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Romin Tomasetti
gmsh
Commits
016ea870
Commit
016ea870
authored
3 years ago
by
Christophe Geuzaine
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2d and 3d boundary layer examples
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examples/api/naca_boundary_layer_2d.py
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examples/api/naca_boundary_layer_2d.py
examples/api/naca_boundary_layer_3d.py
+162
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162 additions, 0 deletions
examples/api/naca_boundary_layer_3d.py
with
293 additions
and
0 deletions
examples/api/naca_boundary_layer_2d.py
0 → 100644
+
131
−
0
View file @
016ea870
import
gmsh
import
sys
import
math
import
numpy
as
np
gmsh
.
initialize
(
sys
.
argv
)
gmsh
.
model
.
add
(
"
NACA 0012
"
)
# create the boundary layer by extrusion, or as a mesh constraint?
by_extrusion
=
False
# rounded trailing edge?
rounded
=
True
# base mesh sizes
fact
=
1
;
lc1
=
0.01
*
fact
lc2
=
0.3
*
fact
# generate curved mesh?
order2
=
True
# xy coordinates of top part of NACA 0012 profile
naca
=
[
0.9987518
,
0.0014399
,
0.9976658
,
0.0015870
,
0.9947532
,
0.0019938
,
0.9906850
,
0.0025595
,
0.9854709
,
0.0032804
,
0.9791229
,
0.0041519
,
0.9716559
,
0.0051685
,
0.9630873
,
0.0063238
,
0.9534372
,
0.0076108
,
0.9427280
,
0.0090217
,
0.9309849
,
0.0105485
,
0.9182351
,
0.0121823
,
0.9045085
,
0.0139143
,
0.8898372
,
0.0157351
,
0.8742554
,
0.0176353
,
0.8577995
,
0.0196051
,
0.8405079
,
0.0216347
,
0.8224211
,
0.0237142
,
0.8035813
,
0.0258337
,
0.7840324
,
0.0279828
,
0.7638202
,
0.0301515
,
0.7429917
,
0.0323294
,
0.7215958
,
0.0345058
,
0.6996823
,
0.0366700
,
0.6773025
,
0.0388109
,
0.6545085
,
0.0409174
,
0.6313537
,
0.0429778
,
0.6078921
,
0.0449802
,
0.5841786
,
0.0469124
,
0.5602683
,
0.0487619
,
0.5362174
,
0.0505161
,
0.5120819
,
0.0521620
,
0.4879181
,
0.0536866
,
0.4637826
,
0.0550769
,
0.4397317
,
0.0563200
,
0.4158215
,
0.0574033
,
0.3921079
,
0.0583145
,
0.3686463
,
0.0590419
,
0.3454915
,
0.0595747
,
0.3226976
,
0.0599028
,
0.3003177
,
0.0600172
,
0.2784042
,
0.0599102
,
0.2570083
,
0.0595755
,
0.2361799
,
0.0590081
,
0.2159676
,
0.0582048
,
0.1964187
,
0.0571640
,
0.1775789
,
0.0558856
,
0.1594921
,
0.0543715
,
0.1422005
,
0.0526251
,
0.1257446
,
0.0506513
,
0.1101628
,
0.0484567
,
0.0954915
,
0.0460489
,
0.0817649
,
0.0434371
,
0.0690152
,
0.0406310
,
0.0572720
,
0.0376414
,
0.0465628
,
0.0344792
,
0.0369127
,
0.0311559
,
0.0283441
,
0.0276827
,
0.0208771
,
0.0240706
,
0.0145291
,
0.0203300
,
0.0093149
,
0.0164706
,
0.0052468
,
0.0125011
,
0.0023342
,
0.0084289
,
0.0005839
,
0.0042603
,
0.0000000
,
0.0000000
]
# create profile from points
pts
=
[]
l
=
len
(
naca
)
for
i
in
range
(
0
,
l
//
2
):
pts
.
append
(
gmsh
.
model
.
occ
.
addPoint
(
naca
[
2
*
i
],
naca
[
2
*
i
+
1
],
0
,
lc1
))
for
i
in
range
(
l
//
2
-
2
,
-
1
,
-
1
):
pts
.
append
(
gmsh
.
model
.
occ
.
addPoint
(
naca
[
2
*
i
],
-
naca
[
2
*
i
+
1
],
0
,
lc1
))
pts
.
reverse
()
curv
=
[]
curv
.
append
(
gmsh
.
model
.
