Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
1/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Organization (S)
: EDF/IMA/MN
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
Document: V4.03.101
TPLS101 - Infinite plate subjected to an exchange
symmetrical thermics with outside
Summary:
The purpose of this test is to test the model of thermal hull linear with three fields per comparison with
analytical solution, for an infinite plate subjected to a couple of conditions of heat exchange with
outside, symmetrical compared to the average layer. The equation of heat is solved in hover, with
a linear, isotropic, homogeneous conduction.
The results are presented for the finite elements available of thermal surface hull triangles and
quadrangles.
Compared to test TPLS100 [V4.03.100], the aforementioned makes it possible to check the contribution of the coefficients of exchange to
thermal rigidity, like various methods of assignment of the boundary conditions. Moreover, the solution
is such as the temperature is uniform in the thickness.
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
2/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
1
Problem of reference
1.1 Geometry
O
Z
D
F
With
B
L
C
X
B
E
y
Length: L = 20mm
Width: B = 2mm
Thickness: H = 4mm
1.2
Material properties
Conductivity
= 1000 W/mm/°C
1.3
Boundary conditions and loadings
·
Null temperature at the point O, on all the thickness.
·
On the higher faces (ABEF)
+
and lower (ABEF)
:
coefficient of exchange: H = 10 W/mm
2
/°C
outside air temperature: Text = 50°C
·
On the faces higher (BCDE)
+
and lower (BCDE)
:
coefficient of exchange: H = 10 W/mm
2
/°C
outside air temperature: Text = 50°C
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
3/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
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, lower skin and average layer.
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).
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
4/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
Cutting:
28 elements in length,
8 elements in width.
Boundary conditions - loading (three calculations for three choices):
·
calculation a: scalar loadings and dualisation of the condition of Dirichlet:
TEMP_IMPO (NODE: N1, TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
EXCHANGE: (GROUP_MA:GRSD1, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: - 50., TEMP_EXT_INF: - 50.)
(GROUP_MA:GRSD2, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: 50., TEMP_EXT_INF: 50.)
·
calculation b: loadings constant functions and dualisation of the condition of Dirichlet:
as above, but with constant functions having same values.
·
calculation C: scalar loadings and “kinematic” loading:
THER_IMPO: (NODE: N1, TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
3.2
Characteristics of the mesh
A number of nodes: 969
A number of meshs and types: 448 meshs TRIA6
3.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MODELE
“THERMAL”
“HULL”
ALL
[U4.22.01]
AFFE_CHAR_THER
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_THER_F
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_CINE
THER_IMPO
NODE
[U4.25.05]
CALC_CHAR_CINE
[U4.41.03]
N201
y
X
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
5/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
calculation has
Aster
calculation B
Aster
calculation C
% difference
N201 node
Temp_sup
49.999
49.9999
49.9999
49.9999
0.002
( 10., 0.)
Temp
49.999
49.9999
49.9999
49.9999
0.002
Temp_inf
49.999
49.9999
49.9999
49.9999
0.002
N176 node
Temp_sup
49.9658
49.9655
49.9655
49.9655
0.001
( 5.15, 0.)
Temp
49.9658
49.9655
49.9655
49.9655
0.001
Temp_inf
49.9658
49.9655
49.9655
49.9655
0.001
N171 node
Temp_sup
49.8888
49.8879
49.8879
49.8879
0.002
( 4.32, 0.)
Temp
49.8888
49.8879
49.8879
49.8879
0.002
Temp_inf
49.8888
49.8879
49.8879
49.8879
0.002
N166 node
Temp_sup
49.6631
49.6611
49.6611
49.6611
0.008
( 3.53, 0.)
Temp
49.6631
49.6611
49.6611
49.6611
0.008
Temp_inf
49.6631
49.6611
49.6611
49.6611
0.008
N161 node
Temp_sup
49.0542
49.0500
49.0500
49.0500
0.008
( 2.8, 0.)
Temp
49.0542
49.0500
49.0500
49.0500
0.008
Temp_inf
49.0542
49.0500
49.0500
49.0500
0.008
N156 node
Temp_sup
47.556
47.5482
47.5482
47.5482
0.016
( 2.13, 0.)
Temp
47.556
47.5482
47.5482
47.5482
0.017
Temp_inf
47.556
47.5482
47.5482
47.5482
0.016
N141 node
Temp_sup
26.700
26.6833
26.6833
26.6833
0.062
( 0.54, 0.)
