Code_Aster ®
Version
5.0
Titrate:
TPLV06 Dégagement of power in a hollow sphere
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.006-A Page:
1/6
Organization (S): EDF/AMA, EDF/UTO/LOCATED, Delta CAD
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
V4.04.006 document
TPLV06 - Dégagement of power in one
hollow sphere
Summary:
This test results from the validation independent of version 3 in linear stationary thermics.
It is about a three-dimensional problem which aims to validate the voluminal thermal element subjected to
a temperature imposed and on a heat source.
This case test includes/understands a modeling 3D. The results are compared with an analytical solution (VPCS).
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
TPLV06 Dégagement of power in a hollow sphere
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.006-A Page:
2/6
1
Problem of reference
1.1 Geometry
Re
IH
Hollow sphere:
- Interior Radius IH = 1 m
- External Radius Re = 2 m
R
O
Q
1.2
Properties of material
=
1. W/m °C
Thermal conductivity
1.3
Boundary conditions and loadings
· Ti = T (R = IH) = 20°C,
· Te = T (R = Re) = 20°C,
· Q = 100 W/M3.
1.4 Conditions
initial
Without object.
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
TPLV06 Dégagement of power in a hollow sphere
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.006-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 TPLV06/89 of guide VPCS.
· Temperature according to R:
1
1
(
R 2 - R 2
-
E
I)
Q
R
R
T = T
I
+
- (R 2 - R 2
I
I)
6
1
1
-
R
R
I
E
· Density flux according to R:
dT
2 Q
2
1
1
= - 4
= -
(2
R -
2
R)
-
- 2 3
R
R
E
I
Dr.
3
R
R
I
E
2.2
Results of reference
Temperature in R = 1.25; 1.5 and 1.75 m
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
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
TPLV06 Dégagement of power in a hollow sphere
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.006-A Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
3D (HEXA8)
N101
G
Limiting conditions:
C
N106
N105
- faces ABCD, EFGH,
ABFE, DCGH = 0
N111
N110
- faces ADHE, BCGF T = 20°C
F
N1
N116
N115
N6
X
N120
N121
N11
B
N5
Z
H
N16
N125
D
N10
E
N15
N21
N20
C
With
N25
30°
30°
y
3.2
Characteristics of the grid
A number of nodes:
125
A number of meshs and types: 64 HEXA8
3.3 Functionalities
tested
Commands
AFFE_MODELE
THERMIQUE
3D
TOUT
AFFE_CHAR_THER
TEMP_IMPO
SOURCE
THER_LINEAIRE
EXCIT
CHARGE
RECU_CHAMP
NUME_ORDRE
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
TPLV06 Dégagement of power in a hollow sphere
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.006-A Page:
5/6
4
Results of modeling A
4.1 Values
tested
Identification Reference
Aster %
difference
tolerance
Temperature (°C)
R = 1.25 (N16)
30.625
30.471
- 0.504
1%
R = 1.25 (N116)
30.625
30.471
- 0.504
1%
R = 1.25 (N20)
30.625
30.462
- 0.532
1%
R = 1.25 (N120)
30.625
30.462
- 0.532
1%
R = 1.50 (N11)
32.500
32.337
- 0.500
1%
R = 1.50 (N111)
32.500
32.337
- 0.500
1%
R = 1.50 (N15)
32.500
32.335
- 0.507
1%
R = 1.50 (N115)
32.500
32.335
- 0.507
1%
R = 1.75 (N6)
28.482
28.379
- 0.362
1%
R = 1.75 (N106)
28.482
28.379
- 0.362
1%
R = 1.75 (N10)
28.482
28.382
- 0.351
1%
R = 1.75 (N110)
28.482
28.382
- 0.351
1%
4.2 Parameters
of execution
Version: 5.03
Machine: SGI - ORIGIN 2000 - R12000
Obstruction memory:
8 megawords
Time CPU To use: 2.00 seconds
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
Code_Aster ®
Version
5.0
Titrate:
TPLV06 Dégagement of power in a hollow sphere
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.006-A Page:
6/6
5
Summary of the results
The results obtained are satisfactory, the maximum change obtained is 0.53%.
Modeling 3D used to model this sphere is correct.
The quality of the results could be still improved in:
· carrying out a finer grid of the portion of sphere,
· choosing quadratic elements for better approximating the reference solution.
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
Outline document