occ
.
addSpline
(
pts
))
if
rounded
:
# circle as trailing edge
c
=
gmsh
.
model
.
occ
.
addPoint
(
0.9985510
,
0.0000000
,
0
,
lc1
)
curv
.
append
(
gmsh
.
model
.
occ
.
addCircleArc
(
pts
[
-
1
],
c
,
pts
[
0
]))
else
:
pt
=
gmsh
.
model
.
occ
.
addPoint
(
1.0095
,
0.0000000
,
0
,
lc1
)
curv
.
append
(
gmsh
.
model
.
occ
.
addLine
(
pts
[
-
1
],
pt
))
curv
.
append
(
gmsh
.
model
.
occ
.
addLine
(
pt
,
pts
[
0
]))
cl
=
gmsh
.
model
.
occ
.
addCurveLoop
(
curv
)
if
by_extrusion
:
gmsh
.
model
.
occ
.
synchronize
()
# a boundary layer can be created through extrusion using the built-in CAD
# kernel: this creates topological entities that will be filled with a
# discrete geometry (a mesh) during mesh generation
n
=
np
.
linspace
(
1
,
1
,
7
)
d
=
np
.
logspace
(
-
4
,
-
2
,
7
)
extbl
=
gmsh
.
model
.
geo
.
extrudeBoundaryLayer
(
gmsh
.
model
.
getEntities
(
1
),
n
,
-
d
,
True
)
# create curve loop with "top" curves of the boundary layer
cl2
=
gmsh
.
model
.
geo
.
addCurveLoop
([
c
[
1
]
for
c
in
extbl
[::
2
]])
# connect it with the exterior surface
p1
=
gmsh
.
model
.
geo
.
addPoint
(
-
1
,
-
1
,
0
,
lc2
)
p2
=
gmsh
.
model
.
geo
.
addPoint
(
2
,
-
1
,
0
,
lc2
)
p3
=
gmsh
.
model
.
geo
.
addPoint
(
2
,
1
,
0
,
lc2
)
p4
=
gmsh
.
model
.
geo
.
addPoint
(
-
1
,
1
,
0
,
lc2
)
l1
=
gmsh
.
model
.
geo
.
addLine
(
p1
,
p2
)
l2
=
gmsh
.
model
.
geo
.
addLine
(
p2
,
p3
)
l3
=
gmsh
.
model
.
geo
.
addLine
(
p3
,
p4
)
l4
=
gmsh
.
model
.
geo
.
addLine
(
p4
,
p1
)
cl3
=
gmsh
.
model
.
geo
.
addCurveLoop
([
l1
,
l2
,
l3
,
l4
])
s2
=
gmsh
.
model
.
geo
.
addPlaneSurface
([
cl3
,
cl2
])
gmsh
.
model
.
geo
.
synchronize
()
else
:
# in 2D, boundary layers can also be specified as a meshing constraint,
# trough the BoundaryLayer field; this is quite a bit more general, as it
# handles intersections between several boundary layers, fans, etc.
s
=
gmsh
.
model
.
occ
.
addPlaneSurface
([
cl
])
r
=
gmsh
.
model
.
occ
.
addRectangle
(
-
1
,
-
1
,
0
,
3
,
2
)
gmsh
.
model
.
occ
.
cut
([(
2
,
r
)],
[(
2
,
s
)])
gmsh
.
model
.
occ
.
synchronize
()
f
=
gmsh
.
model
.
mesh
.
field
.
add
(
'
BoundaryLayer
'
)
gmsh
.
model
.
mesh
.
field
.
setNumbers
(
f
,
'
CurvesList
'
,
curv
)
gmsh
.
model
.
mesh
.
field
.
setNumber
(
f
,
'
Size
'
,
lc1
/
100
)
gmsh
.
model
.
mesh
.
field
.
setNumber
(
f
,
'
Ratio
'
,
2.4
)
gmsh
.
model
.
mesh
.
field
.
setNumber
(
f
,
'
Quads
'
,
1
)
gmsh
.
model
.
mesh
.
field
.
setNumber
(
f
,
'
Thickness
'
,
0.02
)
if
not
rounded
:
# create a fan at the trailing edge
gmsh
.
option
.
setNumber
(
'
Mesh.BoundaryLayerFanElements
'
,
7
)
gmsh
.
model
.
mesh
.
field
.
setNumbers
(
f
,
'
FanPointsList
'
,
[
pt
])
gmsh
.
model
.
