4. B modeling

4.1. Characteristics of modeling

AXIS_FOURIER (QUAD8)

The mesh description axes are \(x(r)\) and \(y(z)\).

Fashion - Fourier: 2 \(T(A)=0.\)

No source term because \({S}^{l}(r,z)=0.\) for \(l=2\)

\([\mathrm{BC}]\):	\(\phi =2.\)
\([\mathrm{CD}]\):	\(h=2.\) \({T}_{\mathrm{ext}}=2.\)

4.2. Characteristics of the mesh

Number of knots: 13.

Number of meshes and types: 2 QUAD8

4.3. notes

Since the Fourier mode number does not affect the load, the MODE_FOURIER keyword is not required in the CALC_VECT_ELEM command.

4.4. Tested values

Identification	Reference
\(T(B)\)
\(T(C)\)
\(T(D)\)
\(T(F)\)	0.25
\(T(G)\)	0.25
\({\phi }_{r}(B)\)	—2.
\({\phi }_{r}(C)\)	—2.
\({\phi }_{r}(D)\)	—2.
\({\phi }_{r}(F)\)	—1.
\({\phi }_{r}(G)\)	—1.
\({\phi }_{\theta }(B)\)
\({\phi }_{\theta }(C)\)
\({\phi }_{\theta }(D)\)
\({\phi }_{\theta }(F)\)
\({\phi }_{\theta }(G)\)
\({\phi }_{z}(B)\)
\({\phi }_{z}(C)\)
\({\phi }_{z}(D)\)
\({\phi }_{z}(F)\)
\({\phi }_{z}(G)\)

4.5. notes

The analytical solution has been found exactly.