Modélisation B ============== Caractéristiques de la modélisation ----------------------------------- La modélisation utilisée est 3D_HMS. La durée de la simulation est fixée à :math:`{T}_{1}=0.01s` avec 4 pas de temps. Caractéristiques du maillage ---------------------------- 1000 mailles HEXA20. Grandeurs testées et résultats ------------------------------ On teste les valeurs de la solution numérique à l'instant final :math:`{T}_{1}=0.1s` en 3 nœuds distincts. +--------------+---------------------------------+---------------------------------+---------------------------------+------------------------------------+---------------------+ | **Nom nœud** | :math:`X` **(** :math:`m` **)** | :math:`Y` **(** :math:`m` **)** | :math:`Z` **(** :math:`m` **)** | **Solution analytique** | **Erreur relative** | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | N1948 | 0.8 | 0.2 | 0.2 | PRE1 | 2.00E-1 | 1.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DX | 2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DY | -2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DZ | -2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | N1900 | 0.2 | 0.8 | 0.2 | PRE1 | 2.00E-1 | 1.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DX | -2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DY | 2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DZ | -2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | N2380 | 0.2 | 0.2 | 0.8 | PRE1 | 2.00E-1 | 1.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DX | -2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DY | -2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ | | | | | DZ | 2.92E-2 | 0.2% | +--------------+---------------------------------+---------------------------------+---------------------------------+-------------------------+----------+---------------------+ **Tableau** 4.3-1 Remarques --------- Les résultats numériques sont en très bon accord avec les résultats analytiques.