Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
1/8
Organization (S): EDF/IMA/MN
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
Document: V4.03.100
TPLS100 - Infinite Plaque subjected to flows
antisymmetric
Summary:
The purpose of this test is to test the model of thermal hull linear with three fields (MODELISATION:
“COQUE” or “COQUE_PLAN”) by comparison with an analytical solution, for an infinite plate subjected to one
couple stationary antisymmetric heat flows on its two half-faces, in stationary regime.
The equation of heat is solved in hover, with a linear, isotropic, homogeneous conduction.
Two modelings: With for the finite elements of surface hull (triangles) and B for the linear elements
(segments).
One simultaneously tests in each modeling the elementary commands and the total command
THER_LINEAIRE [U4.33.01].
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
2/8
1
Problem of reference
1.1 Geometry
Z
y
F
E
D
O
X
B
With
B
C
L
Length: L = 20mm
Width: B = 2mm
Thickness: H = 4mm
1.2
Material properties
Conductivity = 4.5 W/mm/°C
Voluminal heat: (CP = 0.) J/(°C. mm3)
1.3
Boundary conditions and loadings
Null temperature on the average layer of the plate:
TEMP = 0.
Flow imposed on the upper surface (ABEF) +
flux+ = 30. W/mm2/°C
Flow imposed on the upper surface (ABEF) -
flow = ­ 30. W/mm2/°C
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
3/8
2
Reference solution
2.1
Method of calculation used for the reference solution
Analytical
For more details to refer to the document [R3.11.01] and the note [bib1].
2.2
Results of reference
· Temperature in higher skin,
· Flow in nodes placed on axis OX in higher skin.
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
S. ANDRIEUX, F. VOLDOIRE HI-71/7131 - Formulation of a model of thermics for
thin hulls (7/12/90).
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
4/8
3 Modeling
With
3.1
Characteristics of modeling
y
X
N176
N161
N1
N32
N46
X
Cutting:
28 elements in length,
8 elements in width.
Boundary conditions - loading:
TEMP_IMPO (ALL:“yes”, TEMP:0.)
FLUX_REP (Group_Ma: GRSD2,
FLUN_INF:- 30.
FLUN_SUP:30.)
3.2
Characteristics of the grid
A number of nodes: 969
A number of meshs and types: 448 meshs TRIA6
3.3 Functionalities
tested
Commands
Keys
AFFE_CARA_ELEM
COQUE
TOUT
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“THERMIQUE”
“COQUE”
TOUT
[U4.22.01]
AFFE_CHAR_THER_F
TEMP_IMPO
FLUX_REP
[U4.25.02]
CALC_MATR_ELEM
RIGI_THER
[U4.41.01]
CALC_MATR_VECT
CHAR_THER
[U4.42.01]
NUME_DDL
[U4.42.02]
ASSE_MATRICE
[U4.41.02]
ASSE_VECTEUR
[U4.42.03]
FACT_LDLT
[U4.51.01]
RESO_LDLT
[U4.52.02]
AFFE_CHAR_THER
TEMP_IMPO
TOUT
[U4.25.02]
FLUX_REP
GROUP_MA
THER_LINEAIRE
CARA_ELEM
[U4.33.01]
CALC_ELEM
RESULTAT
[U4.61.02]
NIVE_COUCHE
CARA_ELEM
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
5/8
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
TEMP_SUP:
node N201 (­ 10., 0)
13.3321
13.3310
­ 0.008
node N176 (­ 5.15, 0)
13.2565
13.2564
­ 0.001
node N161 (­ 2.8, 0)
12.7462
12.7458
­ 0.003
node N1 (0., 0.)
6.6666
6.6666
­ 0.001
node N32 (28, 0.25)
0.5870
0.5872
0.027
node N46 (5.15, 0)
0.07679
0.07693
0.177
Flow component X:
N176 node
net M297
0.2992
0.2907
­ 2.84
net M289
0.2992
0.2780
­ 7.09
net M290
0.2992
0.2799
­ 6.44
average value
0.2992
0.283
­ 5.46
N161 node
net M265
2.287
2.186
­ 4.43
net M266
2.287
2.197
­ 3.92
net M273
2.287
2.242
­ 1.96
average value
2.287
2.208
­ 3.44
N1 node
net M1
25.98
25.94
­ 0.15
net M225
25.98
25.94
­ 0.14
net M337
25.98
25.94
­ 0.14
average value
25.98
25.94
­ 0.14
Contents of the file results
· Temperatures with the nodes,
· heat flow to the nodes in higher wall,
· values tested deferred above.
4.2 Parameters
of execution
Version: 3.06
Machine: CRAY C90
System UNICOS:
8.4
Obstruction memory:
8 megawords
Time CPU To use:
37.68 seconds
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
6/8
5 Modeling
B
5.1
Characteristics of modeling
y
N201
N1
N71
X
­ 10
+10
0
Cutting: 28 linear elements in length, (even progression of meshs that in the grid
modeling A).
Boundary conditions - loading:
TEMP_IMPO (ALL:“yes”, TEMP:0.)
FLUX_REP (Group_Ma: GRSD2,
FLUX_INF:- 30.
FLUX_SUP:30.)
5.2
Characteristics of the grid
A number of nodes: 57
A number of meshs and types: 28 meshs SEG3
5.3 Functionalities
tested
Commands
Keys
AFFE_CARA_ELEM
COQUE
TOUT
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“THERMIQUE”
“COQUE_PLAN”
TOUT
[U4.22.01]
AFFE_CHAR_THER
TEMP_IMPO
TOUT
[U4.25.02]
FLUX_REP
GROUP_MA
AFFE_CHAR_THER_F
TEMP_IMPO
TOUT
[U4.25.02]
FLUX_REP
GROUP_MA
CALC_MATR_ELEM
RIGI_THER
[U4.41.01]
CALC_MATR_VECT
CHAR_THER
[U4.42.01]
NUME_DDL
[U4.42.02]
ASSE_MATRICE
[U4.41.02]
ASSE_VECT
[U4.42.03]
FACT_LDLT
[U4.51.01]
RESO_LDLT
[U4.52.02]
THER_LINEAIRE
CARA_ELEM
[U4.33.01]
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
7/8
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster
% difference
TEMP_SUP:
node N201 (­ 10., 0)
13.3321
13.331
0.008
node N176 (­ 5.15, 0)
13.2565
13.2565
-
node N161 (­ 2.8, 0)
12.7462
12.7462
-
node N1 (0., 0.)
6.6666
6.6666
0.001
node N46 (5.15, 0)
0.07679
0.07683
0.05
Contents of the files results
· Temperatures with the nodes on the upper surface,
· values tested deferred above.
6.2 Parameters
of execution
Version: 3.06
Machine: CRAY C90
System UNICOS:
8.4
Obstruction memory:
8 megawords
Time CPU To use:
5.2 seconds
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A

Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
8/8
7
Summary of the results
In modeling A with meshs TRIA6, one notes that the variations on flows are lower than
1%, except in the zones where those are very weak.
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A