mesh
.
field
.
setAsBoundaryLayer
(
f
)
# generate the mesh
gmsh
.
model
.
mesh
.
generate
(
2
)
# 2nd order + fast curving of the boundary layer + optimization
if
order2
:
gmsh
.
model
.
mesh
.
setOrder
(
2
)
gmsh
.
model
.
mesh
.
optimize
(
'
HighOrderFastCurving
'
)
gmsh
.
model
.
mesh
.
optimize
(
'
HighOrder
'
)
gmsh
.
write
(
'
naca_boundary_layer_2d.msh
'
)
if
'
-nopopup
'
not
in
sys
.
argv
:
gmsh
.
fltk
.
run
()
gmsh
.
finalize
()
This diff is collapsed.
Click to expand it.
examples/api/naca_boundary_layer_3d.py
0 → 100644
+
162
−
0
View file @
016ea870
import
gmsh
import
sys
import
math
import
numpy
as
np
gmsh
.
initialize
(
sys
.
argv
)
gmsh
.
model
.
add
(
"
NACA 0012 with a round tip
"
)
# extrusion length of the profle in the z-direction
z
=
0.5
# base mesh sizes
fact
=
1
;
lc1
=
0.01
*
fact
lc2
=
0.3
*
fact
gmsh
.
option
.
setNumber
(
'
Mesh.Algorithm3D
'
,
10
)
# generate curved mesh?
order2
=
False
# xy coordinates of top part of NACA 0012 profile
naca
=
[
0.9987518
,
0.0014399
,
0.9976658
,
0.0015870
,
0.9947532
,
0.0019938
,
0.9906850
,
0.0025595
,
0.9854709
,
0.0032804
,
0.9791229
,
0.0041519
,
0.9716559
,
0.0051685
,
0.9630873
,
0.0063238
,
0.9534372
,
0.0076108
,
0.9427280
,
0.0090217
,
0.9309849
,
0.0105485
,
0.9182351
,
0.0121823
,
0.9045085
,
0.0139143
,
0.8898372
,
0.0157351
,
0.8742554
,
0.0176353
,
0.8577995
,
0.0196051
,
0.8405079
,
0.0216347
,
0.8224211
,
0.0237142
,
0.8035813
,
0.0258337
,
0.7840324
,
0.0279828
,
0.7638202
,
0.0301515
,
0.7429917
,
0.0323294
,
0.7215958
,
0.0345058
,
0.6996823
,
0.0366700
,
0.6773025
,
0.0388109
,
0.6545085
,
0.0409174
,
0.6313537
,
0.0429778
,
0.6078921
,
0.0449802
,
0.5841786
,
0.0469124
,
0.5602683
,
0.0487619
,
0.5362174
,
0.0505161
,
0.5120819
,
0.0521620
,
0.4879181
,
0.0536866
,
0.4637826
,
0.0550769
,
0.4397317
,
0.0563200
,
0.4158215
,
0.0574033
,
0.3921079
,
0.0583145
,
0.3686463
,
0.0590419
,
0.3454915
,
0.0595747
,
0.3226976
,
0.0599028
,
0.3003177
,
0.0600172
,
0.2784042
,
0.0599102
,
0.2570083
,
0.0595755
,
0.2361799
,
0.0590081
,
0.2159676
,
0.0582048
,
0.1964187
,
0.0571640
,
0.1775789
,
0.0558856
,
0.1594921
,
0.0543715
,
0.1422005
,
0.0526251
,
0.1257446
,
0.0506513
,
0.1101628
,
0.0484567
,
0.0954915
,
0.0460489
,
0.0817649
,
0.0434371
,
0.0690152
,
0.0406310
,
0.0572720
,
0.0376414
,
0.0465628
,
0.0344792
,
0.0369127
,
0.0311559
,
0.0283441
,
0.0276827
,
0.0208771
,
0.0240706
,
0.0145291
,
0.0203300
,
0.0093149
,
0.0164706
,
0.0052468
,
0.0125011
,
0.0023342
,
0.0084289
,
0.0005839
,
0.0042603
,
0.0000000
,
0.0000000
]
# create profile in z=0 plane from points
pts
=
[]
l
=
len
(
naca
)
for
i
in
range
(
0
,
l
//
2
):
pts
.
append
(
gmsh
.
model
.
occ
.
addPoint
(
naca
[
2
*
i
],
naca
[
2
*
i
+
1
],
0
))
for
i
in
range
(
l
//
2
-
2
,
-
1
,
-
1
):
pts
.
