B modeling
==============


Characteristics of modeling
-----------------------------------

AXIS_FOURIER **(QUAD8)**


.. image:: images/1000093C00001EE700000C671214E2CB2F4B2E74.svg
    :width: 398
    :height: 159


.. _RefImage_1000093C00001EE700000C671214E2CB2F4B2E74.svg:

The mesh description axes are :math:`x(r)` and :math:`y(z)`.

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

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


.. csv-table::

    ":math:`[\mathrm{BC}]`:", ":math:`\phi =2.`"
    ":math:`[\mathrm{CD}]`:", ":math:`h=2.` :math:`{T}_{\mathrm{ext}}=2.`"



Characteristics of the mesh
----------------------------

Number of knots: 13.

Number of meshes and types: 2 QUAD8


notes
---------

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


Tested values
---------------


.. csv-table::

    "**Identification**", "**Reference**"
    ":math:`T(B)` ", "1."
    ":math:`T(C)` ", "1."
    ":math:`T(D)` ", "1."
    ":math:`T(F)` ", "0.25"
    ":math:`T(G)` ", "0.25"
    ":math:`{\phi }_{r}(B)` ", "—2."
    ":math:`{\phi }_{r}(C)` ", "—2."
    ":math:`{\phi }_{r}(D)` ", "—2."
    ":math:`{\phi }_{r}(F)` ", "—1."
    ":math:`{\phi }_{r}(G)` ", "—1."
    ":math:`{\phi }_{\theta }(B)` ", "2."
    ":math:`{\phi }_{\theta }(C)` ", "2."
    ":math:`{\phi }_{\theta }(D)` ", "2."
    ":math:`{\phi }_{\theta }(F)` ", "1."
    ":math:`{\phi }_{\theta }(G)` ", "1."
    ":math:`{\phi }_{z}(B)` ", "0."
    ":math:`{\phi }_{z}(C)` ", "0."
    ":math:`{\phi }_{z}(D)` ", "0."
    ":math:`{\phi }_{z}(F)` ", "0."
    ":math:`{\phi }_{z}(G)` ", "0."



notes
---------

The analytical solution has been found exactly.