Code_Aster ®
Version
7.4
Titrate:
Thermal modeling AXIS_FOURIER


Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER Key
:
U3.23.02-E Page
: 1/2

Organization (S): EDF-R & D/AMA, DeltaCAD
Handbook of Utilization
U3.23 booklet: Thermal finite elements 2D
Document: U3.23.02

Thermal modeling AXIS_FOURIER

Summary:

This document describes for thermal modeling AXIS_FOURIER:

· degrees of freedom carried by the finite elements which support modeling,
· the related meshs supports,
· supported materials and loadings,
· nonlinear possibilities,
· case-tests implementing modeling.

Modeling AXIS_FOURIER (Phénomčne: THERMIQUE) corresponds to finite elements of which meshs
supports are plane and make it possible to model the longitudinal section of parts of revolution around the axis
OZ (in cylindrical co-ordinates) subjected to boundary conditions of which the space distribution
break up into Fourier series around this axis.

Handbook of Utilization
U3.23 booklet: Thermal finite elements 2D
HT-66/05/004/A

Code_Aster ®
Version
7.4
Titrate:
Thermal modeling AXIS_FOURIER


Date:
01/06/05
Author (S):
X. DESROCHES, F. LEBOUVIER Key
:
U3.23.02-E Page
: 2/2

1 Discretization

1.1
Degrees of freedom

Modeling
Degrees of freedom
(with each node node)

AXIS_FOURIER
TEMP: corresponds to the temperature

1.2
Net support of the matrices of rigidity

Modeling Nets Interpolation
Remarks

AXIS_FOURIER TRIA3
Linear
QUAD4
Bilinear
TRIA6
Quadratic

QUAD8
Serendip

QUAD9
Biquadratic

1.3
Net support of the loadings

Modeling Nets Interpolation
Remarks

AXIS_FOURIER SEG2
Linear or



Bilinear
SEG3
Quadratic,


Serendip or



Biquadratic

2 Loadings
supported

The loadings available are as follows:

· SOURCE
Allows to apply voluminal sources.

· FLUX_REP
Allows to apply normal flows to faces of elements.

· ECHANGE
Allows to apply conditions of exchange with an outside temperature with faces
elements.

3 Possibilities
non-linear

Nothing.

4
Examples of implementation: case-tests

· Stationary linear thermics
TPLV305A [V4.04.305]: Analyze thermal linear of a cylinder subjected to a temperature
imposed on external surface, according to a harmonic function (mode 1).
Handbook of Utilization
U3.23 booklet: Thermal finite elements 2D
HT-66/05/004/A

Outline document