in this block
--Read the connectivity for all elements in this block
READ (NDB) ((LINK(J,I), J=I,NUT4LNK,I=I,NUMELB)
c
--Read the attributes for all
READ (NDB)
((ATRIB(J,I),
elements
J=l,NATRIB,
100 CONTINUE
40
in
this
l=l,NtiELB)
block
c
--Read the node sets
READ (NDB)
c
c
c
c
c
c
c
c
c
c
c
c
c
c
--Read the side sets
READ (NDB)
--IDESS READ (NDB)
--NEESS -
c
(IDESS(I), I=I,NUMESS)
the ID of each side set
(NEESS(I), I=I,NUMESS)
the number of elements in each side-set
READ (NDB) (NNESS(I), I=I,NuMEsS)
--NNESS - the number of nodes in each side set
READ (NDB) (IXEESS(I), I=I,NUMESS)
--IXEESS - the index of the first element in each side set
.(in LTEESS)
READ (NDB) (IXNESS(I), I=l,N~ESS)
--IXNESS - the index of the first node in each side set
-(in LTNESS and FACESS)
--LTEESS
READ (NDB)
c
I=I,NUMNpS)
READ (NDB) (LTNNPS(I), I=l,LNpSNL)
--LTNNPS - the nodes in all the node sets
READ (NDB) (FACNPS(I), I=i,LNpSNL)
--FACNPS - the factor for each node in LTNNPS
READ (NDB)
c
(IDNPS(I),
--IDNPS - the ID of each node set
READ (NDB) (NNNpS(I), I=I,NuMNpS)
--NNNPS - the number of nodes in each node set
READ (NDB) (IXNNpS(I), I=I,N~NPS)
--IXNNPS - the index of the first node in each node set
-(in LTNNPS and FACNPS)
(LTEESS(I),
- the
I=I,LESSEL)
elements
(LTNESS(I),
in
all
the
side
sets
l=I,LEWL)
--LTNESS - the nodes in all the side sets
READ (NDB) (FACESS(I), I=I,LESSNL)
--FACESS
- the
factor
for
each
41
node
in
LTNESS
A valid GENESIS
c
--Read
database
the
may end at this point
QA header
or after
any point
described
information
READ (NDB, END= ...) NQAREC
c
--NQAREC - the
DO 110
IQA = 1,
READ (NDB)
c
c
c
c
c
of
QA records
(must
be
(QATITL(l,IQA),
QA title
records;
code
name
code
qa descriptor
each
record
contains:
(CHARACTER*8)
--
3)
analysis
date
(CHARACTER*8)
.-
4)
analysis
time
(CHARACTER*8)
CONTINUE
--Read the optional header text
c
DO 120 I = 1, NINFO
READ (NDB) INFO(I)
--INFO - extra
information
c
--
any
c
--
developer
120
supportive
records
documentation
wishes
(optional)
that
the
that
analysis
(CHARACTER*80)
CONTINUE
--Read the coordinate names
READ (NDB, END=...
c
--NAMECO - the
--Read
the
element
REAr) (ND13, END=..
c
1)
(CHARACTER*8)
c
c
least
1=1,4)
READ (NDB, END=. ..) NINFO
--NINFO - the number of information records
c
at
MAX(l,NQAREC)
--QATITL
- the
-1) analysis
.2) analysis
110
c
number
--NAMELB - the
) (NAMECO(I),
1=1 ,NDIM)
coordinate
names (CHARACTER*8)
type
names
. ) (NAMELB(I) , 1=1 ,NELBLK)
element
type names (CHARACTER*8)
42
contain
code
below.
B. Command
Summary
Mesh
TRANSLATE
ntrarz, toihwz,
causes
Transformation
(page
21)
grad, . . .
the 2D mesh to be translated
to create
the 3D mesh.
ROTATE nroi, toideg, grad, cen~oi
causes
the 2D mesh to be rotated
WAR P POINT
maps
ntran,
tottran,
to create
grad, radius,
the 2D mesh onto
a sphere
the 3D mesh.
edge-type
of radius
radius
and then translates to create
the 3D mesh.
WAR P axis, ntran,
grad, radius,
edge-type
maps the 2D mesh onto a cylinder
of radius
translates
tottran,
to create
Mesh
REVOLVE
REVOLVE
azisl,
arisz,
the transformed
and then
ndegz,
Orientation
(page
24)
...
