Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP302 Plaque with imposed temperature

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.302-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
V4.05.302 document

TPLP302 - Rectangular Plaque with temperature
imposed

Summary:


This test results from the validation independent of version 3 in linear stationary thermics.

It is about a problem plane 2D represented by a modeling hull.

The functionalities tested are as follows:
· thermal element hull,
· limiting conditions: imposed temperature.

The results are compared with an analytical solution.
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP302 Plaque with imposed temperature

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.302-A Page:
2/6

1
Problem of reference

1.1 Geometry
Y
L
D
C
L = 0.2 m
L = 2 m
has
= 0.05m has
has
Points
X
Y
E
0.05 0.05
K
L
F
0.05 0.10
G
J
G
0.05 0.15
H
0.10 0.05
F
I
I
0.10 0.10
J
0.10 0.15
E
H
K
0.10 0.20
X
With
B


1.2
Properties of material


=
1 W/m °C
Thermal conductivity

1.3
Boundary conditions and loadings

· Imposed temperature:
-
dimensioned [BC] and [AD] T = 0°C,
-
dimensioned [AB] T = 100°C.

· Imposed flow:
-
dimensioned [CD] = 0

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:
Rectangular TPLP302 Plaque with imposed temperature

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.302-A Page:
3/6

2
Reference solution

2.1
Method of calculation used for the reference solution

4T

[- (2n+1) y/L]
p
E
(2n +)
1 X
T (X, y) =

.sin


2n + 1


L


N =0

where X
: X-coordinate
y
:
ordinate

Tp: temperature imposed on the with dimensions one [AB]

N = 0,1,2,3,…

The values of reference are obtained with N = 1000

2.2
Results of reference

Temperature at the points E, F, G, H, I, J, K

2.3
Uncertainty on the solution

Analytical solution.

2.4 References
bibliographical

[1]
J.R. Welty, C.E. Wicks, R.E. Wilson, “Fundamentals off momentum heat and farmhouse transfer”,
third edition, John Wiley & Sons, 1983.
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP302 Plaque with imposed temperature

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.302-A Page:
4/6

3 Modeling
With

3.1
Characteristics of modeling

COQUE (TRIA6)

y
Limiting conditions:
D
M
- dimensioned Al
= 100°C
- dimensioned AD
= 0°C
.1
- dimensioned LM
= 0
- dimensioned DM
= 0
2.
Points
X
Y
Nodes
E
0.05 0.05
N21
F
0.05 0.10
N39
G
0.05 0.15
N57
H
0.10 0.05
N23
I
0.10 0.10
N41
J
0.10 0.15
N59
X
K
0.10 0.20
N77
With
L
Cutting:
- 4 elements
according to X
- 40 elements
according to y


3.2
Characteristics of the grid

A number of nodes:
729
A number of meshs and types: 320 TRIA6

3.3 Functionalities
tested

Commands




AFFE_MODELE
THERMIQUE
COQUE
TOUT
AFFE_CHAR_THER_F
TEMP_IMPO
TEMP_SUP
TEMP_INF

TEMP

THER_LINEAIRE
CARA_ELEM

EXCIT
CHARGE

RECU_CHAMP
NUME_ORDRE


3.4 Remarks

Limiting conditions, T = 100°C on AB, and T = 0°C on AD, are incompatible at point A. It
Code_Aster applies a “law of overload” which, in this case, consists in taking into account
last condition limits entered. The command of assignment of the imposed temperatures thus has large
influence on the results obtained.

In the treated case, the temperature assigned to point A is of 0°C.
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP302 Plaque with imposed temperature

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.302-A Page:
5/6

4
Results of modeling A

4.1 Values
tested

Identification Reference
Aster difference
tolerance
Temperature (°C)









N21 (surface_supérieure) 43.496
43.499
0.007
1%
N21 (surface_moyenne) 43.496
43.499
0.007
1%
N21 (surface_inférieure) 43.496
43.499
0.007
1%
N39 (surface_supérieure) 18.978
18.957
- 0.112
1%
N39 (surface_moyenne) 18.978
18.957
- 0.112
1%
N39 (surface_inférieure) 18.978
18.957
- 0.112
1%
N57 (surface_supérieure) 8.559
8.554
- 0.057
1%
N57 (surface_moyenne) 8.559
8.554
- 0.057
1%
N57 (surface_inférieure) 8.559
8.554
- 0.057
1%
N23 (surface_supérieure) 54.467
54.514
0.087
1%
N23 (surface_moyenne) 54.467
54.514
0.087
1%
N23 (surface_inférieure) 54.467
54.514
0.087
1%
N41 (surface_supérieure) 26.096
26.096
- 0.001
1%
N41 (surface_moyenne) 26.096
26.096
- 0.001
1%
N41 (surface_inférieure) 26.096
26.096
- 0.001
1%
N59 (surface_supérieure) 12.032
12.025
- 0.061
1%
N59 (surface_moyenne) 12.032
12.025
- 0.061
1%
N59 (surface_inférieure) 12.032
12.025
- 0.061
1%
N77 (surface_supérieure) 5.499
5.496
- 0.063
1%
N77 (surface_moyenne) 5.499
5.496
- 0.063
1%
N77 (surface_inférieure) 5.499
5.496
- 0.063
1%

4.2 Parameters
of execution

Version: 5.03


Machine: SGI - ORIGIN 2000 - R12000

Obstruction memory:
8 megawords
Time CPU To use: 3.19 seconds
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP302 Plaque with imposed temperature

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.302-A Page:
6/6

5
Summary of the results

Modeling COQUE with meshs TRIA6 gives very satisfactory results, the variation
maximum obtained is 0.11%. The interest of this test is of:

· to test meshs TRIA6 in COQUE,
· to compare the results compared to an analytical solution.

Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A

Outline document