Temp
26.700
26.6828
26.6828
26.6828
0.064
Temp_inf
26.700
26.6833
26.6833
26.6833
0.062
N136 node
Temp_sup
11.830
11.8212
11.8212
11.8212
0.074
( 0.19, 0.)
Temp
11.830
11.8206
11.8206
11.8206
0.079
Temp_inf
11.830
11.8212
11.8212
11.8212
0.074
N11 node
Temp_sup
26.700
26.6833
26.6833
26.6833
0.062
(0.54, 0.)
Temp
26.700
26.6828
26.6828
26.6828
0.064
Temp_inf
26.700
26.6833
26.6833
26.6833
0.062
N26 node
Temp_sup
47.556
47.5482
47.5482
47.5482
0.016
(2.13, 0.)
Temp
47.556
47.5481
47.5481
47.5481
0.017
Temp_inf
47.556
47.5482
47.5482
47.5482
0.016
Contents of the file results
·
Temperatures with the nodes of calculation has,
·
heat transfer rate on the average layer (calculation has),
·
values tested deferred above (calculations has, B, c).
4.2 Parameters
of execution
Version: NEW 4.00.02
Machine: CRAY C90
System UNICOS:
9.0
Overall dimension memory:
16 megawords
Time CPU To use:
54.7 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
6/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
5 Modeling
B
5.1
Characteristics of modeling
Cutting:
68 elements in length,
2 elements in width.
Boundary conditions - loading (three calculations for three choices):
·
scalar loadings and dualisation of the condition of Dirichlet:
TEMP_IMPO (NODE: N1, TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
EXCHANGE: (GROUP_MA:GRSD1, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: - 50., TEMP_EXT_INF: - 50.)
(GROUP_MA:GRSD2, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: 50., TEMP_EXT_INF: 50.)
·
loadings constant functions and dualisation of the condition of Dirichlet:
as above, but with constant functions having same values.
·
scalar loadings and “kinematic” loading:
THER_IMPO: (NODE: N1,
TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
5.2
Characteristics of the mesh
A number of nodes: 456
A number of meshs and types: 136 meshs QUAD4
5.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MODELE
“THERMAL”
“HULL”
ALL
[U4.22.01]
AFFE_CHAR_THER
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_THER_F
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_CINE
THER_IMPO
NODE
[U4.25.05]
CALC_CHAR_CINE
[U4.41.03]
N387
y
X
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
7/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster
calculation has
Aster
calculation B
Aster
calculation C
% difference
N387 node
Temp_sup
49.999
49.9999
49.9999
49.9999
0.002
( 10., 0.)
Temp
49.999
49.9999
49.9999
49.9999
0.002
Temp_inf
49.999
49.9999
49.9999
49.9999
0.002
N397 node
Temp_sup
49.9658
49.9669
49.9669
49.9669
0.002
( 5.15, 0.)
Temp
49.9658
49.9669
49.9669
49.9669
0.002
Temp_inf
49.9658
49.9669
49.9669
49.9669
0.002
N401 node
Temp_sup
49.8888
49.8913
49.8913
49.8913
0.005
( 4.32, 0.)
Temp
49.8888
49.8913
49.8913
49.8913
0.005
Temp_inf
49.8888
49.8913
49.8913
49.8913
0.005
N405 node
Temp_sup
49.6631
49.6661
49.6661
49.6661
0.006
( 3.53, 0.)
Temp
49.6631
49.6661
49.6661
49.6661
0.006
Temp_inf
49.6631
49.6661
49.6661
49.6661
0.006
N409 node
Temp_sup
49.0542
49.0594
49.0594
49.0594
0.011
( 2.8, 0.)
Temp
49.0542
49.0594
49.0594
49.0594
0.011
Temp_inf
49.0542
49.0594
49.0594
49.0594
0.011
N412 node
Temp_sup
47.556
47.5657
47.5657
47.5657
0.020
( 2.13, 0.)
Temp
47.556
47.5657
47.5657
47.5657
0.020
Temp_inf
47.556
47.5657
47.5657
47.5657
0.020
N420 node
Temp_sup
26.700
26.7559
26.7559
26.7559
0.209
( 0.54, 0.)
Temp
26.700
26.7553
26.7553
26.7553
0.207
Temp_inf
26.700
26.7559
26.7559
26.7559
0.209
N422 node
Temp_sup
11.830
11.8119
11.8119
11.8119
0.153
( 0.19, 0.)
Temp
11.830
11.8106
11.8106
11.8106
0.164
Temp_inf
11.830
11.8119
11.8119
11.8119
0.153
N426 node
Temp_sup
26.700
26.7559
26.7559
26.7559
0.209
(0.54, 0.)
