Microsoft Word - V403100c.doc

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

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: V4.03.100

TPLS100 - Infinite plate subjected to flows
antisymmetric

Summary:

The purpose of this test is to test the model of thermal hull linear with three fields (

MODELING:

“HULL”

“COQUE_PLAN”

) by comparison with an analytical solution, for an infinite plate subjected to one

couple stationary antisymmetric heat transfer rates 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 controls and the total control

THER_LINEAIRE

[U4.33.01].

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

Manual of Validation

V4.03 booklet: Stationary thermics of the plates and the hulls

HI-75/98/040 - Ind A

Problem of reference

1.1 Geometry

With

Length: L = 20mm
Width: B = 2mm
Thickness: H = 4mm

1.2

Material properties

Conductivity

= 4.5 W/mm/°C

Voluminal heat: (

= 0.) J/(°C. mm

)

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/mm

/°C

Flow imposed on the upper surface (ABEF) -

flow = 30. W/mm

/°C

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

Manual of Validation

V4.03 booklet: Stationary thermics of the plates and the hulls

HI-75/98/040 - Ind A

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).

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

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

N176

N161

N32

N46

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 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_MATERIAU

ALL

[U4.23.02]

AFFE_MODELE

“THERMAL”

“HULL”

ALL

[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
FLUX_REP

ALL
GROUP_MA

[U4.25.02]

THER_LINEAIRE

CARA_ELEM

[U4.33.01]

CALC_ELEM

RESULT

[U4.61.02]

NIVE_COUCHE

CARA_ELEM

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

Manual of Validation

V4.03 booklet: Stationary thermics of the plates and the hulls

HI-75/98/040 - Ind A

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

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 transfer rate 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

Overall dimension memory:

8 megawords

Time CPU To use:

37.68 seconds

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

Manual of Validation

V4.03 booklet: Stationary thermics of the plates and the hulls

HI-75/98/040 - Ind A

5 Modeling

5.1

Characteristics of modeling

+10

N201

N71

Cutting: 28 linear elements in length, (even progression of meshs that in the mesh
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 mesh

A number of nodes: 57

A number of meshs and types: 28 meshs

SEG3

5.3 Functionalities

tested

Controls

Keys

AFFE_CARA_ELEM

HULL

ALL

[U4.24.01]

DEFI_MATERIAU

THER

[U4.23.01]

AFFE_MATERIAU

ALL

[U4.23.02]

AFFE_MODELE

“THERMAL”

“COQUE_PLAN”

ALL

[U4.22.01]

AFFE_CHAR_THER

TEMP_IMPO
FLUX_REP

ALL
GROUP_MA

[U4.25.02]

AFFE_CHAR_THER_F

TEMP_IMPO

ALL

[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]

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

Manual of Validation

V4.03 booklet: Stationary thermics of the plates and the hulls

HI-75/98/040 - Ind A

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

node N161 ( 2.8, 0)

12.7462

node N1 (0., 0.)

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

Overall dimension memory:

8 megawords

Time CPU To use:

5.2 seconds

Code_Aster

Version

4.0

Titrate:

TPLS100 Plates infinite 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

Manual of Validation

V4.03 booklet: Stationary thermics of the plates and the hulls

HI-75/98/040 - Ind A

Summary of the results

In modeling A with meshs TRIA6, one notes that the variations on flows are lower than
1%, except in the areas where those are very weak.