Fc simesh matplotlib package, User's Guide
fc_simesh_matplotlib package, User's
Guide ?
Fran?ois Cuvelier:
May 2, 2017
Abstract
fc_simesh The
Python package allows to use simplices meshes gener-
gmsh 2 3 ated from
(in dimension or ) or an hypercube triangulation (in any
fc_simesh_matplotlib dimension). The
Python package presented in
fc_simesh this report is an add-on to the
Python package. A particular
care was taken to the graphics representations of meshes and datas on
meshes by using matplotlib package.
Contents
fc_simesh_matplotlib plotmesh 1 Functions of the 1.1 function
package
2
.......................... 2
1.1.1 2D example . . . . . . . . . . . . . . . . . . . . . . . . . . 3
1.1.2 3D example . . . . . . . . . . . . . . . . . . . . . . . . . . 3
plot 1.1.3 3D surface example . . . . . . . . . . . . . . . . . . . . . . 4
1.2 function
............................ 5
1.2.1 2D example . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.2.2 3D example . . . . . . . . . . . . . . . . . . . . . . . . . . 7
plotiso 1.2.3 3D surface example . . . . . . . . . . . . . . . . . . . . . . 8
1.3 function
........................... 9
1.3.1 2D example . . . . . . . . . . . . . . . . . . . . . . . . . . 10
fc_hypermesh fc_oogmsh ?Compiled fc_simfecs_h_tomoaltsplotlib fc_simesh matplotlib 0.0.3,
with Python -0.0.9, -2.0.0
3.6.0,
packages
-0.0.4and the
plotting
-0.0.4, libraries
-2.0.0,
: Universit? Paris 13, Sorbonne Paris Cit?, LAGA, CNRS UMR 7539, 99 Avenue J-B Cl?-
ment, F-93430 Villetaneuse, France, cuvelier@math.univ-paris13.fr.
This work was partially supported by ANR Dedales.
1
quiver 1.3.2 function
. . . . . . . . . . . . . . . . . . . . . . . 10
1.3.3 2D example . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.3.4 3D example . . . . . . . . . . . . . . . . . . . . . . . . . . 12
1.3.5 3D surface example . . . . . . . . . . . . . . . . . . . . . . 13
1 Functions of the fc_simesh_matplotlib package
plotmesh 1.1 function TsiMheepshlotombejescht. function displays the mesh or parts of the mesh dened by an
Syntaxe
siplt.plotmesh(Th ,) siplt.plotmesh(Th,Key=Value , ...)
Description
siplt .plotmesh(Th,) displays all the Th.d-dimensional simplices elements.
siplt .plotmesh(Th,Key=Value, ...) species function options using one or more , Key Value pair arguments. Options of rst level are
, d : to specify the dimension of the simplices elements (default : ) Th.d , labels : to select the labels of the elements to display, , color : to specify the color of the displayed mesh elements. (default
: use one color by displayed mesh elements), , legend : add a legend to graph if True (default : ) False
The options of second level depend on the type of elementaries mesh elements to represent. One can use any option of the following functions according to the type of d-simplex to be represented.
? In dimension 3, , if d "" 3, Line3DCollection function is used , if d "" 2, Poly3DCollection function is used , if d "" 1, Line3DCollection function is used , if d "" 0, ax. scatter function is used
? In dimension 2, , if d "" 2, plt . triplot function is used, , if d "" 1, ax.plot function is used , if d "" 0, ax.plot function is used
? dimension 1, not yet implemented
2
1.1.1 2D example
The following example use the .geo le condenser11.geo which is in the directory geodir of the toolbox ....
m e s h f i l e=gmsh . b u i l d m e s h 2 d ( ' c o n d e n s e r 1 1 ' , 2 5 ) Th=s i M e s h ( m e s h f i l e ) plt . figure (1) s i p l t . p l o t m e s h ( Th , l e g e n d=T r u e ) set_axes_equal () plt . figure (2)
# , ' L i n e s t y l e ' , ' : ' ) s i p l t . p l o t m e s h (Th , l a b e l s = [ 1 0 , 2 0 ] , l e g e n d=True )
s i p l t . p l o t m e s h ( Th , l a b e l s = [ 2 , 4 , 6 , 8 ] , c o l o r = ' b l a c k ' ) plt . axis ( ' o f f ' ) ; set_axes_equal () plt . figure (3) s i p l t . p l o t m e s h ( Th , c o l o r = ' L i g h t G r a y ' ) s i p l t . p l o t m e s h ( Th , d =1 , l e g e n d=True , l i n e w i d t h =2) plt . axis ( ' o f f ' ) ; set_axes_equal () plt . figure (4) s i p l t . p l o t m e s h ( Th , c o l o r = ' L i g h t G r a y ' ) s i p l t . p l o t m e s h ( Th , d =1 , l e g e n d=True , l a b e l s = [ 1 , 3 , 5 , 7 , 2 0 , 1 0 1 , 1 0 2 , 1 0 3 , 1 0 4 ] ) plt . axis ( ' o f f ' ) ; set_axes_equal ()
Listing 1: 2D plot mesh
1.1.2 3D example
The following example use the .geo le cylinderkey.geo which is in the directory geodir of the toolbox. This le contains description of a 3D mesh with simplices of dimensions 1, 2 and 3.
