Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
1/8
Organization (S): EDF/IMA/MN
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
Document: V4.03.100
TPLS100 - Infinite Plaque subjected to flows
antisymmetric
Summary:
The purpose of this test is to test the model of thermal hull linear with three fields (MODELISATION:
“COQUE” or “COQUE_PLAN”) by comparison with an analytical solution, for an infinite plate subjected to one
couple stationary antisymmetric heat flows on its two half-faces, in stationary regime.
The equation of heat is solved in hover, with a linear, isotropic, homogeneous conduction.
Two modelings: With for the finite elements of surface hull (triangles) and B for the linear elements
(segments).
One simultaneously tests in each modeling the elementary commands and the total command
THER_LINEAIRE [U4.33.01].
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
2/8
1
Problem of reference
1.1 Geometry
Z
y
F
E
D
O
X
B
With
B
C
L
Length: L = 20mm
Width: B = 2mm
Thickness: H = 4mm
1.2
Material properties
Conductivity = 4.5 W/mm/°C
Voluminal heat: (CP = 0.) J/(°C. mm3)
1.3
Boundary conditions and loadings
Null temperature on the average layer of the plate:
TEMP = 0.
Flow imposed on the upper surface (ABEF) +
flux+ = 30. W/mm2/°C
Flow imposed on the upper surface (ABEF) -
flow = 30. W/mm2/°C
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
3/8
2
Reference solution
2.1
Method of calculation used for the reference solution
Analytical
For more details to refer to the document [R3.11.01] and the note [bib1].
2.2
Results of reference
· Temperature in higher skin,
· Flow in nodes placed on axis OX in higher skin.
2.3
Uncertainty on the solution
Analytical solution.
2.4 References
bibliographical
[1]
S. ANDRIEUX, F. VOLDOIRE HI-71/7131 - Formulation of a model of thermics for
thin hulls (7/12/90).
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
4/8
3 Modeling
With
3.1
Characteristics of modeling
y
X
N176
N161
N1
N32
N46
X
Cutting:
28 elements in length,
8 elements in width.
Boundary conditions - loading:
TEMP_IMPO (ALL:“yes”, TEMP:0.)
FLUX_REP (Group_Ma: GRSD2,
FLUN_INF:- 30.
FLUN_SUP:30.)
3.2
Characteristics of the grid
A number of nodes: 969
A number of meshs and types: 448 meshs TRIA6
3.3 Functionalities
tested
Commands
Keys
AFFE_CARA_ELEM
COQUE
TOUT
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“THERMIQUE”
“COQUE”
TOUT
[U4.22.01]
AFFE_CHAR_THER_F
TEMP_IMPO
FLUX_REP
[U4.25.02]
CALC_MATR_ELEM
RIGI_THER
[U4.41.01]
CALC_MATR_VECT
CHAR_THER
[U4.42.01]
NUME_DDL
[U4.42.02]
ASSE_MATRICE
[U4.41.02]
ASSE_VECTEUR
[U4.42.03]
FACT_LDLT
[U4.51.01]
RESO_LDLT
[U4.52.02]
AFFE_CHAR_THER
TEMP_IMPO
TOUT
[U4.25.02]
FLUX_REP
GROUP_MA
THER_LINEAIRE
CARA_ELEM
[U4.33.01]
CALC_ELEM
RESULTAT
[U4.61.02]
NIVE_COUCHE
CARA_ELEM
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
5/8
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
TEMP_SUP:
node N201 ( 10., 0)
13.3321
13.3310
0.008
node N176 ( 5.15, 0)
13.2565
13.2564
0.001
node N161 ( 2.8, 0)
12.7462
12.7458
0.003
node N1 (0., 0.)
6.6666
6.6666
0.001
node N32 (28, 0.25)
0.5870
0.5872
0.027
node N46 (5.15, 0)
0.07679
0.07693
0.177
Flow component X:
N176 node
net M297
0.2992
0.2907
2.84
net M289
0.2992
0.2780
7.09
net M290
0.2992
0.2799
6.44
average value
0.2992
0.283
5.46
N161 node
net M265
2.287
2.186
4.43
net M266
2.287
2.197
3.92
net M273
2.287
2.242
1.96
average value
2.287
2.208
3.44
N1 node
net M1
25.98
25.94
0.15
net M225
25.98
25.94
0.14
net M337
25.98
25.94
0.14
average value
25.98
25.94
0.14
Contents of the file results
· Temperatures with the nodes,
· heat flow to the nodes in higher wall,
· values tested deferred above.
4.2 Parameters
of execution
Version: 3.06
Machine: CRAY C90
System UNICOS:
8.4
Obstruction memory:
8 megawords
Time CPU To use:
37.68 seconds
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
6/8
5 Modeling
B
5.1
Characteristics of modeling
y
N201
N1
N71
X
10
+10
0
Cutting: 28 linear elements in length, (even progression of meshs that in the grid
modeling A).
Boundary conditions - loading:
TEMP_IMPO (ALL:“yes”, TEMP:0.)
FLUX_REP (Group_Ma: GRSD2,
FLUX_INF:- 30.
FLUX_SUP:30.)
5.2
Characteristics of the grid
A number of nodes: 57
A number of meshs and types: 28 meshs SEG3
5.3 Functionalities
tested
Commands
Keys
AFFE_CARA_ELEM
COQUE
TOUT
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MATERIAU
TOUT
[U4.23.02]
AFFE_MODELE
“THERMIQUE”
“COQUE_PLAN”
TOUT
[U4.22.01]
AFFE_CHAR_THER
TEMP_IMPO
TOUT
[U4.25.02]
FLUX_REP
GROUP_MA
AFFE_CHAR_THER_F
TEMP_IMPO
TOUT
[U4.25.02]
FLUX_REP
GROUP_MA
CALC_MATR_ELEM
RIGI_THER
[U4.41.01]
CALC_MATR_VECT
CHAR_THER
[U4.42.01]
NUME_DDL
[U4.42.02]
ASSE_MATRICE
[U4.41.02]
ASSE_VECT
[U4.42.03]
FACT_LDLT
[U4.51.01]
RESO_LDLT
[U4.52.02]
THER_LINEAIRE
CARA_ELEM
[U4.33.01]
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
7/8
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster
% difference
TEMP_SUP:
node N201 ( 10., 0)
13.3321
13.331
0.008
node N176 ( 5.15, 0)
13.2565
13.2565
-
node N161 ( 2.8, 0)
12.7462
12.7462
-
node N1 (0., 0.)
6.6666
6.6666
0.001
node N46 (5.15, 0)
0.07679
0.07683
0.05
Contents of the files results
· Temperatures with the nodes on the upper surface,
· values tested deferred above.
6.2 Parameters
of execution
Version: 3.06
Machine: CRAY C90
System UNICOS:
8.4
Obstruction memory:
8 megawords
Time CPU To use:
5.2 seconds
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Code_Aster ®
Version
4.0
Titrate:
Infinite TPLS100 Plaque subjected to antisymmetric flows
Date: 01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE, A.M. DONORE
Key:
V4.03.100-C Page:
8/8
7
Summary of the results
In modeling A with meshs TRIA6, one notes that the variations on flows are lower than
1%, except in the zones where those are very weak.
Handbook of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A