Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP300 Plaque: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.300-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
V4.05.300 document

TPLP300 - Rectangular Plaque: 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.

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

Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP300 Plaque: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.300-A Page:
2/6

1
Problem of reference

1.1 Geometry
D
C
dimensions in meters
1.0
Y
E
X
0.2
With
B
0.6


1.2
Properties of material


= 52 W/m.°C
Thermal conductivity

1.3
Boundary conditions and loadings

· imposed temperature with dimensions [AB]: Tp= 100°C,
· density flux = 0 on the with dimensions one [DA],
· convection on the with dimensions ones [BC] and [CD],
-
H = 750 W/m ² °C,
- Text = 0°C.

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 TPLP300 Plaque: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.300-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 “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 and Standard (the U.K.)): “The
standard NAFEMS Benchmarcks ", TNSB rév 3, October 1990.
Handbook of Validation
V4.05 booklet: Stationary thermics of the plane structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP300 Plaque: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.300-A Page:
4/6

3 Modeling
With

3.1
Characteristics of modeling

PLAN (QUAD4)

Boundary conditions:
y
n71 (D)
n77 (C)
- Dimensioned AB:
T
= 100°C
- Dimensioned BA:
=
0.
- Dimensioned BC, CD: Text = 0°C
H
= 750W/m ² °C
Points
X
Y
Nodes
E
0.6
0.2
N21

With
0.0
0.0
N1
n28
B
0.6
0.0
N7
n21 (E)
C
0.6
1.0
N77
D
0.0
1.0
N71
n14
X
N2 n3 n4 n5 n6
n1 (A)
n7 (B)

3.2
Characteristics of the grid

A number of nodes:
77
A number of meshs and types: 60 QUAD4 (16 SEG2)

3.3 Functionalities
tested

Commands




AFFE_MODELE
THERMIQUE
PLAN
TOUT
AFFE_CHAR_THER
TEMP_IMPO

ECHANGE
COEF_H

THER_LINEAIRE
EXCIT
CHARGE

RECU_CHAMP
NUME_ORDRE

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

Code_Aster ®
Version
5.0
Titrate:
Rectangular TPLP300 Plaque: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.300-A Page:
5/6

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

Obstruction memory:
8 megawords
Time CPU To use: 1.84 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 TPLP300 Plaque: convection, imposed temperature
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.05.300-A Page:
6/6

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 grid in this zone 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 grid used

The interest of this test is its origin NAFEMS.

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

Outline document