3
m e s h f i l e=gmsh . b u i l d m e s h 3 d ( ' c y l i n d e r k e y ' , 1 5 ) Th=s i M e s h ( m e s h f i l e ) plt . figure (1) s i p l t . p l o t m e s h ( Th , l e g e n d=T r u e ) s i p l t . p l o t m e s h ( Th , d =1 , c o l o r = ' b l a c k ' , l i n e w i d t h =3) set_axes_equal () plt . figure (2) s i p l t . p l o t m e s h ( Th , d =2 , l e g e n d=T r u e ) plt . axis ( ' o f f ' ) , set_axes_equal () plt . figure (3) s i p l t . p l o t m e s h ( Th , d =2 , l a b e l s = [ 1 , 1 0 0 0 , 1 0 2 0 , 1 0 2 1 ] , c o l o r = ' L i g h t G r a y ' , a l p h a = 0 . 0 5 ) s i p l t . p l o t m e s h ( Th , d =2 , l a b e l s = [ 1 0 , 1 1 , 3 1 , 2 0 0 0 , 2 0 2 0 , 2 0 2 1 ] , l e g e n d=True , a l p h a =1) plt . axis ( ' o f f ' ) ; set_axes_equal ()
Listing 2: 3D plot mesh
1.1.3 3D surface example
The following example use the .geo le demisphere5.geo which is in the directory geodir of the toolbox. This le contains description of a 3D surface mesh with simplices of dimensions 1 and 2.
4
m e s h f i l e=gmsh . b u i l d m e s h 3 d s ( ' d e m i s p h e r e 5 ' , 2 0 ) Th=s i M e s h ( m e s h f i l e ) Th=s i M e s h ( m e s h f i l e ) plt . figure (1) s i p l t . p l o t m e s h ( Th , l e g e n d=T r u e ) plt . figure (2) s i p l t . p l o t m e s h ( Th , c o l o r = ' L i g h t G r a y ' , a l p h a = 0 . 1 ) s i p l t . p l o t m e s h ( Th , d =1 , l e g e n d=True , l i n e w i d t h =2) plt . figure (3) s i p l t . p l o t m e s h ( Th , l a b e l s = [ 1 , 1 0 , 1 3 , 1 2 ] , f a c e c o l o r =None ) s i p l t . p l o t m e s h ( Th , l a b e l s = [ 1 1 ] , e d g e c o l o r= ' b l a c k ' ) plt . figure (4) s i p l t . p l o t m e s h ( Th , l e g e n d=True , l a b e l s = [ 1 0 , 1 3 , 1 2 ] , e d g e c o l o r= ' b l a c k ' ) s i p l t . p l o t m e s h ( Th , l a b e l s = [ 1 , 1 1 ] , c o l o r = ' L i g h t G r a y ' , a l p h a = 0 . 1 )
Listing 3: 3D surface mesh : plot function
plot 1.2 function
plot The
function displays scalar datas on the mesh or parts of the mesh
siMesh dened by an
object.
Syntaxe
siplt.plot(Th ,u) siplt.plot(Th ,u,Key=Value , ...)
Description
siplt . plot(Th,u) displays data u on all the Th.d-dimensional simplices elements. The data u is an 1D-array of size Th.nq or Th.nqGlobal or . Th.nqParent
siplt . plot(Th,u,Key=Value, ...) species function options using one or more , Key Value pair arguments. Options of rst level are
5
, d : to specify the dimension of the simplices elements (default : ) Th.d , labels : to select the labels of the elements to display data, , plane : if , True (default : ) False The second level options depend on the type of elementaries mesh elements on which we want to represent datas. One can use any option of the following functions according to the type of d-simplex. ? In dimension 3,
, if d "" 3, scatter3D function is used , if d "" 2, Poly3DCollection function is used. , if d "" 1, Line3DCollection function is used. ? In dimension 2, , if d "" 2, tripcolor function is used. , if d "" 1, LineCollection function is used. ? Dimension 1 : not implemented.
1.2.1 2D example
The following example use the .geo le condenser11.geo which is in the directory geodir of the package.
