Code_Aster ®
Version
5.0
Titrate:
Orthotropic TPLP02 Carré
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.002-A Page:
1/6
Organization (S): EDF/AMA, EDF/UTO/LOCATED, Delta CAD
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
V4.05.002 document
TPLP02 - Orthotropic Carré
Summary:
This test results from the validation independent of version 3 in linear stationary thermics.
It is about a problem plane 2D represented by only one modeling (plane).
The functionalities tested are the use of plane thermal elements, of an orthotropic material, three
limiting types of conditions:
- convection
-
linear variation of the outside temperatures,
- flow
imposed.
The results are compared with an analytical solution (VPCS).
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
Orthotropic TPLP02 Carré
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.002-A Page:
2/6
1
Problem of reference
1.1 Geometry
has
Cubic of edge = 0.2 m has
Center cube = (0., 0.)
Y
X
O
1.2
Properties of material
X = 1.0 W/m.°C
thermal conductivity along axis X
y = 0.75 W/m.°C thermal conductivity along the axis y
1.3
Boundary conditions and loadings
· density flux:
y = 60 W/m ²
face y = - 0.1 (entering flow)
y = - 60 W/m ²
face y = 0.1 (outgoing flow)
· convection on the faces X = - 0.1 and X = 0.1: H = 15 W/m ² °C,
· linear variation of the outside temperatures:
- Text = 30 - 80y face X = - 0.1,
- Text = 15 - 80y face X = 0.1.
1.4 Conditions
initial
Without object.
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
Orthotropic TPLP02 Carré
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.002-A Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
The reference solution is that given in card TPLP02/89 of guide VPCS
Analytical solution.
T (X, y, Z) = ax + by + D = - 45x - 80y + 22.5
D
G
C
Not T (°C)
Figure 0.1
O
22.5
With
35.0
Y
Figure 0.2
B
26.0
C
10.0
X
H
F
D
19.0
O
E
30.5
F
18.0
G
14.5
H
27.0
With
E
B
X = 45 W/m ² = constant
y = 60 W/m ² = constant
2.2
Results of reference
Temperature at the points located on the figure above.
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
Guide validation of the software packages of structural analysis. French company of
Mechanics, AFNOR 1990 ISBN 2-12-486611-7
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
Orthotropic TPLP02 Carré
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.002-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
PLAN (QUAD4)
y
D
N66 G
C
Limiting conditions:
N11
N121
m100
m96 m95
m91
- dimensioned AB y = 60 W/m ²
- dimensioned CD y = - 60 W/m ²
- dimensioned BC H = 15 W/m ² °C
Text = 15-80y
- dimensioned AD H = 15 W/m ² °C
Text = 30-80y
m60
m56
m51 F
O
X
H
N6
N116
m50
N61 m45
m41
N1
m10
m6
m5
m1 N111
With
N56 E
B
3.2
Characteristics of the grid
A number of nodes:
121
A number of meshs and types: 100 QUAD4
3.3 Functionalities
tested
Commands
AFFE_MODELE
THERMIQUE
PLAN
TOUT
DEFI_MATERIAU
THER_ORTH
AFFE_CARA_ELEM
MASSIF
DEFI_FONCTION
NOM_PARA: “X”
NOM_PARA: “Y”
AFFE_CHAR_THER_F
ECHANGE
FLUX_REP
THER_LINEAIRE
EXCIT
CARA_ELEM
CALC_CHAM_ELEM
CARA_ELEM
FLUX_ELNO_TEMP
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
Orthotropic TPLP02 Carré
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.002-A Page:
5/6
4
Results of modeling A
4.1 Values
tested
Identification Reference
Aster difference
tolerance
Temperature °C
T (O) 22.5
22.5
0.0
1%
T (A) 35.0
35.0
0.0
1%
T (B) 26.0
26.0
0.0
1%
T (C) 10.0
10.0
0.0
1%
T (D) 19.0
19.0
0.0
1%
T (E) 30.5
30.5
0.0
1%
T (F) 18.0
18.0
0.0
1%
T (G) 14.5
14.5
0.0
1%
T (H) 27.0
27.0
0.0
1%
Flow
W/m ²
X (A)
45.0 45.0 0.0 1%
X (H)
45.0 45.0 0.0 1%
X (D)
45.0 45.0 0.0 1%
X (B)
45.0 45.0 0.0 1%
X (F)
45.0 45.0 0.0 1%
X (C)
45.0 45.0 0.0 1%
y (A)
60.0 60.0 0.0 1%
y (E)
60.0 60.0 0.0 1%
y (B)
60.0 60.0 0.0 1%
y (D)
60.0 60.0 0.0 1%
y (G)
60.0 60.0 0.0 1%
y (C)
60.0 60.0 0.0 1%
4.2 Parameters
of execution
Version: 5.03
Machine: SGI - ORIGIN 2000 - R12000
Obstruction memory:
8 megawords
Time CPU To use: 2.40 seconds
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
Orthotropic TPLP02 Carré
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.002-A Page:
6/6
5
Summary of the results
The results obtained are excellent. The computed values by Aster are identical to the values of
reference. That is “a normally awaited” result since the field solution which is linear
belongs to the space of interpolation of the element tested.
This test made it possible to test the following commands:
· DEFI_FONCTION associated with operand NOM_PARA, allowing to define a variation of
outside temperature according to the X-coordinate or of the ordinate,
· DEFI_MATERIAU associated with key word THER_ORTH, allowing to define the characteristics
of an orthotropic material,
· AFFE_CARA_ELEM associated with key word MASSIF, allowing to define the axes of orthotropism.
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
Outline document