append
(
gmsh
.
model
.
occ
.
addPoint
(
naca
[
2
*
i
],
-
naca
[
2
*
i
+
1
],
0
))
pts
.
reverse
()
spl
=
gmsh
.
model
.
occ
.
addSpline
(
pts
)
# circle as trailing edge
c
=
gmsh
.
model
.
occ
.
addPoint
(
0.9985510
,
0.0000000
,
0
)
cir
=
gmsh
.
model
.
occ
.
addCircleArc
(
pts
[
-
1
],
c
,
pts
[
0
])
# extrude the profile along z
ext
=
gmsh
.
model
.
occ
.
extrude
([(
1
,
spl
),
(
1
,
cir
)],
0
,
0
,
z
)
# cut the extruded profile at the leading and trailing edge to prepare for the
# rounded wing tip
bb
=
gmsh
.
model
.
occ
.
getBoundingBox
(
1
,
cir
)
p1
=
gmsh
.
model
.
occ
.
addPoint
(
0
,
0
,
0
)
p2
=
gmsh
.
model
.
occ
.
addPoint
(
0
,
0
,
z
)
c1
=
gmsh
.
model
.
occ
.
addLine
(
p1
,
p2
)
p3
=
gmsh
.
model
.
occ
.
addPoint
(
bb
[
3
],
0
,
0
)
p4
=
gmsh
.
model
.
occ
.
addPoint
(
bb
[
3
],
0
,
z
)
c2
=
gmsh
.
model
.
occ
.
addLine
(
p3
,
p4
)
gmsh
.
model
.
occ
.
fragment
([(
1
,
c1
),
(
1
,
c2
)],
gmsh
.
model
.
occ
.
getEntities
(
2
))
# retrieve tip curves that will be revolved
eps
=
1e-6
gmsh
.
option
.
setNumber
(
'
Geometry.OCCBoundsUseStl
'
,
1
)
tc
=
gmsh
.
model
.
occ
.
getEntitiesInBoundingBox
(
-
eps
,
-
eps
,
z
-
eps
,
bb
[
3
]
+
eps
,
1
,
z
+
eps
,
dim
=
1
)
rev
=
gmsh
.
model
.
occ
.
revolve
(
tc
,
0
,
0
,
z
,
1
,
0
,
0
,
math
.
pi
/
2
)
gmsh
.
model
.
occ
.
revolve
(
rev
[
0
::
4
],
0
,
0
,
z
,
1
,
0
,
0
,
math
.
pi
/
2
)
# glue surfaces, set mesh size and sync to model
gmsh
.
model
.
occ
.
fragment
(
gmsh
.
model
.
occ
.
getEntities
(
2
),
[])
gmsh
.
model
.
occ
.
mesh
.
setSize
(
gmsh
.
model
.
occ
.
getEntities
(
0
),
lc1
)
gmsh
.
model
.
occ
.
synchronize
()
# create a boundary layer for all the surfaces through extrusion using the
# built-in CAD kernel: this creates topological entities that will be filled
# with a discrete geometry (a mesh) during mesh generation; more general
# boundary layer meshing constraints are currently only available in 2D, through
# the BoundaryLayer Field - see 'naca_boundary_layer_2d.py'.
n
=
np
.
linspace
(
1
,
1
,
7
)
d
=
np
.
logspace
(
-
4
,
-
2
,
7
)
extbl
=
gmsh
.
model
.
geo
.
extrudeBoundaryLayer
(
gmsh
.
model
.
getEntities
(
2
),
n
,
d
,
True
)
# get "top" surfaces of the boundary layer
top
=
[]
for
i
in
range
(
1
,
len
(
extbl
)):
if
extbl
[
i
][
0
]
==
3
:
top
.
append
(
extbl
[
i
-
1
])
# extract the boundary of the top surfaces, which define a hole in the symmetry
# plane, and create the symmetry plane
gmsh
.
model
.
geo
.
synchronize
()
bnd
=
gmsh
.
model
.
getBoundary
(
top
)
cl2
=
gmsh
.
model
.
geo
.
addCurveLoop
([
c
[
1
]
for
c
in
bnd
])
p1
=
gmsh
.
model
.
geo
.
addPoint
(
-
1
,
-
1
,
0
,
lc2
)
p2
=
gmsh
.
model
.
geo
.
addPoint
(
2
,
-
1
,
0
,
lc2
)
p3
=
gmsh
.