3D mesh to be rotated.
zcen, ycen, zcen
sets the center
OFFSET
the azis-axis
RESET
causes
REVCEN
ndegl,
radius about
the 3D mesh.
ZOfl,
~Ofl,
of rotation
for the REVOLVE command.
ZOfl
specifies the coordinate
offsets for the transformed
3D mesh.
MIRROR azisl, azisz, . . .
MIRROR RESET
causes the transformed
ZERO azisl, mini,
ZERO RESET
azisz,
minz,
sets all azis2 coordinates
3D mesh to be reflected about the specified axes.
...
with an absolute value less than mini equal to zero.
43
Element
BLOCK
h/OCk.2(iI,
b/0Ck_2&,
Block Types
(page
28)
. . .
defines element blocks as normal blocks (no special handling).
TUNNEL
block. id, start,
end, inc
defines an element block as a tunnel block, with tunnels starting at level start to
level end, incrementing
CENTER block-idl,
defines
center
block.idz,
element
by inc.
...
blocks
as center
blocks
(bordering
of rotation).
Front and Back Set Definition
NSETS
FRONT/BACK,
defines
SSETS
front
front
set..idl,
set-idz,
or back node
FRONT/BACK:
defines
sef_idl,
(page 30)
...
sets.
set_idz,
...
or back side sets.
Information
SHOW
the
and Processing
(page
31)
command
displays
the processing
parameters
set by a command.
LIST VARS
displays
summary
information
about
the input
HELP command
displays information
about a GEN3D command.
END
ends command
input and starts processing.
quits command
input and aborts processing.
QUIT
44
database.
mesh
edge
that
is the
C. Site Supplements
C.1
VAX VMS
The command
to execute GEN3D on VMS is:
GEN3D 2D.database
2D-database
is the filename
2D-daiabase
is omitted.
3D.daiabase
is the
if 3D-database
extension
of the
input
The default
filename
is omitted.
3D_database
GENESIS
database.
A prompt
appears
if
is TAP E9.GEN.
of the output
The
user-input
default
GENESIS
database.
is the base filename
A prompt
of 2D-database
appears
with the
.GEN3D.
If user. input
is given,
SYS$INPUT
(the terminal
the user input
is read
keyboard).
from
this file.
User output
Otherwise
is directed
it is read from
to SYS$OUTPUT
(the
terminal).
GEIS3D
C.2
operates
CRAY
To execute
in either
interactive
or batch
modes.
CTSS
GEN3D,
The command
the user must
have selected
the acclib library and be running ccl.
to execute GEN3D on CTSS is:
gen3d 2D_database
3D-database
i=input
2D_database
is the filename of the input GENESIS
5’D-database
is the filename of the output GENESIS
User input is read from
directed to output,
input,
which
database.
database.
defaults to tty (the
which defaults to tty (the terminal).
45
o=output
The default is tape9.
The default is tapelO.
terminal).
User output is
Distribution:
1510
J.
W. Nunziato
1511
D. K. Gartling
1520
L. W. Davison
1521
R. D. Krieg
1521
G. D. Sjaardema
1522
R. C. Reuter,
1523
J.
1524
A. K. Miller
1530
D. B. Hayes
1531
S. L. Thompson
1533
S. T. Montgomery
1533
A. C. Robinson
1550
C. W. Peterson,
and Staff (12)
(30)
Jr. and Staff (15)
H. Biilie and Staff (12)
and Staff (12)
Jr.
1556
W. L. Oberkampf
2814
P. F.
3141
S. A. Landenberger
3151
W.I.
Chavez
Klein
(3)
3154-1 for DOE/OSTI
6258
D. S. Preece
6314
63’2~
L. S. (’ostin
R. E. Glass
6334
H. J.
6334
R. D. McCurley
6334
J.
6334
R. P.
6334
E. Shepherd
8240
C. W. Robinson
8241
G. A. Benedetti
8242
M. R. 13irnbaum
8243
M. L. Callabresi
S.
(5)
(8)
Iuzzolino
Rath
Rechard
8244
C. M. Hartwig
8245
R. J.
8524
J.
Kee
A. Wackerly
46