Temp
26.700
26.7553
26.7553
26.7553
0.207
Temp_inf
26.700
26.7559
26.7559
26.7559
0.209
N434 node
Temp_sup
47.556
47.5657
47.5657
47.5657
0.020
(2.13, 0.)
Temp
47.556
47.5656
47.5656
47.5656
0.020
Temp_inf
47.556
47.5657
47.5657
47.5657
0.020
6.2 Parameters
of execution
Version: NEW 4.01.13
Machine: CRAY C90
System UNICOS:
8.0
Overall dimension memory:
16 megawords
Time CPU To use:
8.666 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
8/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
7 Modeling
C
7.1
Characteristics of modeling
Cutting:
30 elements in length,
2 elements in width.
Boundary conditions - loading (three calculations for three choices):
·
scalar loadings and dualisation of the condition of Dirichlet:
TEMP_IMPO (NODE: N1, TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
EXCHANGE: (GROUP_MA:GRSD1, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: - 50., TEMP_EXT_INF: - 50.)
(GROUP_MA:GRSD2, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: 50., TEMP_EXT_INF: 50.)
·
loadings constant functions and dualisation of the condition of Dirichlet:
as above, but with constant functions having same values.
·
scalar loadings and “kinematic” loading:
THER_IMPO: (NODE: N1,
TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
7.2
Characteristics of the mesh
A number of nodes: 410
A number of meshs and types: 60 meshs QUAD8
7.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MODELE
“THERMAL”
“HULL”
ALL
[U4.22.01]
AFFE_CHAR_THER
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_THER_F
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_CINE
THER_IMPO
NODE
[U4.25.05]
CALC_CHAR_CINE
[U4.41.03]
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
9/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
8
Results of modeling C
8.1 Values
tested
Identification
Reference
Aster
calculation has
Aster
calculation B
Aster
calculation C
% difference
N227 node
Temp_sup
49.999
49.9999
49.9999
49.9999
0.002
( 10., 0.)
Temp
49.999
49.9999
49.9999
49.9999
0.002
Temp_inf
49.999
49.9999
49.9999
49.9999
0.002
N233 node
Temp_sup
49.9658
49.9656
49.9656
49.9656
0.001
( 5.15, 0.)
Temp
49.9658
49.9656
49.9656
49.9656
0.001
Temp_inf
49.9658
49.9656
49.9656
49.9656
0.001
N235 node
Temp_sup
49.8888
49.8887
49.8887
49.8887
0.001
( 4.32, 0.)
Temp
49.8888
49.8887
49.8887
49.8887
0.001
Temp_inf
49.8888
49.8887
49.8887
49.8887
0.001
N237 node
Temp_sup
49.6631
49.6598
49.6598
49.6598
0.007
( 3.53, 0.)
Temp
49.6631
49.6598
49.6598
49.6598
0.007
Temp_inf
49.6631
49.6598
49.6598
49.6598
0.007
N238 node
Temp_sup
49.0542
49.0459
49.0459
49.0459
0.017
( 2.8, 0.)
Temp
49.0542
49.0459
49.0459
49.0459
0.017
Temp_inf
49.0542
49.0459
49.0459
49.0459
0.017
N239 node
Temp_sup
47.556
47.5403
47.5403
47.5403
0.033
( 2.13, 0.)
Temp
47.556
47.5403
47.5403
47.5403
0.033
Temp_inf
47.556
47.5403
47.5403
47.5403
0.033
N242 node
Temp_sup
26.700
26.7039
26.7039
26.7039
0.015
( 0.54, 0.)
Temp
26.700
26.7034
26.7034
26.7034
0.013
Temp_inf
26.700
26.7039
26.7039
26.7039
0.015
N243 node
Temp_sup
11.830
11.7826
11.7826
11.7826
0.401
( 0.19, 0.)
Temp
11.830
11.7818
11.7818
11.7818
0.407
Temp_inf
11.830
11.7826
11.7826
11.7826
0.401
N246 node
Temp_sup
26.700
26.7039
26.7039
26.7039
0.015
(0.54, 0.)
Temp
26.700
26.7034
26.7034
26.7034
0.013
Temp_inf
26.700
26.7039
26.7039
26.7039
0.015
N249 node
Temp_sup
47.556
47.5403
47.5403
47.5403
0.033
(2.13, 0.)