model
.
geo
.
addPoint
(
2
,
1
,
0
,
lc2
)
p4
=
gmsh
.
model
.
geo
.
addPoint
(
-
1
,
1
,
0
,
lc2
)
l1
=
gmsh
.
model
.
geo
.
addLine
(
p1
,
p2
)
l2
=
gmsh
.
model
.
geo
.
addLine
(
p2
,
p3
)
l3
=
gmsh
.
model
.
geo
.
addLine
(
p3
,
p4
)
l4
=
gmsh
.
model
.
geo
.
addLine
(
p4
,
p1
)
cl3
=
gmsh
.
model
.
geo
.
addCurveLoop
([
l1
,
l2
,
l3
,
l4
])
s2
=
gmsh
.
model
.
geo
.
addPlaneSurface
([
cl3
,
cl2
])
# create 3D air box
p11
=
gmsh
.
model
.
geo
.
addPoint
(
-
1
,
-
1
,
2
*
z
,
lc2
)
p12
=
gmsh
.
model
.
geo
.
addPoint
(
2
,
-
1
,
2
*
z
,
lc2
)
p13
=
gmsh
.
model
.
geo
.
addPoint
(
2
,
1
,
2
*
z
,
lc2
)
p14
=
gmsh
.
model
.
geo
.
addPoint
(
-
1
,
1
,
2
*
z
,
lc2
)
l11
=
gmsh
.
model
.
geo
.
addLine
(
p11
,
p12
)
l12
=
gmsh
.
model
.
geo
.
addLine
(
p12
,
p13
)
l13
=
gmsh
.
model
.
geo
.
addLine
(
p13
,
p14
)
l14
=
gmsh
.
model
.
geo
.
addLine
(
p14
,
p11
)
l_1_11
=
gmsh
.
model
.
geo
.
addLine
(
p1
,
p11
)
l_2_12
=
gmsh
.
model
.
geo
.
addLine
(
p2
,
p12
)
l_3_13
=
gmsh
.
model
.
geo
.
addLine
(
p3
,
p13
)
l_4_14
=
gmsh
.
model
.
geo
.
addLine
(
p4
,
p14
)
cl3
=
gmsh
.
model
.
geo
.
addCurveLoop
([
l11
,
l12
,
l13
,
l14
])
s3
=
gmsh
.
model
.
geo
.
addPlaneSurface
([
cl3
])
cl4
=
gmsh
.
model
.
geo
.
addCurveLoop
([
l1
,
l_2_12
,
-
l11
,
-
l_1_11
])
s4
=
gmsh
.
model
.
geo
.
addPlaneSurface
([
cl4
])
cl5
=
gmsh
.
model
.
geo
.
addCurveLoop
([
l2
,
l_3_13
,
-
l12
,
-
l_2_12
])
s5
=
gmsh
.
model
.
geo
.
addPlaneSurface
([
cl5
])
cl6
=
gmsh
.
model
.
geo
.
addCurveLoop
([
l3
,
l_4_14
,
-
l13
,
-
l_3_13
])
s6
=
gmsh
.
model
.
geo
.
addPlaneSurface
([
cl6
])
cl7
=
gmsh
.
model
.
geo
.
addCurveLoop
([
l4
,
l_1_11
,
-
l14
,
-
l_4_14
])
s7
=
gmsh
.
model
.
geo
.
addPlaneSurface
([
cl7
])
b
=
[
s
[
1
]
for
s
in
top
]
b
.
extend
([
s2
,
s3
,
s4
,
s5
,
s6
,
s7
])
sl
=
gmsh
.
model
.
geo
.
addSurfaceLoop
(
b
)
v
=
gmsh
.
model
.
geo
.
addVolume
([
sl
])
gmsh
.
model
.
geo
.
synchronize
()
# generate the mesh
gmsh
.
model
.
mesh
.
generate
(
3
)
# 2nd order + fast curving of the boundary layer + optimization
if
order2
:
gmsh
.
model
.
mesh
.
setOrder
(
2
)
gmsh
.
model
.
mesh
.
optimize
(
'
HighOrderFastCurving
'
)
gmsh
.
model
.
mesh
.
optimize
(
'
HighOrder
'
)
gmsh
.
write
(
'
naca_boundary_layer_3d.msh
'
)
if
'
-nopopup
'
not
in
sys
.
argv
:
gmsh
.
fltk
.
run
()
gmsh
.
finalize
()
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