6
import numpy as np
m e s h f i l e=gmsh . b u i l d m e s h 2 d ( ' c o n d e n s e r 1 1 ' , 2 5 )
lambda Th=s i M e s h ( m e s h f i l e )
u=Th . f e v a l (
? x , y : 5 np . e x p ( 3 ( x 2+y 2 ) ) np . c o s ( x ) np . s i n ( y ) )
p l t . rcParams [ ' t e x t . u s e t e x ' ]= True
p l t . rcParams [ ' t e x t . l a t e x . u n i c o d e ' ]= True
plt . ion ()
f i g=p l t . f i g u r e ( 1 )
s i p l t . p l o t ( Th , u )
plt . colorbar ()
plt . figure (2)
s i p l t . p l o t ( Th , u , l a b e l s = [ 2 0 , 2 , 4 , 6 , 8 ] )
s i p l t . p l o t m e s h ( Th , l a b e l s = 1 0 , c o l o r = ' L i g h t G r a y ' )
plt . figure (3)
h= s i p l t . p l o t ( Th , u , p l a n e=F a l s e , c o l o r m a p= ' v i r i d i s ' )
plt . colorbar (h)
plt . figure (4)
s i p l t . p l o t ( Th , u , l a b e l s = [ 1 0 , 2 0 ] , p l a n e=F a l s e , c o l o r m a p= ' v i r i d i s ' )
s i p l t . p l o t ( Th , u , l a b e l s = [ 2 , 4 , 6 , 8 ] , p l a n e=F a l s e )
p l t . show ( )
Listing 4: 2D mesh : plot function
1.2.2 3D example
The following example use the .geo le cylinderkey.geo which is in the directory geodir of the toolbox. This le contains description of a 3D mesh with simplices of dimensions 1, 2 and 3.
7
m e s h f i l e=gmsh . b u i l d m e s h 3 d ( ' c y l i n d e r k e y ' , 1 5 )
Th=s i M e s h ( m e s h f i l e ) plt . close ( ' all ' )
plt . ion ()
p l t . rcParams [ ' t e x t . u s e t e x ' ]= True
p l t . rcParams [ ' t e x t . l a t e x . u n i c o d e ' ]= True
lambda p l t . c l o s e ( ' a l l ' )
u=Th . f e v a l (
x , y , z : 3 x2?y3+ z 2+xy )
#ax = f i g=p l tf i.gf i.ggucar e( ( 1p)r o j e c t i o n ='3d ')
h= s i p l t . p l o t ( Th , u , s =2)
plt . colorbar (h)
plt . figure (2)
h2= s i p l t . p l o t ( Th , u , d =2 , l a b e l s = [ 1 0 0 0 , 1 0 2 0 , 1 0 2 1 , 2 0 0 0 , 2 0 2 0 , 2 0 2 1 ] ) s i p l t . p l o t ( Th , u , d =2 , l a b e l s = [ 1 0 , 1 1 , 3 1 ] , e d g e c o l o r= ' b l a c k ' , l i n e w i d t h = 0 . 5 )
p l t . c o l o r b a r ( h2 )
plt . figure (3)
h2= s i p l t . p l o t ( Th , u , d =2 , l a b e l s = [ 2 0 0 0 , 2 0 2 0 , 2 0 2 1 ] )
h1= s i p l t . p l o t ( Th , u , d =1 , l a b e l s = [ 1 0 7 5 , 1 0 7 7 , 1 0 7 8 , 1 0 8 1 ] , l i n e w i d t h =3)
s i p l t . p l o t m e s h ( Th , d =2 , l a b e l s = [ 1 0 , 1 1 , 3 1 ] , c o l o r = ' L i g h t G r a y ' , a l p h a = 0 . 2 ) pl t . gca () . set_axis_off ()
p l t . c o l o r b a r ( h1 )
plt . figure (4)
s i p l t . p l o t ( Th , u , d =2 , l a b e l s = [ 1 ] , a l p h a = 0 . 1 )
s i p l t . p l o t ( Th , u , d =2 , l a b e l s = [ 2 0 0 0 , 2 0 2 0 , 2 0 2 1 ] ) s i p l t . p l o t ( Th , u , d =1 , l a b e l s = [ 1 0 7 5 , 1 0 7 7 , 1 0 7 8 , 1 0 8 1 ] , l i n e w i d t h =3)
s i p l t . p l o t m e s h ( Th , d =2 , l a b e l s = [ 1 0 , 1 1 , 3 1 ] , c o l o r = ' L i g h t G r a y ' , a l p h a = 0 . 2 )
s i p l t . p l o t m e s h ( Th , d =1 , l a b e l s = [ 1 0 8 0 , 1 0 7 9 ] , c o l o r = ' b l a c k ' , l i n e w i d t h =2)
pl t . gca () . set_axis_off ()
Listing 5: 3D mesh : plot function
1.2.3 3D surface example
The following example use the .geo le demisphere5.geo which is in the directory geodir of the toolbox. This le contains description of a 3D surface mesh with simplices of dimensions 1 and 2.
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