Temp
47.556
47.5402
47.5402
47.5402
0.033
Temp_inf
47.556
47.5403
47.5403
47.5403
0.033
8.2 Parameters
of execution
Version: NEW 4.01.13
Machine: CRAY C90
System UNICOS:
8.0
Overall dimension memory:
16 megawords
Time CPU To use:
9.585 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
10/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
9 Modeling
D
9.1
Characteristics of modeling
Cutting:
30 elements in length,
2 elements in width.
Boundary conditions - loading (three calculations for three choices):
·
scalar loadings and dualisation of the condition of Dirichlet:
TEMP_IMPO (NODE: N1, TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
EXCHANGE: (GROUP_MA:GRSD1, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: - 50., TEMP_EXT_INF: - 50.)
(GROUP_MA:GRSD2, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: 50., TEMP_EXT_INF: 50.)
·
loadings constant functions and dualisation of the condition of Dirichlet:
as above, but with constant functions having same values.
·
scalar loadings and “kinematic” loading:
THER_IMPO: (NODE: N1,
TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
9.2
Characteristics of the mesh
A number of nodes: 470
A number of meshs and types: 60 meshs QUAD9
9.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MODELE
“THERMAL”
“HULL”
ALL
[U4.22.01]
AFFE_CHAR_THER
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_THER_F
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_CINE
THER_IMPO
NODE
[U4.25.05]
CALC_CHAR_CINE
[U4.41.03]
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
11/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
10
Results of modeling D
10.1 Values
tested
Identification
Reference
Aster
calculation has
Aster
calculation B
Aster
calculation C
% difference
N227 node
Temp_sup
49.999
49.9999
49.9999
49.9999
0.002
( 10., 0.)
Temp
49.999
49.9999
49.9999
49.9999
0.002
Temp_inf
49.999
49.9999
49.9999
49.9999
0.002
N233 node
Temp_sup
49.9658
49.9656
49.9656
49.9656
0.001
( 5.15, 0.)
Temp
49.9658
49.9656
49.9656
49.9656
0.001
Temp_inf
49.9658
49.9656
49.9656
49.9656
0.001
N235 node
Temp_sup
49.8888
49.8887
49.8887
49.8887
0.001
( 4.32, 0.)
Temp
49.8888
49.8887
49.8887
49.8887
0.001
Temp_inf
49.8888
49.8887
49.8887
49.8887
0.001
N237 node
Temp_sup
49.6631
49.6598
49.6598
49.6598
0.007
( 3.53, 0.)
Temp
49.6631
49.6598
49.6598
49.6598
0.007
Temp_inf
49.6631
49.6598
49.6598
49.6598
0.007
N238 node
Temp_sup
49.0542
49.0459
49.0459
49.0459
0.017
( 2.8, 0.)
Temp
49.0542
49.0459
49.0459
49.0459
0.017
Temp_inf
49.0542
49.0459
49.0459
49.0459
0.017
N239 node
Temp_sup
47.556
47.5403
47.5403
47.5403
0.033
( 2.13, 0.)
Temp
47.556
47.5403
47.5403
47.5403
0.033
Temp_inf
47.556
47.5403
47.5403
47.5403
0.033
N242 node
Temp_sup
26.700
26.7039
26.7039
26.7039
0.015
( 0.54, 0.)
Temp
26.700
26.7034
26.7034
26.7034
0.013
Temp_inf
26.700
26.7039
26.7039
26.7039
0.015
N243 node
Temp_sup
11.830
11.7826
11.7826
11.7826
0.401
( 0.19, 0.)
Temp
11.830
11.7818
11.7818
11.7818
0.407
Temp_inf
11.830
11.7826
11.7826
11.7826
0.401
N246 node
Temp_sup
26.700
26.7039
26.7039
26.7039
0.015
(0.54, 0.)
Temp
26.700
26.7034
26.7034
26.7034
0.013
Temp_inf
26.700
26.7039
26.7039
26.7039
0.015
N249 node
Temp_sup
47.556
47.5403
47.5403
47.5403
0.033
(2.13, 0.)
Temp
47.556
47.5402
47.5402
47.5402
0.033
Temp_inf
47.556
47.5403
47.5403
47.5403
0.033
10.2 Parameters
of execution
Version: NEW 4.01.13
Machine: CRAY C90
System UNICOS:
8.0
Overall dimension memory:
16 megawords
Time CPU To use:
10.858 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
12/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
11 Modeling
E
11.1 Characteristics of modeling
Cutting:
30 elements in length,
2 elements in width.
Boundary conditions - loading (three calculations for three choices):
·
scalar loadings and dualisation of the condition of Dirichlet:
TEMP_IMPO (NODE: N1, TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
EXCHANGE: (GROUP_MA:GRSD1, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: - 50., TEMP_EXT_INF: - 50.)
