Code_Aster
®
Version
5.0
Titrate:
TPLP300 Plates rectangular: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER
Key
:
V4.05.300-A
Page:
1/6
Manual of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
Organization (S):
EDF/AMA, EDF/UTO/LOCATED, Delta CAD
Manual of Validation
V4.05 booklet: Stationary thermics of the plane structures
V4.05.300 document
TPLP300 - Rectangular plate: convection,
imposed temperature
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 under conditions limit
temperature imposed and of convection.
The results are compared with those provided by NAFEMS.
Code_Aster
®
Version
5.0
Titrate:
TPLP300 Plates rectangular: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER
Key
:
V4.05.300-A
Page:
2/6
Manual of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
With
B
D
C
E
Y
X
0.2
1.0
0.6
dimensions in meters
1.2
Properties of material
= 52 W/m.°C
Thermal conductivity
1.3
Boundary conditions and loadings
·
imposed temperature with dimensions [AB]: T
p
= 100°C,
·
density flux = 0 on the with dimensions one [DA],
·
convection on the with dimensions ones [BC] and [CD],
-
H = 750 W/m ˛ °C,
- T
ext.
= 0°C.
1.4 Conditions
initial
Without object.
Code_Aster
®
Version
5.0
Titrate:
TPLP300 Plates rectangular: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER
Key
:
V4.05.300-A
Page:
3/6
Manual of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
2
Reference solution
2.1
Method of calculation used for the reference solution
The reference solution is that given in the card “TEST n° T4” of the tests of reference published
by NAFEMS.
2.2
Results of reference
Temperature at the point E: T = 18.3 °C
2.3
Uncertainty on the solution
Nonavailable on card NAFEMS
2.4 References
bibliographical
[1]
NAFEMS (the National Agency for Finite Element Methods Standard and (the U.K.)): “The
standard NAFEMS Benchmarcks ", TNSB rév 3, October 1990.
Code_Aster
®
Version
5.0
Titrate:
TPLP300 Plates rectangular: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER
Key
:
V4.05.300-A
Page:
4/6
Manual of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
PLAN (QUAD4)
n21 (E)
n1 (A)
n7 (B)
n71 (D)
n77 (C)
y
X
Boundary conditions:
- Dimensioned AB:
T
= 100°C
- Dimensioned BA:
=
0.
- Dimensioned BC, CD: T
ext.
= 0°C
H
= 750W/m ˛ °C
Points
X
Y
Nodes
E
0.6
0.2
N21
With
0.0
0.0
N1
B
0.6
0.0
N7
C
0.6
1.0
N77
D
0.0
1.0
N71
N2 n3 n4 n5 n6
n14
n28
…
3.2
Characteristics of the mesh
A number of nodes:
77
A number of meshs and types: 60 QUAD4 (16 SEG2)
3.3 Functionalities
tested
Controls
AFFE_MODELE
THERMICS
PLAN
ALL
AFFE_CHAR_THER
TEMP_IMPO
EXCHANGE
COEF_H
THER_LINEAIRE
EXCIT
CHARGE
RECU_CHAMP
NUME_ORDRE
Code_Aster
®
Version
5.0
Titrate:
TPLP300 Plates rectangular: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER
Key
:
V4.05.300-A
Page:
5/6
Manual of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
4
Results of modeling A
4.1 Values
tested
Identification Reference
Aster difference
tolerance
Temperature (°C)
At the point E: N21
18.3
17.954
-
1.89
1%
4.2 Parameters
of execution
Version: 5.03
Machine: SGI - ORIGIN 2000 - R12000
Overall dimension memory:
8 megawords
Time CPU To use: 1.84 seconds
Code_Aster
®
Version
5.0
Titrate:
TPLP300 Plates rectangular: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER
Key
:
V4.05.300-A
Page:
6/6
Manual of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A
5
Summary of the results
Modeling gives a result which exceeds the tolerance fixed initially. The maximum change obtained
is 1.9%, to compare with the tolerance of 1%.
In this test, the heat gradients are more important close to the point B (imposed temperature and
convection), a finer mesh in this area would improve quality of the results.
The results are regarded as acceptable taking into account the type of mesh (QUAD4) and of
density of the mesh used
The interest of this test is its origin NAFEMS.