(GROUP_MA:GRSD2, COEF_H_SUP: 10., COEF_H_INF: 10.,
TEMP_EXT_SUP: 50., TEMP_EXT_INF: 50.)
·
loadings constant functions and dualisation of the condition of Dirichlet:
as above, but with constant functions having same values.
·
scalar loadings and “kinematic” loading:
THER_IMPO: (NODE: N1,
TEMP_SUP: 0., TEMP: 0., TEMP_INF: 0.)
11.2 Characteristics of the mesh
A number of nodes: 590
A number of meshs and types: 120 meshs TRIA7
11.3 Functionalities
tested
Controls
Keys
AFFE_CARA_ELEM
HULL
ALL
[U4.24.01]
DEFI_MATERIAU
THER
[U4.23.01]
AFFE_MODELE
“THERMAL”
“HULL”
ALL
[U4.22.01]
AFFE_CHAR_THER
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_THER_F
TEMP_IMPO
NODE
[U4.25.02]
EXCHANGE
GROUP_MA
AFFE_CHAR_CINE
THER_IMPO
NODE
[U4.25.05]
CALC_CHAR_CINE
[U4.41.03]
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
13/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
12
Results of modeling E
12.1 Values
tested
Identification
Reference
Aster
calculation has
Aster
calculation B
Aster
calculation C
% difference
N227 node
Temp_sup
49.999
49.9999
49.9999
49.9999
0.002
( 10., 0.)
Temp
49.999
49.9999
49.9999
49.9999
0.002
Temp_inf
49.999
49.9999
49.9999
49.9999
0.002
N233 node
Temp_sup
49.9658
49.9659
49.9659
49.9659
0.001
( 5.15, 0.)
Temp
49.9658
49.9659
49.9659
49.9659
0.001
Temp_inf
49.9658
49.9659
49.9659
49.9659
0.001
N235 node
Temp_sup
49.8888
49.8886
49.8886
49.8886
0.001
( 4.32, 0.)
Temp
49.8888
49.8886
49.8886
49.8886
0.001
Temp_inf
49.8888
49.8886
49.8886
49.8886
0.001
N237 node
Temp_sup
49.6631
49.6572
49.6572
49.6572
0.012
( 3.53, 0.)
Temp
49.6631
49.6572
49.6572
49.6572
0.012
Temp_inf
49.6631
49.6572
49.6572
49.6572
0.012
N238 node
Temp_sup
49.0542
49.0428
49.0428
49.0428
0.023
( 2.8, 0.)
Temp
49.0542
49.0428
49.0428
49.0428
0.023
Temp_inf
49.0542
49.0428
49.0428
49.0428
0.023
N239 node
Temp_sup
47.556
47.5377
47.5377
47.5377
0.038
( 2.13, 0.)
Temp
47.556
47.5376
47.5376
47.5376
0.039
Temp_inf
47.556
47.5377
47.5377
47.5377
0.038
N242 node
Temp_sup
26.700
26.7178
26.7178
26.7178
0.067
( 0.54, 0.)
Temp
26.700
26.7172
26.7172
26.7172
0.064
Temp_inf
26.700
26.7178
26.7178
26.7178
0.067
N243 node
Temp_sup
11.830
11.7974
11.7974
11.7974
0.275
( 0.19, 0.)
Temp
11.830
11.7965
11.7965
11.7965
0.283
Temp_inf
11.830
11.7974
11.7974
11.7974
0.275
N246 node
Temp_sup
26.700
26.7178
26.7178
26.7178
0.067
(0.54, 0.)
Temp
26.700
26.7172
26.7172
26.7172
0.064
Temp_inf
26.700
26.7178
26.7178
26.7178
0.067
N249 node
Temp_sup
47.556
47.5377
47.5377
47.5377
0.038
(2.13, 0.)
Temp
47.556
47.5376
47.5376
47.5376
0.039
Temp_inf
47.556
47.5377
47.5377
47.5377
0.038
12.2 Parameters
of execution
Version: NEW 4.01.13
Machine: CRAY C90
System UNICOS:
8.0
Overall dimension memory:
16 megawords
Time CPU To use:
14.679 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS101 Plates infinite subjected to a symmetrical heat exchange
Date:
01/12/98
Author (S)
:
P. MASSIN, F. VOLDOIRE
Key:
V4.03.101-C
Page:
14/14
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
13
Summary of the results
It is noted that the variations on the temperature are weak compared to the reference solution
(lower than 0.41%).
Meshs QUAD8 and QUAD9 give the same results.